Projection scheme for the Perfect Plasticity Model with Time-Dependent Thresholds

Kazunori Matsui @ Tokyo University of Marine Science and Technology

Last month, our paper 'Projection scheme for a perfect plasticity model with a time-dependent constraint set', which forms the basis of the poster, was accepted for publication in Journal of Mathematical Analysis and Applications. 

Abstract

• This poster proposes a numerical scheme for evolution inclusions involving the perfect plasticity model with a time-dependent threshold function. 

  • • The proposed scheme projects the stress within constraints after solving the linear elliptic PDE at each step, 

    • avoiding the need to solve nonlinear problems. 

• We derive the existence of an exact solution to the original problem using a stability of the scheme.

  • • The major points are that 

      • we weakened the spatial continuity of the threshold function to L2(Ω) and 

      • showed that the threshold function does not need to have a positive lower bound.