Publications

78 Results
Skip to search filters

Sierra/SolidMechanics 5.10 Verification Tests Manual

Bergel, Guy L.; Beckwith, Frank B.; Buche, Michael R.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Parmar, Krishen J.; Shelton, Timothy S.; Thomas, Jesse D.; Trageser, Jeremy T.; Treweek, Benjamin T.; Veilleux, Michael V.; Wagman, Ellen B.

Presented in this document is a small portion of the tests that exist in the Sierra/SolidMechanics (Sierra/SM) verification test suite. Most of these tests are run nightly with the Sierra/SM code suite, and the results of the test are checked versus the correct analytical result. For each of the tests presented in this document, the test setup, a description of the analytic solution, and comparison of the Sierra/SM code results to the analytic solution is provided. Mesh convergence is also checked on a nightly basis for several of these tests. This document can be used to confirm that a given code capability is verified or referenced as a compilation of example problems. Additional example problems are provided in the Sierra/SM Example Problems Manual. Note, many other verification tests exist in the Sierra/SM test suite, but have not yet been included in this manual.

More Details

Sierra/SolidMechanics 5.10 In-Development Manual

Bergel, Guy L.; Beckwith, Frank B.; Buche, Michael R.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Parmar, Krishen J.; Shelton, Timothy S.; Thomas, Jesse T.; Trageser, Jeremy T.; Treweek, Benjamin T.; Veilleux, Michael V.; Wagman, Ellen B.

This user’s guide documents capabilities in Sierra/SolidMechanics which remain “in-development” and thus are not tested and hardened to the standards of capabilities listed in Sierra/SM 5.10 User’s Guide. Capabilities documented herein are available in Sierra/SM for experimental use only until their official release. These capabilities include, but are not limited to, novel discretization approaches such as the conforming reproducing kernel (CRK) method, numerical fracture and failure modeling aids such as the extended finite element method (XFEM) and J-integral, explicit time step control techniques, dynamic mesh rebalancing, as well as a variety of new material models and finite element formulations.

More Details

Sierra/SolidMechanics 5.10 Example Problems Manual

Bergel, Guy L.; Beckwith, Frank B.; Buche, Michael R.; Belcourt, Kenneth N.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Parmar, Krishen J.; Shelton, Timothy S.; Thomas, Jesse T.; Trageser, Jeremy T.; Treweek, Benjamin T.; Veilleux, Michael V.; Wagman, Ellen B.

Presented in this document are tests that exist in the Sierra / SolidMechanics example problem suite, which is a subset of the Sierra / SM regression and performance test suite. These examples showcase common and advanced code capabilities. A wide variety of other regression and verification tests exist in the Sierra / SM test suite that are not included in this manual.

More Details

Sierra/SolidMechanics 5.10 Theory Manual

Beckwith, Frank B.; Bergel, Guy L.; de Frias, Gabriel J.; Merewether, Mark T.; Miller, Scott T.; Mosby, Matthew D.; Parmar, Krishen J.; Plews, Julia A.; Shelton, Timothy S.; Thomas, Jesse T.; Treweek, Benjamin T.; Veilleux, Michael V.; Wagman, Ellen B.; Manktelow, Kevin M.; Trageser, Jeremy T.

Presented in this document are the theoretical aspects of capabilities contained in the Sierra/SM code. This manuscript serves as an ideal starting point for understanding the theoretical foundations of the code. For a comprehensive study of these capabilities, the reader is encouraged to explore the many references to scientific articles and textbooks contained in this manual. It is important to point out that some capabilities are still in development and may not be presented in this document. Further updates to this manuscript will be made as these capabilities come closer to production level.

More Details

Sierra/SolidMechanics 5.8 User's Manual

Bergel, Guy L.; Beckwith, Frank B.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Parmar, Krishen J.; Shelton, Timothy S.; Thomas, Jesse T.; Trageser, Jeremy T.; Treweek, Benjamin T.; Veilleux, Michael V.; Wagman, Ellen B.

Sierra/SolidMechanics (Sierra/SM) is a Lagrangian, three-dimensional code for finite element analysis of solids and structures. It provides capabilities for explicit dynamic, implicit quasistatic and dynamic analyses. The explicit dynamics capabilities allow for the efficient and robust solution of models with extensive contact subjected to large, suddenly applied loads. For implicit problems, Sierra/SM uses a multi-level iterative solver, which enables it to effectively solve problems with large deformations, nonlinear material behavior, and contact. Sierra/SM has a versatile library of continuum and structural elements, and a large library of material models. The code is written for parallel computing environments enabling scalable solutions of extremely large problems for both implicit and explicit analyses. It is built on the SIERRA Framework, which facilitates coupling with other SIERRA mechanics codes. This document describes the functionality and input syntax for Sierra/SM.

More Details

Sierra/SolidMechanics 5.8 In-Development Manual

Bergel, Guy L.; Beckwith, Frank B.; Belcourt, Kenneth N.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Parmar, Krishen J.; Plews, Julia A.; Shelton, Timothy S.; Thomas, Jesse T.; Trageser, Jeremy T.; Treweek, Benjamin T.; Veilleux, Michael V.; Wagman, Ellen B.

This user’s guide documents capabilities in Sierra/SolidMechanics which remain “in-development” and thus are not tested and hardened to the standards of capabilities listed in Sierra/SM 5.8 User’s Guide. Capabilities documented herein are available in Sierra/SM for experimental use only until their official release. These capabilities include, but are not limited to, novel discretization approaches such as the conforming reproducing kernel (CRK) method, numerical fracture and failure modeling aids such as the extended finite element method (XFEM) and J-integral, explicit time step control techniques, dynamic mesh rebalancing, as well as a variety of new material models and finite element formulations.

More Details

Sierra/SolidMechanics 5.8 Theory Manual

Bergel, Guy L.; Beckwith, Frank B.; Belcourt, Kenneth N.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Parmar, Krishen J.; Plews, Julia A.; Shelton, Timothy S.; Thomas, Jesse T.; Trageser, Jeremy T.; Treweek, Benjamin T.; Veilleux, Michael V.; Wagman, Ellen B.

Presented in this document are the theoretical aspects of capabilities contained in the Sierra/SM code. This manuscript serves as an ideal starting point for understanding the theoretical foundations of the code. For a comprehensive study of these capabilities, the reader is encouraged to explore the many references to scientific articles and textbooks contained in this manual. It is important to point out that some capabilities are still in development and may not be presented in this document. Further updates to this manuscript will be made as these capabilities come closer to production level.

