Multi-yield elastoplastic continuum - modeling and computations
نویسندگان
چکیده
The quasi-static evolution of an elastoplastic body with a multi-surface constitutive law of linear kinematic hardening type allows the modeling of curved stress-strain relations. It generalises classical small-strain elastoplasticity from one to various plastic phases. Firstly, we briefly recall a mathematical model represented by an initial-boundary value problem in the form a variational inequality. Then, the main concern of this paper is focused on an efficient numerical implementation of a one time-step problem. Based on the minimisation problem we describe an iterative non-linear algorithm whose linear subsystems are solved by a geometrical multigrid method. Finally, the numerical computations in 2D and 3D are presented.
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