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Hölder continuity for the displacements in isotropic and kinematic hardening with von Mises yield criterion
Author(s) -
Frehse J.,
Löbach D.
Publication year - 2008
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.200700137
Subject(s) - von mises yield criterion , classification of discontinuities , kinematics , isotropy , mathematics , plasticity , mathematical analysis , yield surface , elasticity (physics) , strain hardening exponent , cauchy stress tensor , geometry , classical mechanics , physics , constitutive equation , quantum mechanics , finite element method , thermodynamics
We consider the regularity of weak solutions to evolution variational inequalities arising from the flow theory of plasticity with isotropic and kinematic hardening. The (linear) elasticity tensor is allowed to have discontinuities. We derive a Morrey condition for the stress velocities and the strains (not the strain velocity!) up to the boundary. In the case of two space dimensions we conclude the Hölder continuity of the displacements.