More Details

Sierra/SolidMechanics 5.8 Example Problems Manual

Bergel, Guy L.; Beckwith, Frank B.; Belcourt, Kenneth N.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Parmar, Krishen J.; Plews, Julia A.; Shelton, Timothy S.; Thomas, Jesse T.; Trageser, Jeremy T.; Treweek, Benjamin T.; Veilleux, Michael V.; Wagman, Ellen B.

Presented in this document are tests that exist in the Sierra/SolidMechanics example problem suite, which is a subset of the Sierra/SM regression and performance test suite. These examples showcase common and advanced code capabilities. A wide variety of other regression and verification tests exist in the Sierra/SM test suite that are not included in this manual.

More Details

Sierra/SolidMechanics 5.8 Verification Tests Manual

Bergel, Guy L.; Beckwith, Frank B.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Parmar, Krishen J.; Shelton, Timothy S.; Thomas, Jesse T.; Trageser, Jeremy T.; Treweek, Benjamin T.; Veilleux, Michael V.; Wagman, Ellen B.

Presented in this document is a small portion of the tests that exist in the Sierra/SolidMechanics (Sierra/SM) verification test suite. Most of these tests are run nightly with the Sierra/SM code suite, and the results of the test are checked versus the correct analytical result. For each of the tests presented in this document, the test setup, a description of the analytic solution, and comparison of the Sierra/SM code results to the analytic solution is provided. Mesh convergence is also checked on a nightly basis for several of these tests. This document can be used to confirm that a given code capability is verified or referenced as a compilation of example problems. Additional example problems are provided in the Sierra/SM Example Problems Manual. Note, many other verification tests exist in the Sierra/SM test suite, but have not yet been included in this manual.

More Details

Sierra/SolidMechanics 5.6 User's Manual

Bergel, Guy L.; Beckwith, Frank B.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Parmar, Krishen J.; Shelton, Timothy S.; Thomas, Jesse T.; Trageser, Jeremy T.; Treweek, Benjamin T.; Veilleux, Michael V.; Wagman, Ellen B.

Sierra/SolidMechanics (Sierra/SM) is a three-dimensional solid mechanics code with a versatile element library, nonlinear material models, large deformation capabilities, and contact. It is built on the SIERRA Framework. SIERRA provides a data management framework in a parallel computing environment that allows the addition of capabilities in a modular fashion. Contact capabilities are parallel and scalable. This document provides information about the functionality in Sierra/SM and the command structure required to access this functionality in a user input file. This document is divided into chapters based primarily on functionality. For example, the command structure related to the use of various element types is grouped in one chapter; descriptions of material models are grouped in another chapter. Sierra/SM provides both explicit transient dynamics and implicit quasistatics and dynamics capabilities. Both the explicit and implicit modules are highly scalable in a parallel computing environment. In the past, the explicit and implicit capabilities were provided by two separate codes, known as Presto and Adagio, respectively. These capabilities have been consolidated into a single code. The executable is named Adagio, but it provides the full suite of solid mechanics capabilities, for both implicit and explicit. The Presto executable has been disabled as a consequence of this consolidation.

More Details

Sierra/SolidMechanics 5.6 Example Problems Manual

Bergel, Guy L.; Beckwith, Frank B.; Belcourt, Kenneth N.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Parmar, Krishen J.; Plews, Julia A.; Shelton, Timothy S.; Thomas, Jesse T.; Trageser, Jeremy T.; Treweek, Benjamin T.; Veilleux, Michael V.; Wagman, Ellen B.

Presented in this document are tests that exist in the Sierra/SolidMechanics example problem suite, which is a subset of the Sierra/SM regression and performance test suite. These examples showcase common and advanced code capabilities. A wide variety of other regression and verification tests exist in the Sierra/SM test suite that are not included in this manual.

More Details

Sierra/SolidMechanics 5.6 Theory Manual

Bergel, Guy L.; Beckwith, Frank B.; Belcourt, Kenneth N.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Parmar, Krishen J.; Plews, Julia A.; Shelton, Timothy S.; Thomas, Jesse T.; Trageser, Jeremy T.; Treweek, Benjamin T.; Veilleux, Michael V.; Wagman, Ellen B.

Presented in this document are the theoretical aspects of capabilities contained in the Sierra/SM code. This manuscript serves as an ideal starting point for understanding the theoretical foundations of the code. For a comprehensive study of these capabilities, the reader is encouraged to explore the many references to scientific articles and textbooks contained in this manual. It is important to point out that some capabilities are still in development and may not be presented in this document. Further updates to this manuscript will be made as these capabilities come closer to production level.

More Details

Sierra/SolidMechanics 5.6 Capabilities in Development

Bergel, Guy L.; Beckwith, Frank B.; Belcourt, Kenneth N.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Parmar, Krishen J.; Plews, Julia A.; Shelton, Timothy S.; Thomas, Jesse T.; Trageser, Jeremy T.; Treweek, Benjamin T.; Veilleux, Michael V.; Wagman, Ellen B.

This user's guide documents capabilities in Sierra/SolidMechanics which remain "in-development" and thus are not tested and hardened to the standards of capabilities listed in Sierra/SM 5.6 User's Guide. Capabilities documented herein are available in Sierra/SM for experimental use only until their official release. These capabilities include, but are not limited to, novel discretization approaches such as the conforming reproducing kernel (CRK) method, numerical fracture and failure modeling aids such as the extended finite element method (XFEM) and J-integral, explicit time step control techniques, dynamic mesh rebalancing, as well as a variety of new material models and finite element formulations.

More Details

Sierra/SolidMechanics 5.6 Verification Tests Manual

Bergel, Guy L.; Beckwith, Frank B.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Parmar, Krishen J.; Shelton, Timothy S.; Thomas, Jesse T.; Trageser, Jeremy T.; Treweek, Benjamin T.; Veilleux, Michael V.; Wagman, Ellen B.

Presented in this document is a small portion of the tests that exist in the Sierra / SolidMechanics (Sierra / SM) verfication test suite. Most of these tests are run nightly with the Sierra / SM code suite, and the results of the test are checked versus the correct analytical result. For each of the tests presented in this document, the test setup, a description of the analytic solution, and comparison of the Sierra / SM code results to the analytic solution is provided. Mesh convergence is also checked on a nightly basis for several of these tests. This document can be used to confirm that a given code capability is verfied or referenced as a compilation of example problems. Additional example problems are provided in the Sierra / SM Example Problems Manual. Note, many other verfication tests exist in the Sierra / SM test suite, but have not yet been included in this manual.

