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

Autor: Martin Cermak, Tomas Kozubek
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Zdroj: Advances in Electrical and Electronic Engineering, Vol 10, Iss 1, Pp 57-62 (2012)
Druh dokumentu: article
ISSN: 1336-1376
1804-3119
DOI: 10.15598/aeee.v10i1.558
Popis: 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.
Databáze: Directory of Open Access Journals