A variational discrete element method for quasistatic and dynamic elastoplasticity. (22nd July 2020)

• Record Type: Journal Article
• Authors: Marazzato, Frédéric; Ern, Alexandre; Monasse, Laurent
• Other Names: Giacomini Matteo guestEditor.; Veroy Karen guestEditor.; Díez Pedro guestEditor.
• Is Part Of: International journal for numerical methods in engineering. Volume 121:Number 23(2020)
• Page Start: 5295
• Page End: 5319
• Publication Date: 2020-07-22
• Subjects: discrete element method -- nonlinear dynamics -- plasticity -- solids -- time integration -- explicit; Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.6460
• Languages: English
• ISSNs: 0029-5981

Abstract

Summary: We propose a new discrete element method supporting general polyhedral meshes. The method can be understood as a lowest‐order discontinuous Galerkin method parametrized by the continuous mechanical parameters (Young's modulus and Poisson's ratio). We consider quasistatic and dynamic elastoplasticity, and in the latter situation, a pseudoenergy conserving time‐integration method is employed. The computational cost of the time‐stepping method is moderate since it is explicit and used with a naturally diagonal mass matrix. Numerical examples are presented to illustrate the robustness and versatility of the method for quasistatic and dynamic elastoplastic evolutions.