More Details

Sierra/SolidMechanics 5.4 Verification Tests Manual

Bergel, Guy L.; Beckwith, Frank B.; Belcourt, Kenneth N.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Parmar, Krishen J.; Plews, Julia A.; Shelton, Timothy S.; Thomas, Jesse T.; Trageser, Jeremy T.; Treweek, Benjamin T.; Veilleux, Michael V.; Wagman, Ellen B.

Presented in this document is a small portion of the tests that exist in the Sierra/SolidMechanics (Sierra/SM) verification test suite. Most of these tests are run nightly with the Sierra/SM code suite, and the results of the test are checked versus the correct analytical result. For each of the tests presented in this document, the test setup, a description of the analytic solution, and comparison of the Sierra/SM code results to the analytic solution is provided. Mesh convergence is also checked on a nightly basis for several of these tests. This document can be used to confirm that a given code capability is verified or referenced as a compilation of example problems. Additional example problems are provided in the Sierra/SM Example Problems Manual. Note, many other verification tests exist in the Sierra/SM test suite, but have not yet been included in this manual.

More Details

Sierra/SolidMechanics 5.2 User's Guide: Addendum for Shock Capabilities

Bergel, Guy L.; Beckwith, Frank B.; Belcourt, Kenneth N.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Mosby, Matthew D.; Plews, Julia A.; Shelton, Timothy S.; Thomas, Jesse T.; Treweek, Benjamin T.; Tupek, Michael R.; Veilleux, Michael V.; Wagman, Ellen B.

This is an addendum to the Sierra/SolidMechanics 5.2 User's Guide that documents additional capabilities available only in alternate versions of the Sierra/SolidMechanics (Sierra/SM) code. These alternate versions are enhanced to provide capabilities that are regulated under the U.S. Department of State's International Traffic in Arms Regulations (ITAR) export control rules. The ITAR regulated codes are only distributed to entities that comply with the ITAR export control requirements. The ITAR enhancements to Sierra/SM include material models with an energy-dependent pressure response (appropriate for very large deformations and strain rates) and capabilities for blast modeling. This document is an addendum only; the standard Sierra/SolidMechanics 5.2 User's Guide should be referenced for most general descriptions of code capability and use.

More Details

Sierra/SolidMechanics 5.2 User's Guide

Bergel, Guy L.; Beckwith, Frank B.; Belcourt, Kenneth N.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Mosby, Matthew D.; Plews, Julia A.; Shelton, Timothy S.; Thomas, Jesse T.; Treweek, Benjamin T.; Tupek, Michael R.; Veilleux, Michael V.; Wagman, Ellen B.

Sierra/SolidMechanics (Sierra/SM) is a Lagrangian, three-dimensional code for finite element analysis of solids and structures. It provides capabilities for explicit dynamic, implicit quasistatic and dynamic analyses. The explicit dynamics capabilities allow for the efficient and robust solution of models with extensive contact subjected to large, suddenly applied loads. For implicit problems, Sierra/SM uses a multi-level iterative solver, which enables it to effectively solve problems with large deformations, nonlinear material behavior, and contact. Sierra/SM has a versatile library of continuum and structural elements, and a large library of material models. The code is written for parallel computing environments enabling scalable solutions of extremely large problems for both implicit and explicit analyses. It is built on the SIERRA Framework, which facilitates coupling with other SIERRA mechanics codes. This document describes the functionality and input syntax for Sierra/SM.

More Details

Sierra/SolidMechanics 5.2 Verification Tests Manual

Merewether, Mark T.; Shelton, Timothy S.; Beckwith, Frank B.; Veilleux, Michael V.; Tupek, Michael R.; Gampert, Scott G.; Manktelow, Kevin M.; de Frias, Gabriel J.; Mosby, Matthew D.; Plews, Julia A.; Wagman, Ellen B.; Bergel, Guy L.; Treweek, Benjamin T.; Miller, Scott T.; Thomas, Jesse D.

Presented in this document is a small portion of the tests that exist in the Sierra/SolidMechanics (Sierra / SM) verification test suite. Most of these tests are run nightly with the Sierra/SM code suite, and the results of the test are checked versus the correct analytical result. For each of the tests presented in this document, the test setup, a description of the analytic solution, and comparison of the Sierra/SM code results to the analytic solution is provided. Mesh convergence is also checked on a nightly basis for several of these tests. This document can be used to confirm that a given code capability is verified or referenced as a compilation of example problems. Additional example problems are provided in the Sierra/SM Example Problems Manual. Note, many other verification tests exist in the Sierra/SM test suite, but have not yet been included in this manual.

More Details

Sierra/SolidMechanics 5.2 Example Problems Manual

Merewether, Mark T.; Shelton, Timothy S.; Beckwith, Frank B.; Veilleux, Michael V.; Tupek, Michael R.; Gampert, Scott G.; Manktelow, Kevin M.; de Frias, Gabriel J.; Mosby, Matthew D.; Plews, Julia A.; Wagman, Ellen B.; Bergel, Guy L.; Treweek, Benjamin T.; Miller, Scott T.; Thomas, Jesse D.

Presented in this document are tests that exist in the Sierra/SolidMechanics example problem suite, which is a subset of the Sierra/SM regression and performance test suite. These examples showcase common and advanced code capabilities. A wide variety of other regression and verification tests exist in the Sierra/SM test suite that are not included in this manual.

More Details

Sierra/SolidMechanics 5.2 Theory Manual

Beckwith, Frank B.; Guy, Donald W.; de Frias, Gabriel J.; Merewether, Mark T.; Miller, Scott T.; Mosby, Matthew D.; Parmar, Krishen J.; Plews, Julia A.; Shelton, Timothy S.; Thomas, Jesse T.; Treweek, Benjamin T.; Tupek, Michael R.; Veilleux, Michael V.; Wagman, Ellen B.; Manktelow, Kevin M.

Presented in this document are the theoretical aspects of capabilities contained in the Sierra/SM code. This manuscript serves as an ideal starting point for understanding the theoretical foundations of the code. For a comprehensive study of these capabilities, the reader is encouraged to explore the many references to scientific articles and textbooks contained in this manual. It is important to point out that some capabilities are still in development and may not be presented in this document. Further updates to this manuscript will be made as these capabilities come closer to production level.

