TY - GEN

T1 - Evolution of material symmetry in the elastic response of a fully strain space theory of plasticity

AU - Negahban, Mehrdad

AU - Wineman, Alan S.

PY - 1993

Y1 - 1993

N2 - 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.

AB - 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.

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M3 - Conference contribution

AN - SCOPUS:0027187677

SN - 0791811379

T3 - American Society of Mechanical Engineers, Applied Mechanics Division, AMD

SP - 19

EP - 23

BT - Anisotropy and Inhomogeneity in Elasticity and Plasticity

A2 - Hyer, M.W.

PB - Publ by ASME

T2 - 1st Joint Mechanics Meeting of ASME/ASCE/SES - MEET'N'93

Y2 - 6 June 1993 through 9 June 1993

ER -