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Damage model for plastic materials at finite strains
Author(s) -
Melching David,
Scala Riccardo,
Zeman Jan
Publication year - 2019
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.201800032
Subject(s) - quasistatic process , dissipative system , dissipation , isotropy , discretization , finite strain theory , plasticity , deformation (meteorology) , mechanics , strain (injury) , materials science , classical mechanics , physics , structural engineering , finite element method , mathematical analysis , mathematics , composite material , engineering , thermodynamics , medicine , quantum mechanics
We introduce a model for elastoplasticity at finite strains coupled with damage. The internal energy of the deformed elastoplastic body depends on the deformation, the plastic strain, and the unidirectional isotropic damage. The main novelty is a dissipation distance allowing the description of coupled dissipative behavior of damage and plastic strain. Moving from time‐discretization, we prove the existence of energetic solutions to the quasistatic evolution problem.