More Details

Sierra/SolidMechanics 5.2 Capabilities in Development

Bergel, Guy L.; Beckwith, Frank B.; Belcourt, Kenneth N.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Mosby, Matthew D.; Plews, Julia A.; Shelton, Timothy S.; Thomas, Jesse T.; Treweek, Benjamin T.; Tupek, Michael R.; Veilleux, Michael V.; Wagman, Ellen B.

This user’s guide documents capabilities in Sierra/SolidMechanics which remain “in-development” and thus are not tested and hardened to the standards of capabilities listed in Sierra/SM 5.2 User’s Guide. Capabilities documented herein are available in Sierra/SM for experimental use only until their official release. These capabilities include, but are not limited to, novel discretization approaches such as the conforming reproducing kernel (CRK) method, numerical fracture and failure modeling aids such as the extended finite element method (XFEM) and J-integral, explicit time step control techniques, dynamic mesh rebalancing, as well as a variety of new material models and finite element formulations.

More Details

Localizing Clinical Patterns of Blast Traumatic Brain Injury Through Computational Modeling and Simulation

Frontiers in Neurology

Miller, Scott T.; Cooper, Candice F.; Elsbernd, Paul; Kerwin, Joseph; Mejia-Alvarez, Ricardo; Willis, Adam M.

Blast traumatic brain injury is ubiquitous in modern military conflict with significant morbidity and mortality. Yet the mechanism by which blast overpressure waves cause specific intracranial injury in humans remains unclear. Reviewing of both the clinical experience of neurointensivists and neurosurgeons who treated service members exposed to blast have revealed a pattern of injury to cerebral blood vessels, manifested as subarachnoid hemorrhage, pseudoaneurysm, and early diffuse cerebral edema. Additionally, a seminal neuropathologic case series of victims of blast traumatic brain injury (TBI) showed unique astroglial scarring patterns at the following tissue interfaces: subpial glial plate, perivascular, periventricular, and cerebral gray-white interface. The uniting feature of both the clinical and neuropathologic findings in blast TBI is the co-location of injury to material interfaces, be it solid-fluid or solid-solid interface. This motivates the hypothesis that blast TBI is an injury at the intracranial mechanical interfaces. In order to investigate the intracranial interface dynamics, we performed a novel set of computational simulations using a model human head simplified but containing models of gyri, sulci, cerebrospinal fluid (CSF), ventricles, and vasculature with high spatial resolution of the mechanical interfaces. Simulations were performed within a hybrid Eulerian—Lagrangian simulation suite (CTH coupled via Zapotec to Sierra Mechanics). Because of the large computational meshes, simulations required high performance computing resources. Twenty simulations were performed across multiple exposure scenarios—overpressures of 150, 250, and 500 kPa with 1 ms overpressure durations—for multiple blast exposures (front blast, side blast, and wall blast) across large variations in material model parameters (brain shear properties, skull elastic moduli). All simulations predict fluid cavitation within CSF (where intracerebral vasculature reside) with cavitation occurring deep and diffusely into cerebral sulci. These cavitation events are adjacent to high interface strain rates at the subpial glial plate. Larger overpressure simulations (250 and 500kPa) demonstrated intraventricular cavitation—also associated with adjacent high periventricular strain rates. Additionally, models of embedded intraparenchymal vascular structures—with diameters as small as 0.6 mm—predicted intravascular cavitation with adjacent high perivascular strain rates. The co-location of local maxima of strain rates near several of the regions that appear to be preferentially damaged in blast TBI (vascular structures, subpial glial plate, perivascular regions, and periventricular regions) suggest that intracranial interface dynamics may be important in understanding how blast overpressures leads to intracranial injury.

More Details

Sierra/SolidMechanics 5.0 User's Guide

Beckwith, Frank B.; Bergel, Guy L.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Mosby, Matthew D.; Plews, Julia A.; Porter, V.L.; Shelton, Timothy S.; Thomas, Jesse D.; Treweek, Benjamin T.; Tupek, Michael R.; Veilleux, Michael V.; Wagman, Ellen B.

Sierra/SolidMechanics (Sierra/SM) is a Lagrangian, three-dimensional code for finite element analysis of solids and structures. It provides capabilities for explicit dynamic, implicit quasistatic and dynamic analyses. The explicit dynamics capabilities allow for the efficient and robust solution of models with extensive contact subjected to large, suddenly applied loads. For implicit problems, Sierra/SM uses a multi-level iterative solver, which enables it to effectively solve problems with large deformations, nonlinear material behavior, and contact. Sierra/SM has a versatile library of continuum and structural elements, and a large library of material models. The code is written for parallel computing environments enabling scalable solutions of extremely large problems for both implicit and explicit analyses. It is built on the SIERRA Framework, which facilitates coupling with other SIERRA mechanics codes. This document describes the functionality and input syntax for Sierra/SM.

More Details

Sierra/SolidMechanics 5.0 Capabilities in Development

Beckwith, Frank B.; Bergel, Guy L.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Mosby, Matthew D.; Plews, Julia A.; Porter, V.L.; Shelton, Timothy S.; Thomas, Jesse D.; Treweek, Benjamin T.; Tupek, Michael R.; Veilleux, Michael V.; Wagman, Ellen B.

This user’s guide documents capabilities in Sierra/SolidMechanics which remain “in-development” and thus are not tested and hardened to the standards of capabilities listed in Sierra/SM 5.0 User’s Guide. Capabilities documented herein are available in Sierra/SM for experimental use only until their official release. These capabilities include, but are not limited to, novel discretization approaches such as peridynamics and the conforming reproducing kernel (CRK) method, numerical fracture and failure modeling aids such as the extended finite element method (XFEM) and $\textit{J}$-integral, explicit time step control techniques, dynamic mesh rebalancing, as well as a variety of new material models and finite element formulations.

More Details

Sierra/SolidMechanics 5.0 User's Guide Addendum for Shock Capabilities

Beckwith, Frank B.; Bergel, Guy L.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Mosby, Matthew D.; Plews, Julia A.; Porter, V.L.; Shelton, Timothy S.; Thomas, Jesse D.; Treweek, Benjamin T.; Tupek, Michael R.; Veilleux, Michael V.; Wagman, Ellen B.

This is an addendum to the Sierra/SolidMechanics 5.0 User’s Guide that documents additional capabilities available only in alternate versions of the Sierra/SolidMechanics (Sierra/SM) code. These alternate versions are enhanced to provide capabilities that are regulated under the U.S. Department of State’s International Traffic in Arms Regulations (ITAR) export control rules. The ITAR regulated codes are only distributed to entities that comply with the ITAR export control requirements. The ITAR enhancements to Sierra/SM include material models with an energy-dependent pressure response (appropriate for very large deformations and strain rates) and capabilities for blast modeling. This document is an addendum only; the standard Sierra/SolidMechanics 5.0 User’s Guide should be referenced for most general descriptions of code capability and use.

