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Classes of Anisotropic Finite Plasticity Models and their Implementation in a Brick‐Type Shell Element
Author(s) -
Apel N.,
Miehe C.
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310075
Subject(s) - plasticity , finite element method , finite strain theory , deformation (meteorology) , shell (structure) , type (biology) , logarithm , multiplicative function , metric (unit) , anisotropy , constitutive equation , decomposition , mathematics , materials science , structural engineering , mathematical analysis , composite material , engineering , geology , physics , quantum mechanics , biology , paleontology , ecology , operations management
We discuss two constitutive models formulated in terms of logarithmic strains suitable for the description of elastoplastic material response. We consider two different approaches to the definition of the plastic deformation. The first is based on the introduction of a plastic map yielding a multiplicative decomposition of the deformation gradient into an elastic and plastic part. The second one uses an additive decomposition of the current metric. A quantitative analysis of both approaches by means of numerical examples of sheet metal forming processes are presented.