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Sierra/SD - Theory Manual (V.5.10)

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

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.

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Sierra/SD - User's Manual - 5.10

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

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.

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Sierra/SD - How To Manual - 5.10

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Joshi, Sidharth S.; Beale, Dagny; Chen, Mark J.; Pepe, Justin P.

The How To Manual supplements the User’s Manual and the Theory Manual. The goal of the How To Manual is to reduce learning time for complex end to end analyses. These documents are intended to be used together. See the User’s Manual for a complete list of the options for a solution case. All the examples are part of the Sierra/SD test suite. Each runs as is. The organization is similar to the other documents: How to run, Commands, Solution cases, Materials, Elements, Boundary conditions, and then Contact. The table of contents and index are indispensable. The Geometric Rigid Body Modes section is shared with the Users Manual.

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Sierra/SD: Verification Test Manual - 5.10

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

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.

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Sierra/SD - Theory Manual - 5.8

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

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. This page intentionally left blank.

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Sierra/SD - User's Manual - 5.8

Beale, Dagny; Bunting, Gregory B.; Chen, Mark J.; Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Joshi, Sidharth S.; Lindsay, Payton L.; Plews, Julia A.; Stevens, B.L.; Vo, Johnathan V.

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.

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Sierra/SD - How To Manual - 5.8

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

The How To Manual supplements the User’s Manual and the Theory Manual. The goal of the How To Manual is to reduce learning time for complex end to end analyses. These documents are intended to be used together. See the User’s Manual for a complete list of the options for a solution case. All the examples are part of the Sierra/SD test suite. Each runs as is. The organization is similar to the other documents: How to run, Commands, Solution cases, Materials, Elements, Boundary conditions, and then Contact. The table of contents and index are indispensable. The Geometric Rigid Body Modes section is shared with the Users Manual.

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Sierra/SD - Verification Test Manual - 5.8

Beale, Dagny; Bunting, Gregory B.; Chen, Mark J.; Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Joshi, Sidharth S.; Lindsay, Payton L.; Plews, Julia A.; Stevens, B.L.; Vo, Johnathan V.

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.

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Sierra/SD - User's Manual - 5.6

Beale, Dagny; Bunting, Gregory B.; Chen, Mark J.; Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Joshi, Sidharth S.; Lindsay, Payton L.; Plews, Julia A.; Stevens, B.L.; Vo, Johnathan V.

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.

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Sierra/SD - Verification Test Manual - 5.6

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

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.

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Sierra/SD - Theory Manual - 5.6

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

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.

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Sierra/SD - How To Manual - 5.6

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

The How To Manual supplements the User’s Manual and the Theory Manual. The goal of the How To Manual is to reduce learning time for complex end to end analyses. These documents are intended to be used together. See the User’s Manual for a complete list of the options for a solution case. All the examples are part of the Sierra/SD test suite. Each runs as is. The organization is similar to the other documents: How to run, Commands, Solution cases, Materials, Elements, Boundary conditions, and then Contact. The table of contents and index are indispensable. The Geometric Rigid Body Modes section is shared with the Users Manual.

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Sierra/SD - Verification Test Manual - 5.4

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

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.

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Sierra/SD - User's Manual - 5.4

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

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 - 5.4

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

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.

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Sierra/SD - How To Manual - 5.4

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Plews, Julia A.; Vo, Johnathan V.; Bunting, Gregory B.; Walsh, Timothy W.; Joshi, Sidharth S.

The How To Manual supplements the User’s Manual and the Theory Manual. The goal of the How To Manual is to reduce learning time for complex end to end analyses. These documents are intended to be used together. See the User’s Manual for a complete list of the options for a solution case. All the examples are part of the Sierra/SD test suite. Each runs as is. The organization is similar to the other documents: How to run, Commands, Solution cases, Materials, Elements, Boundary conditions, and then Contact. The table of contents and index are indispensable. The Geometric Rigid Body Modes section is shared with the Users Manual.

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Sierra/SD - User's Manual (V.5.2)

Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Stevens, B.L.; Lindsay, Payton L.; Hardesty, Sean H.; Vo, Johnathan V.; Bunting, Gregory B.; 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.

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Sierra/SD - Theory Manual - 5.2

Stevens, B.L.; Crane, Nathan K.; Lindsay, Payton L.; Day, David M.; Walsh, Timothy W.; Dohrmann, Clark R.; Hardesty, Sean H.; Bunting, Gregory B.; Smith, Chandler B.

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.

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Sierra/SD - How To Manual - 5.2

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

The How To Manual supplements the User’s Manual and the Theory Manual. The goal of the How To Manual is to reduce learning time for complex end to end analyses. These documents are intended to be used together. See the User’s Manual for a complete list of the options for a solution case. All the examples are part of the Sierra/SD test suite. Each runs as is. The organization is similar to the other documents: How to run, Commands, Solution cases, Materials, Elements, Boundary conditions, and then Contact. The table of contents and index are indispensable. The Geometric Rigid Body Modes section is shared with the Users Manual.

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Sierra/SD - Verification Test Manual - 5.2

Stevens, B.L.; Crane, Nathan K.; Lindsay, Payton L.; Day, David M.; Dohrmann, Clark R.; Hardesty, Sean H.; Bunting, Gregory B.; Walsh, Timothy W.; Smith, Chandler B.

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.

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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.

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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.

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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.

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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.

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Sierra/SD--User's Manual - 4.58

Bunting, Gregory B.; Chen, Mark J.; Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Hardesty, Sean H.; Lindsay, Payton L.; Stevens, B.L.; Flicek, Robert C.; Munday, Lynn B.

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.

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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.

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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.

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Sierra/SD - Theory Manual - 4.56

Bunting, Gregory B.; Crane, Nathan K.; Day, David M.; Dohrmann, Clark R.; Flicek, Robert C.; Hardesty, Sean H.; Lindsay, Payton L.; Stevens, B.L.

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 Sierra/SD, User's Notes. 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.

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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.

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Enabling fast, stable and accurate peridynamic computations using multi-time-step integration

Computer Methods in Applied Mechanics and Engineering

Lindsay, Payton L.; Parks, Michael L.; Prakash, A.

Peridynamics is a nonlocal extension of classical continuum mechanics that is well-suited for solving problems with discontinuities such as cracks. This paper extends the peridynamic formulation to decompose a problem domain into a number of smaller overlapping subdomains and to enable the use of different time steps in different subdomains. This approach allows regions of interest to be isolated and solved at a small time step for increased accuracy while the rest of the problem domain can be solved at a larger time step for greater computational efficiency. Performance of the proposed method in terms of stability, accuracy, and computational cost is examined and several numerical examples are presented to corroborate the findings.

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39 Results
39 Results