More Details

Sierra/SolidMechanics 5.0 Theory Manual

Beckwith, Frank B.; Bergel, Guy L.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Mosby, Matthew D.; Plews, Julia A.; Porter, V.L.; Shelton, Timothy S.; Thomas, Jesse D.; Treweek, Benjamin T.; Tupek, Michael R.; Veilleux, Michael V.; Wagman, Ellen B.

Presented in this document are the theoretical aspects of capabilities contained in the Sierra/SM code. This manuscript serves as an ideal starting point for understanding the theoretical foundations of the code. For a comprehensive study of these capabilities, the reader is encouraged to explore the many references to scientific articles and textbooks contained in this manual. It is important to point out that some capabilities are still in development and may not be presented in this document. Further updates to this manuscript will be made as these capabilities come closer to production level.

More Details

Sierra/SolidMechanics 5.0 Example Problems Manual

Beckwith, Frank B.; Bergel, Guy L.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Mosby, Matthew D.; Plews, Julia A.; Porter, V.L.; Shelton, Timothy S.; Thomas, Jesse D.; Treweek, Benjamin T.; Tupek, Michael R.; Veilleux, Michael V.; Wagman, Ellen B.

Presented in this document are tests that exist in the Sierra/SolidMechanics example problem suite, which is a subset of the Sierra / SM regression and performance test suite. These examples showcase common and advanced code capabilities. A wide variety of other regression and verification tests exist in the Sierra / SM test suite that are not included in this manual.

More Details

Sierra/SolidMechanics 5.0 Verification Tests Manual

Beckwith, Frank B.; Bergel, Guy L.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Mosby, Matthew D.; Plews, Julia A.; Porter, V.L.; Shelton, Timothy S.; Thomas, Jesse D.; Treweek, Benjamin T.; Tupek, Michael R.; Veilleux, Michael V.; Wagman, Ellen B.

Presented in this document is a small portion of the tests that exist in the Sierra/SolidMechanics (Sierra/SM) verification test suite. Most of these tests are run nightly with the Sierra / SM code suite, and the results of the test are checked versus the correct analytical result. For each of the tests presented in this document, the test setup, a description of the analytic solution, and comparison of the Sierra / SM code results to the analytic solution is provided. Mesh convergence is also checked on a nightly basis for several of these tests. This document can be used to confirm that a given code capability is verified or referenced as a compilation of example problems. Additional example problems are provided in the Sierra/SM Example Problems Manual. Note, many other verification tests exist in the Sierra/SM test suite, but have not yet been included in this manual.

More Details

Sierra/SolidMechanics 5.0 Goodyear Specific

Beckwith, Frank B.; Bergel, Guy L.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Mosby, Matthew D.; Plews, Julia A.; Porter, V.L.; Shelton, Timothy S.; Thomas, Jesse D.; Treweek, Benjamin T.; Tupek, Michael R.; Veilleux, Michael V.; Wagman, Ellen B.

Sierra/SolidMechanics (Sierra/SM) is a Lagrangian, three-dimensional finite element analysis code for solids and structures subjected to extensive contact and large deformations, encompassing explicit and implicit dynamic as well as quasistatic loading regimes. This document supplements the primary Sierra/SM 5.0 User’s Guide, describing capabilities specific to Goodyear analysis use cases, including additional implicit solver options, material models, finite element formulations, and contact settings.

More Details

Sierra/SD - User's Manual

Bunting, Gregory B.; Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Ferri, Brian A.; Hardesty, Sean H.; Lindsay, Payton L.; Miller, Scott T.; Stevens, B.L.; Walsh, Timothy W.

Sierra/SD provides a massively parallel implementation of structural dynamics finite element analysis, required for high-fidelity, validated models used in modal, vibration, static and shock analysis of weapons systems. This document provides a user’s guide to the input for Sierra/SD. Details of input specifications for the different solution types, output options, element types and parameters are included. The appendices contain detailed examples, and instructions for running the software on parallel platforms.

More Details

Sierra/SD - Theory Manual

Bunting, Gregory B.; Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Ferri, Brian A.; Hardesty, Sean H.; Lindsay, Payton L.; Miller, Scott T.; Stevens, B.L.; Walsh, Timothy W.

Sierra/SD provides a massively parallel implementation of structural dynamics finite element analysis, required for high fidelity, validated models used in modal, vibration, static and shock analysis of structural systems. This manual describes the theory behind many of the constructs in Sierra/SD. For a more detailed description of how to use Sierra/SD, we refer the reader to User’s Manual. Many of the constructs in Sierra/SD are pulled directly from published material. Where possible, these materials are referenced herein. However, certain functions in Sierra/SD are specific to our implementation. We try to be far more complete in those areas. The theory manual was developed from several sources including general notes, a programmer_notes manual, the user’s notes and of course the material in the open literature.

More Details

Sierra/SD – Verification Test Manual – 5.0

Bunting, Gregory B.; Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Ferri, Brian A.; Hardesty, Sean H.; Lindsay, Payton L.; Miller, Scott T.; Stevens, B.L.; Walsh, Timothy W.

This document presents tests from the Sierra Structural Mechanics verification test suite. Each of these tests is run nightly with the Sierra/SD code suite and the results of the test checked versus the correct analytic result. For each of the tests presented in this document the test setup, derivation of the analytic solution, and comparison of the Sierra/SD code results to the analytic solution is provided. This document can be used to confirm that a given code capability is verified or referenced as a compilation of example problems.

More Details

Sierra/SD - How To Manual, 5.0

Bunting, Gregory B.; Crane, Nathan K.; Day, David B.; Dohrmann, Clark R.; Ferri, Brian A.; Hardesty, Sean H.; Lindsay, Payton L.; Miller, Scott T.; Stevens, B.L.; Walsh, Timothy W.

The “how to” document guides the user through complicated aspects of software usage. It should supplement both the User’s manual and the Theory document, by providing examples and detailed discussion that reduce learning time for complex set ups. These documents are intended to be used together. We will not formally list all parameters for an input here – see the User’s manual for this. All the examples in the “How To” document are part of the Sierra/SD test suite, and each will run with no modification. The nature of this document casts together a number of rather unrelated procedures. Grouping them is difficult. Please try to use the table of contents and the index as a guide in finding the analyses of interest.

