Total-FETI domain decomposition method for solution of elasto-plastic problems. (June 2015)

• Record Type: Journal Article
• Authors: Čermák, Martin; Hapla, Václav; Horák, David; Merta, Michal; Markopoulos, Alexandros
• Is Part Of: Advances in engineering software. Volume 84(2015)
• Page Start: 48
• Page End: 54
• Publication Date: 2015-06
• Subjects: Total-FETI -- Elasto-plasticity -- Kinematic hardening -- PETSc -- FLLOP -- Domain decomposition -- Parallel direct solver -- Natural coarse space matrix -- Coarse problem; Computer-aided engineering -- Periodicals; Engineering -- Computer programs -- Periodicals; Engineering -- Software -- Periodicals; Periodicals; 620.0028553
• DOI: 10.1016/j.advengsoft.2014.12.011
• Languages: English
• ISSNs: 0965-9978

Abstract

Abstract: In this paper we present an algorithm for the parallel solution of the rate-independent elasto-plastic problems with kinematic hardening. We assume the von Mises plastic criterion and the associated plastic flow rule. The time discretization is based on the implicit Euler method. The corresponding one-time-step problem is formulated in the incremental form with respect to the unknown displacement and discretized spatially by the finite element method. We use an 'external' algorithm based on a linearization of the elasto-plastic stress–strain relation by the corresponding tangential operator and we parallelize the arising linearized problem by the Total-FETI method. The numerical experiments were carried out using our novel C/C++ library FLLOP (FETI Light Layer On top of PETSc) at HECToR supercomputer located at EPCC, UK.