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Evaluating the Material Point Method in CTH Using the Method of Manufactured Solutions

Ruggirello, Kevin P.; Nishawala, Vinesh N.

The Method of Manufactured Solutions (MMS) is used to evaluate the Material Point Method (MPM) implemented in CTH, i.e. Markers. MMS is a verification approach in which a desired deformation field is prescribed and the required forcing function to achieve the prescribed deformation is determined analytically. The calculated forcing function is applied within CTH markers determine if the correct displacement field is recovered. For the cases examined in this study, a ring is subjected to a finite, angular-independent, spatially varying body force, superposed with a rigid-body rotation. This test will assess the solid mechanics response of the MPM within CTH for large deformation problems.