More Details

Sierra/SD-- How To Manual - 4.58

Bunting, Gregory B.; Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Ferri, Brian A.; Hardesty, Sean H.; Lindsay, Payton L.; Miller, Scott T.; Stevens, B.L.; Walsh, Timothy W.

The “how to” document is designed to help walk the analyst through difficult aspects of software usage. It should supplement both the User’s manual and the Theory document, by providing examples and detailed discussion that reduce learning time for complex set ups. These documents are intended to be used together. We will not formally list all parameters for an input here – see the User’s manual for this. All the examples in the “How To” document are part of the Sierra/SD test suite, and each will run with no modification. The nature of this document casts together a number of rather unrelated procedures. Grouping them is difficult. Please try to use the table of contents and the index as a guide in finding the analyses of interest.

More Details

Sierra/SolidMechanics 4.58 User's Guide Addendum for Shock Capabilities

Merewether, Mark T.; Treweek, Benjamin T.; Wagman, Ellen B.; Beckwith, Frank B.; de Frias, Gabriel J.; Koester, Jacob K.; Thomas, Jesse D.; Plews, Julia A.; Belcourt, Kenneth N.; Manktelow, Kevin M.; Mosby, Matthew D.; Veilleux, Michael V.; Tupek, Michael R.; Miller, Scott T.; Shelton, Timothy S.; Porter, V.L.; Gampert, Scott G.

This is an addendum to the Sierra/SolidMechanics 4.58 User's Guide that documents additional capabilities available only in alternate versions of the Sierra/SolidMechanics (Sierra/SM) code. These alternate versions are enhanced to provide capabilities that are regulated under the U.S. Department of State's International Traffic in Arms Regulations (ITAR) export control rules. The ITAR regulated codes are only distributed to entities that comply with the ITAR export control requirements. The ITAR enhancements to Sierra/SM include material models with an energy-dependent pressure response (appropriate for very large deformations and strain rates) and capabilities for blast modeling. This document is an addendum only; the standard Sierra/SolidMechanics 4.58 User's Guide should be referenced for most general descriptions of code capability and use.

More Details

Sierra/SolidMechanics 4.58. Capabilities In Development

Merewether, Mark T.; Treweek, Benjamin T.; Wagman, Ellen B.; Beckwith, Frank B.; de Frias, Gabriel J.; Koester, Jacob K.; Thomas, Jesse D.; Plews, Julia A.; Belcourt, Kenneth N.; Manktelow, Kevin M.; Mosby, Matthew D.; Veilleux, Michael V.; Tupek, Michael R.; Miller, Scott T.; Shelton, Timothy S.; Porter, V.L.; Gampert, Scott G.

This user’s guide documents capabilities in Sierra/SolidMechanics which remain “in-development” and thus are not tested and hardened to the standards of capabilities listed in Sierra/SM 4.58 User’s Guide. Capabilities documented herein are available in Sierra/SM for experimental use only until their official release. These capabilities include, but are not limited to, novel discretization approaches such as peridynamics and the reproducing kernel particle method (RKPM), numerical fracture and failure modeling aids such as the extended finite element method (XFEM) and /-integral, explicit time step control techniques, dynamic mesh rebalancing, as well as a variety of new material models and finite element formulations

More Details

Sierra/SD–Verification Test Manual - 4.58

Bunting, Gregory B.; Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Ferri, Brian A.; Hardesty, Sean H.; Lindsay, Payton L.; Miller, Scott T.; Stevens, B.L.; Walsh, Timothy W.

This document presents tests from the Sierra Structural Mechanics verification test suite. Each of these tests is run nightly with the Sierra/SD code suite and the results of the test checked versus the correct analytic result. For each of the tests presented in this document the test setup, derivation of the analytic solution, and comparison of the Sierra/SD code results to the analytic solution is provided. This document can be used to confirm that a given code capability is verified or referenced as a compilation of example problems.

More Details

Sierra/SolidMechanics 4.56 User's Guide: Addendum for Shock Capabilities

Merewether, Mark T.; Plews, Julia A.; de Frias, Gabriel J.; Mosby, Matthew D.; Porter, V.L.; Shelton, Timothy S.; Thomas, Jesse D.; Tupek, Michael R.; Veilleux, Michael V.; Manktelow, Kevin M.; Beckwith, Frank B.; Belcourt, Kenneth N.; Miller, Scott T.; Treweek, Benjamin T.; Wagman, Ellen B.; Koester, Jacob K.

This is an addendum to the Sierra/SolidMechanics 4.56 User's Guide that documents additional capabilities available only in alternate versions of the Sierra/SolidMechanics (Sierra/SM) code. These alternate versions are enhanced to provide capabilities that are regulated under the U.S. Department of State's International Traffic in Arms Regulations (ITAR) export control rules. The ITAR regulated codes are only distributed to entities that comply with the ITAR export control requirements. The ITAR enhancements to Sierra/SM include material models with an energy-dependent pressure response (appropriate for very large deformations and strain rates) and capabilities for blast modeling. This document is an addendum only; the standard Sierra/SolidMechanics 4.56 User's Guide should be referenced for most general descriptions of code capability and use.

More Details

Sierra/SolidMechanics 4.56 Capabilities In Development

Merewether, Mark T.; Plews, Julia A.; de Frias, Gabriel J.; Mosby, Matthew D.; Porter, V.L.; Shelton, Timothy S.; Thomas, Jesse D.; Tupek, Michael R.; Veilleux, Michael V.; Manktelow, Kevin M.; Beckwith, Frank B.; Belcourt, Kenneth N.; Miller, Scott T.; Treweek, Benjamin T.; Wagman, Ellen B.; Koester, Jacob K.

This user's guide documents capabilities in Sierra/SolidMechanics which remain "in-development" and thus are not tested and hardened to the standards of capabilities listed in Sierra/SM 4.56 User's Guide. Capabilities documented herein are available in Sierra/SM for experimental use only until their official release. These capabilities include, but are not limited to, novel discretization approaches such as peridynamics and the reproducing kernel particle method (RKPM), numerical fracture and failure modeling aids such as the extended finite element method (XFEM) and J-integral, explicit time step control techniques, dynamic mesh rebalancing, as well as a variety of new material models and finite element formulations.

