Discontinuous Galerkin finite element methods for gradient plasticity.

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

Sandia National Laboratories

关键词: Plasticity;    36 Materials Science;    Dislocations;    Mathematical Models;    97 Mathematical Methods And Computing;   

DOI  :  10.2172/1008112
RP-ID  :  SAND2010-6918
RP-ID  :  AC04-94AL85000
RP-ID  :  1008112

美国|英语

来源: UNT Digital Library

【 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.