Discontinuous Galerkin finite element methods for gradient plasticity.

Garikipati, Krishna. (University of Michigan, Ann Arbor, MI) ; Ostien, Jakob T.

关键词: CRYSTAL LATTICES;    DISLOCATIONS;    FINITE ELEMENT METHOD;    PLASTICITY;    MATHEMATICAL MODELS;   

DOI  :  10.2172/1008112
RP-ID  :  SAND2010-6918
PID  :  OSTI ID: 1008112
Others  :  TRN: US201108%%10

美国|英语

来源: SciTech Connect

【 摘 要 】

In this report we apply discontinuous Galerkin finite element methods to the equations of an incompatibility based formulation of gradient plasticity. The presentation is motivated with a brief overview of the description of dislocations within a crystal lattice. A tensor representing a measure of the incompatibility with the lattice is used in the formulation of a gradient plasticity model. This model is cast in a variational formulation, and discontinuous Galerkin machinery is employed to implement the formulation into a finite element code. Finally numerical examples of the model are shown.