Advances in Electrical and Electronic Engineering (Jan 2012)

An Efficient TFETI Based Solver for Elasto-Plastic Problems of Mechanics

  • Martin Cermak,
  • Tomas Kozubek

DOI
https://doi.org/10.15598/aeee.v10i1.558
Journal volume & issue
Vol. 10, no. 1
pp. 57 – 62

Abstract

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This paper illustrates how to implement effectively solvers for elasto-plastic problems. We consider the time step problems formulated by nonlinear variational equations in terms of displacements. To treat nonlinearity and nonsmoothnes we use semismooth Newton method. In each Newton iteration we have to solve linear system of algebraic equations and for its numerical solution we use TFETI algorithm. In our benchmark we demonstrate our approach on von Mises plasticity with isotropic hardening and use return mapping concept.

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