Evolution of material symmetry in the elastic response of a fully strain space theory of plasticity

Mehrdad Negahban, Alan S. Wineman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations

Abstract

A special theory of elastic-plastic response is considered in which the internal energy density, free energy density, entropy density, and Cauchy stress are taken to be functions of elastic deformation gradient, plastic deformation gradient, and temperature. The minimum symmetries of the elastic response are evaluated. It is shown that the minimum symmetries of the elastic response can be obtained from the material's initial symmetries and the value of the plastic deformation gradient. It is also shown that symmetries of the elastic response can not be reduced by plastic deformation in non-thermodynamic theories which take the stress to only be a function of elastic deformation gradient and temperature, or for thermodynamic theories for which the free energy is assumed to only be a function of elastic deformation gradient and temperature. Therefore, in these special cases, if a material is initially isotropic, its elastic response will remain isotropic; if the material is initially transversely isotropic, its elastic response will remain transversely isotropic; etc.

Original languageEnglish (US)
Title of host publicationAnisotropy and Inhomogeneity in Elasticity and Plasticity
EditorsM.W. Hyer
PublisherPubl by ASME
Pages19-23
Number of pages5
ISBN (Print)0791811379
Publication statusPublished - Jan 1 1993
Event1st Joint Mechanics Meeting of ASME/ASCE/SES - MEET'N'93 - Charlottesville, VA, USA
Duration: Jun 6 1993Jun 9 1993

Publication series

NameAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
Volume158
ISSN (Print)0160-8835

Other

Other1st Joint Mechanics Meeting of ASME/ASCE/SES - MEET'N'93
CityCharlottesville, VA, USA
Period6/6/936/9/93

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ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Negahban, M., & Wineman, A. S. (1993). Evolution of material symmetry in the elastic response of a fully strain space theory of plasticity. In M. W. Hyer (Ed.), Anisotropy and Inhomogeneity in Elasticity and Plasticity (pp. 19-23). (American Society of Mechanical Engineers, Applied Mechanics Division, AMD; Vol. 158). Publ by ASME.