More Details

Sierra/SolidMechanics 4.56 Theory Manual

Beckwith, Frank B.; Belcourt, Kenneth N.; de Frias, Gabriel J.; Koester, Jacob K.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Mosby, Matthew D.; Plews, Julia A.; Porter, V.L.; Shelton, Timothy S.; Thomas, Jesse T.; Treweek, Benjamin T.; Tupek, Michael R.; Veilleux, Michael V.; Wagman, Ellen B.

Presented in this document are the theoretical aspects of capabilities contained in the Sierra/SM code. This manuscript serves as an ideal starting point for understanding the theoretical foundations of the code. For a comprehensive study of these capabilities, the reader is encouraged to explore the many references to scientific articles and textbooks contained in this manual. It is important to point out that some capabilities are still in development and may not be presented in this document. Further updates to this manuscript will be made as these capabilities come closer to production level.

More Details

Sierra/SolidMechanics 4.56 Goodyear User's Guide

Merewether, Mark T.; Plews, Julia A.; de Frias, Gabriel J.; Mosby, Matthew D.; Porter, V.L.; Shelton, Timothy S.; Thomas, Jesse D.; Tupek, Michael R.; Veilleux, Michael V.; Manktelow, Kevin M.; Beckwith, Frank B.; Belcourt, Kenneth N.; Miller, Scott T.; Treweek, Benjamin T.; Wagman, Ellen B.; Koester, Jacob K.

Sierra/SolidMechanics (Sierra/SM) is a Lagrangian, three-dimensional finite element analysis code for solids and structures subjected to extensive contact and large deformations, encompassing explicit and implicit dynamic as well as quasistatic loading regimes. This document supplements the primary Sierra/SM 4.56 User’s Guide, describing capabilities specific to Goodyear analysis use cases, including additional implicit solver options, material models, finite element formulations, and contact settings.

More Details

Sierra/SolidMechanics 4.54 Example Problems Manual

Veilleux, Michael V.; Beckwith, Frank B.; Belcourt, Kenneth N.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Mosby, Matthew D.; Plews, Julia A.; Porter, V.L.; Shelton, Timothy S.; Thomas, Jesse D.; Tupek, Michael R.

Presented in this document are tests that exist in the Sierra/SolidMechanics example problem suite, which is a subset of the Sierra/SM regression and performance test suite. These examples showcase common and advanced code capabilities. A wide variety of other regression and verification tests exist in the Sierra/SM test suite that are not included in this manual.

More Details

Sierra/SolidMechanics 4.54 Theory Manual

Veilleux, Michael V.; Beckwith, Frank B.; Belcourt, Kenneth N.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Mosby, Matthew D.; Plews, Julia A.; Porter, V.L.; Shelton, Timothy S.; Thomas, Jesse D.; Tupek, Michael R.

Presented in this document are the theoretical aspects of capabilities contained in the Sierra/SM code. This manuscript serves as an ideal starting point for understanding the theoretical foundations of the code. For a comprehensive study of these capabilities, the reader is encouraged to explore the many references to scientific articles and textbooks contained in this manual. It is important to point out that some capabilities are still in development and may not be presented in this document. Further updates to this manuscript will be made as these capabilities come closer to production level.

More Details

Sierra/SolidMechanics 4.54 Goodyear Specific

Veilleux, Michael V.; Beckwith, Frank B.; Belcourt, Kenneth N.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Mosby, Matthew D.; Plews, Julia A.; Porter, V.L.; Shelton, Timothy S.; Thomas, Jesse D.; Tupek, Michael R.

Sierra/SolidMechanics (Sierra/SM) is a Lagrangian, three-dimensional finite element analysis code for solids and structures subjected to extensive contact and large deformations, encompassing explicit and implicit dynamic as well as quasistatic loading regimes. This document supplements the primary Sierra/SM 4.54 User's Guide, describing capabilities specific to Goodyear analysis use cases, including additional implicit solver options, material models, finite element formulations, and contact settings.

More Details

Sierra/SolidMechanics 4.54 Verification Tests Manual

Veilleux, Michael V.; Beckwith, Frank B.; Belcourt, Kenneth N.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Mosby, Matthew D.; Plews, Julia A.; Porter, V.L.; Shelton, Timothy S.; Thomas, Jesse D.; Tupek, Michael R.

Presented in this document is a small portion of the tests that exist in the Sierra/SolidMechanics (Sierra/SM) verification test suite. Most of these tests are run nightly with the Sierra/SM code suite, and the results of the test are checked versus the correct analytical result. For each of the tests presented in this document, the test setup, a description of the analytic solution, and comparison of the Sierra/SM code results to the analytic solution is provided. Mesh convergence is also checked on a nightly basis for several of these tests. This document can be used to confirm that a given code capability is verified or referenced as a compilation of example problems. Additional example problems are provided in the Sierra/SM Example Problems Manual. Note, many other verification tests exist in the Sierra/SM test suite, but have not yet been included in this manual.

More Details

Sierra/SolidMechanics 4.54. Capabilities in Development

Veilleux, Michael V.; Beckwith, Frank B.; Belcourt, Kenneth N.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Mosby, Matthew D.; Plews, Julia A.; Porter, V.L.; Shelton, Timothy S.; Thomas, Jesse D.; Tupek, Michael R.

This user’s guide documents capabilities in Sierra/SolidMechanics which remain “in-development” and thus are not tested and hardened to the standards of capabilities listed in Sierra/SM 4.54 User’s Guide. Capabilities documented herein are available in Sierra/SM for experimental use only until their official release. These capabilities include, but are not limited to, novel discretization approaches such as peridynamics and the reproducing kernel particle method (RKPM), numerical fracture and failure modeling aids such as the extended finite element method (XFEM) and /-integral, explicit time step control techniques, dynamic mesh rebalancing, as well as a variety of new material models and finite element formulations.

More Details

Sierra/SolidMechanics 4.54 User's Guide: Addendum for Shock Capabilities

Veilleux, Michael V.; Beckwith, Frank B.; Belcourt, Kenneth N.; de Frias, Gabriel J.; Manktelow, Kevin M.; Merewether, Mark T.; Miller, Scott T.; Mosby, Matthew D.; Plews, Julia A.; Porter, V.L.; Shelton, Timothy S.; Thomas, Jesse D.; Tupek, Michael R.

This is an addendum to the Sierra/SolidMechanics 4.54 User's Guide that documents additional capabilities available only in alternate versions of the Sierra/SolidMechanics (Sierra/SM) code. These alternate versions are enhanced to provide capabilities that are regulated under the U.S. Department of State's International Traffic in Arms Regulations (ITAR) export control rules. The ITAR regulated codes are only distributed to entities that comply with the ITAR export control requirements. The ITAR enhancements to Sierra/SM include material models with an energy-dependent pressure response (appropriate for very large deformations and strain rates) and capabilities for blast modeling. This document is an addendum only; the standard Sierra/SolidMechanics 4.54 User's Guide should be referenced for most general descriptions of code capability and use.

