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Rate Type Plastic Material with General Work‐Hardening
Author(s) -
Tokuoka T.
Publication year - 1978
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.19780580102
Subject(s) - von mises yield criterion , bauschinger effect , constitutive equation , yield surface , state variable , mathematics , plasticity , mathematical analysis , isotropy , yield (engineering) , generalization , hardening (computing) , materials science , structural engineering , physics , engineering , thermodynamics , finite element method , layer (electronics) , quantum mechanics , composite material
A rate type plastic material is proposed. A scalar internal variable and a symmetric tensor internal variable are introduced. The constitutive and the evolutional equations are invariant for the change of time‐scale. Two sets of equations are assumed for the loading and the unloading state. Three material functions which define equations in the loading state are assumed to depend on the translated stress, to be pressure insensitive, and to have some symmetricities which imply no Bauschinger effect with respect to the translated stress. Three constant material functions are assumed in the unloading state. The yield criterion and the flow rule which are defined by the rate type constitutive equation may show the kinematic as well as the isotropic workhardening. Two special materials are presented, one has a generalized Huber‐von Mises yield criterion and the other has a generalized Tresca yield criterion. They are a generalization of the materials proposed by the author in the preceding paper.