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On the formulation and finite element implementation of anisotropic multiplicative finite strain elastoplasticity
Author(s) -
Eidel B.,
Gruttmann F.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310078
Subject(s) - orthotropic material , isotropy , constitutive equation , finite element method , cauchy elastic material , cauchy stress tensor , finite strain theory , tensor (intrinsic definition) , anisotropy , elasticity (physics) , mathematical analysis , multiplicative function , hyperelastic material , stress (linguistics) , mathematics , structural engineering , geometry , materials science , physics , composite material , engineering , linguistics , philosophy , quantum mechanics
A constitutive model for orthotropic elastoplasticity at finite plastic strains is presented and aspects of its numerical implementation are addressed. The constitutive equations are related to the plastic intermediate configuration, which is introduced by F = F e F p . Isotropic tensor functions are used for the description of orthotropic material response in the elasticity law and the yield function. The latter is formulated in terms of the Mandel stress tensor.