More Details

A gradient-based optimization approach for the detection of partially connected surfaces using vibration tests

Computer Methods in Applied Mechanics and Engineering

Aquino, Wilkins A.; Bunting, Gregory B.; Miller, Scott T.; Walsh, Timothy W.

The integrity of engineering structures is often compromised by embedded surfaces that result from incomplete bonding during the manufacturing process, or initiation of damage from fatigue or impact processes. Examples include delaminations in composite materials, incomplete weld bonds when joining two components, and internal crack planes that may form when a structure is damaged. In many cases the areas of the structure in question may not be easily accessible, thus precluding the direct assessment of structural integrity. In this paper, we present a gradient-based, partial differential equation (PDE)-constrained optimization approach for solving the inverse problem of interface detection in the context of steady-state dynamics. An objective function is defined that represents the difference between the model predictions of structural response at a set of spatial locations, and the experimentally measured responses. One of the contributions of our work is a novel representation of the design variables using a density field that takes values in the range [0,1]andraised and raised to an integer exponent that promotes solutions to be near the extrema of the range. The density field is combined with the penalty method for enforcing a zero gap condition and realizing partially bonded surfaces. The use of the penalty method with a density field representation leads to objective functions that are continuously differentiable with respect to the unknown parameters, enabling the use of efficient gradient-based optimization algorithms. Numerical examples of delaminated plates are presented to demonstrate the feasibility of the approach.

More Details

Sierra Structural Dynamics Verification Test Manual4.48 release

Crane, Nathan K.; Day, David M.; Munday, Lynn B.; Bunting, Gregory B.; Miller, Scott T.; Lindsay, Payton L.

This document presents tests from the Sierra Structural Mechanics verification test suite. Each of these tests is run nightly with the Sierra/SD code suite and the results of the test checked versus the correct analytic result. For each of the tests presented in this document the test setup, derivation of the analytic solution, and comparison of the Sierra/SD code results to the analytic solution is provided. This document can be used to confirm that a given code capability is verified or referenced as a compilation of example problems.

More Details

An Improved Formulation for Hybridizable Discontinuous Galerkin Fluid-Structure Interaction Modeling with Reduced Computational Expense

Communications in Computational Physics

Miller, Scott T.; Sheldon, Jason S.; Miller, Scott T.; Pitt, Jonathan P.

Here, this work presents two computational efficiency improvements for the hybridizable discontinuous Galerkin (HDG) fluid-structure interaction (FSI) model presented by Sheldon et al. A new formulation for the solid is presented that eliminates the global displacement, resulting in the velocity being the only global solid variable. This necessitates a change to the solid-mesh displacement coupling, which is accounted for by coupling the local solid displacement to the global mesh displacement. Additionally, the mesh basis and test functions are restricted to linear polynomials, rather than being equal-order with the fluid and solid. This change increases the computational efficiency dynamically, with greater benefit the higher order the computation, when compared to an equal-order formulation. These two improvements result in a 50% reduction in the number of global degrees of freedom for high-order simulations for both the fluid and solid domains, as well as an approximately 50% reduction in the number of local fluid domain degrees of freedom for high-order simulations. Finally, the new, more efficient formulation is compared against that from Sheldon et al. and negligible change of accuracy is found.

More Details

Overset meshing coupled with hybridizable discontinuous Galerkin finite elements

International Journal for Numerical Methods in Engineering

Kauffman, Justin A.; Sheldon, Jason P.; Miller, Scott T.

We introduce the use of hybridizable discontinuous Galerkin (HDG) finite element methods on overlapping (overset) meshes. Overset mesh methods are advantageous for solving problems on complex geometrical domains. We combine geometric flexibility of overset methods with the advantages of HDG methods: arbitrarily high-order accuracy, reduced size of the global discrete problem, and the ability to solve elliptic, parabolic, and/or hyperbolic problems with a unified form of discretization. Our approach to developing the ‘overset HDG’ method is to couple the global solution from one mesh to the local solution on the overset mesh. We present numerical examples for steady convection–diffusion and static elasticity problems. The examples demonstrate optimal order convergence in all primal fields for an arbitrary amount of overlap of the underlying meshes. Copyright © 2017 John Wiley & Sons, Ltd.

More Details

An arbitrary Lagrangian–Eulerian finite element formulation for a poroelasticity problem stemming from mixture theory

Computer Methods in Applied Mechanics and Engineering

Costanzo, Francesco; Miller, Scott T.

A finite element formulation is developed for a poroelastic medium consisting of an incompressible hyperelastic skeleton saturated by an incompressible fluid. The governing equations stem from mixture theory and the application is motivated by the study of interstitial fluid flow in brain tissue. The formulation is based on the adoption of an arbitrary Lagrangian–Eulerian (ALE) perspective. We focus on a flow regime in which inertia forces are negligible. The stability and convergence of the formulation is discussed, and numerical results demonstrate agreement with the theory.

More Details

A hybridizable discontinuous Galerkin method for modeling fluid–structure interaction

Journal of Computational Physics

Sheldon, Jason P.; Miller, Scott T.; Pitt, Jonathan S.

This work presents a novel application of the hybridizable discontinuous Galerkin (HDG) finite element method to the multi-physics simulation of coupled fluid–structure interaction (FSI) problems. Recent applications of the HDG method have primarily been for single-physics problems including both solids and fluids, which are necessary building blocks for FSI modeling. Utilizing these established models, HDG formulations for linear elastostatics, a nonlinear elastodynamic model, and arbitrary Lagrangian–Eulerian Navier–Stokes are derived. The elasticity formulations are written in a Lagrangian reference frame, with the nonlinear formulation restricted to hyperelastic materials. With these individual solid and fluid formulations, the remaining challenge in FSI modeling is coupling together their disparate mathematics on the fluid–solid interface. This coupling is presented, along with the resultant HDG FSI formulation. Verification of the component models, through the method of manufactured solutions, is performed and each model is shown to converge at the expected rate. The individual components, along with the complete FSI model, are then compared to the benchmark problems proposed by Turek and Hron [1]. The solutions from the HDG formulation presented in this work trend towards the benchmark as the spatial polynomial order and the temporal order of integration are increased.

More Details
78 Results
78 Results