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The application of multigrid methods to plasticity at finite strains
Author(s) -
Wieners C.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200108115142
Subject(s) - multigrid method , plasticity , solver , prandtl number , mathematics , space (punctuation) , computer science , scale (ratio) , mathematical optimization , physics , mathematical analysis , mechanics , partial differential equation , heat transfer , thermodynamics , quantum mechanics , operating system
We present a general method for the formulation of incremental plasticity at finite strains and the combination with multigrid methods. Therefore, the algorithms analyzed in ]5[, ]6[ for Prandtl‐Reuß‐plasticity are transfered to nonconvex energy functionals. The efficiency of the multigrid solver is demonstrated on a large scale numerical example in three space dimensions.