THE ASYMMETRY OF THE TANGENT STIFFNESS MATRIX IN FINITE ELASTOPLASTICITY

Citation
B. Schieck et H. Stumpf, THE ASYMMETRY OF THE TANGENT STIFFNESS MATRIX IN FINITE ELASTOPLASTICITY, Zeitschrift fur angewandte Mathematik und Mechanik, 77, 1997, pp. 297-298
Citations number
2
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
ISSN journal
00442267
Volume
77
Year of publication
1997
Supplement
1
Pages
297 - 298
Database
ISI
SICI code
0044-2267(1997)77:<297:TAOTTS>2.0.ZU;2-S
Abstract
It will be shown that for consistently formulated and thermodynamicall y based models of finite elastoplasticity with plastic anisotropies th e tangent stiffness matrix in finite element programs is non-symmetric in general. This will be considered for both, the model using the cor otational rate proposed by Schieck and Stumpf [1] and for models with Lie-derivatives. Only in the limit case of small elastic strains the s kew-symmetric contribution vanishes.