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H 1 loc ‐stress and strain regularity in Cosserat plasticity
Author(s) -
Chełmiński K.,
Neff P.
Publication year - 2009
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.200800123
Subject(s) - plasticity , infinitesimal , infinitesimal strain theory , cauchy stress tensor , tensor (intrinsic definition) , monotone polygon , mathematics , strain (injury) , viscous stress tensor , mathematical analysis , stress (linguistics) , cauchy distribution , pure mathematics , physics , geometry , thermodynamics , philosophy , finite element method , medicine , linguistics
We show H 1 loc ‐regularity of the Cauchy stress tensor and H 1 loc ‐regularity of the infinitesimal strain tensor and the plastic strain tensor in infinitesimal Cosserat plasticity with monotone flow rule. We use energy estimates for difference quotients.