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CALCULATION OF HYPERELASTIC RESPONSE OF FINITELY DEFORMED ELASTIC‐VISCOPLASTIC MATERIALS
Author(s) -
RUBIN M. B.,
ATTIA A.
Publication year - 1996
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19960130)39:2<309::aid-nme858>3.0.co;2-b
Subject(s) - hyperelastic material , viscoplasticity , isotropy , cauchy elastic material , constitutive equation , plasticity , deformation (meteorology) , context (archaeology) , finite strain theory , mathematical analysis , mathematics , mechanics , classical mechanics , finite element method , materials science , structural engineering , physics , engineering , composite material , geology , paleontology , quantum mechanics
The objective of this paper is to present a numerical algorithm for calculating hyperelastic constitutive equations characterizing the thermomechanical response of elastically isotropic elastic‐viscoplastic materials. The algorithm is developed within the context of an alternative formulation of plasticity in which elastic distortional deformation is determined directly by integrating an evolution equation which includes the current velocity gradient and quantities that depend only on the present state of the material. Consequently, the formulation is independent of the particular choice of a measure of plastic deformation, the reference configuration, and the total deformation gradient from the reference configuration. These features allow the constitutive equations to be easily implemented into computer codes which currently use a hypoelastic formulation for calculating plasticity.