A Material Point Method Formulation for Plasticity

2012/01/13 by B. Banerjee, Banerjee, Biswajit
Engineering · Materials Science · #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Fluid Dynamics Simulations and Interactions #High-Velocity Impact and Material Behavior #Numerical methods in engineering

paper · pdf · doi:10.48550/arxiv.1201.2744

openalex publication_date 2012/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper discusses a general formulation of the material point method in the context of additive decomposition rate-independent plasticity. The process of generating the weak form shows that volume integration over deforming particles can be major source of error in the MPM method. Several useful identities and other results are derived in the appendix.

Citations

• Application of a particle-in-cell method to solid mechanics

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