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Total-FETI domain decomposition method for solution of elasto-plastic problems
Affiliation:1. Dep. of Applied Math., VŠB – Technical University of Ostrava, 17. listopadu 15, CZ 70833 Ostrava, Czech Republic;2. IT4Innovations National Supercomputing Center, VŠB – Technical University of Ostrava, 17. listopadu 15, CZ 70833 Ostrava, Czech Republic;3. Faculty of Mechanical Engineering, VSB – Technical University of Ostrava, 17. listopadu 15/2172, Ostrava, Czech Republic;1. State Key Laboratory of Industry Control Technology, College of Control Science & Engineering, Zhejiang University, Hangzhou 310027, China;2. Department of Mathematics, Zhejiang University, Hangzhou 310027, China;1. Department of Engineering Mechanics, School of Aerospace Engineering, Tsinghua University, Beijing 100084, China;2. Zienkiewicz Centre for Computational Engineering & Energy Safety Research Institute, College of Engineering, Swansea University, Swansea SA2 8PP, UK;3. High Performance Computing Center, School of Aerospace Engineering, Tsinghua University, Beijing 100084, China;4. Key Laboratory of Applied Mechanics, School of Aerospace Engineering, Tsinghua University, Beijing 100084, China;5. College of Water Conservancy & Civil Engineering, China Agricultural University, Beijing 100083, China;1. Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia;2. Faculty of Civil Engineering, University of Novi Sad, Subotica, Serbia
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.
Keywords:Total-FETI  Elasto-plasticity  Kinematic hardening  PETSc  FLLOP  Domain decomposition  Parallel direct solver  Natural coarse space matrix  Coarse problem
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