Abstract
General thermodynamic constitutive rate equations are derived for isotropic elastic-plastic bodies, using the concept of multiplicative decomposition of the deformation gradient. It is shown that, for isotropic solids, the tensor of elastic moduli in Eulerian description can be expressed in terms of derivatives of the free energy function as simply as in the case of infinitesimal strains, provided that the logarithmic elastic strain is adopted as a state variable and that the values of ratios of principal elastic stretches belong to the interval (5/6; 7/6). The rate equations in Eulerian description are derived for both rate-dependent and rate-independent solids using systematically the general framework of the theory for nonisotropic materials developed by Mandel. 29 references.
Citation Formats
Raniecki, B, and Nguyen, H V.
Isotropic elastic-plastic solids at finite strain and arbitrary pressure.
Poland: N. p.,
1984.
Web.
Raniecki, B, & Nguyen, H V.
Isotropic elastic-plastic solids at finite strain and arbitrary pressure.
Poland.
Raniecki, B, and Nguyen, H V.
1984.
"Isotropic elastic-plastic solids at finite strain and arbitrary pressure."
Poland.
@misc{etde_5726644,
title = {Isotropic elastic-plastic solids at finite strain and arbitrary pressure}
author = {Raniecki, B, and Nguyen, H V}
abstractNote = {General thermodynamic constitutive rate equations are derived for isotropic elastic-plastic bodies, using the concept of multiplicative decomposition of the deformation gradient. It is shown that, for isotropic solids, the tensor of elastic moduli in Eulerian description can be expressed in terms of derivatives of the free energy function as simply as in the case of infinitesimal strains, provided that the logarithmic elastic strain is adopted as a state variable and that the values of ratios of principal elastic stretches belong to the interval (5/6; 7/6). The rate equations in Eulerian description are derived for both rate-dependent and rate-independent solids using systematically the general framework of the theory for nonisotropic materials developed by Mandel. 29 references.}
journal = []
volume = {36:5-6}
journal type = {AC}
place = {Poland}
year = {1984}
month = {Jan}
}
title = {Isotropic elastic-plastic solids at finite strain and arbitrary pressure}
author = {Raniecki, B, and Nguyen, H V}
abstractNote = {General thermodynamic constitutive rate equations are derived for isotropic elastic-plastic bodies, using the concept of multiplicative decomposition of the deformation gradient. It is shown that, for isotropic solids, the tensor of elastic moduli in Eulerian description can be expressed in terms of derivatives of the free energy function as simply as in the case of infinitesimal strains, provided that the logarithmic elastic strain is adopted as a state variable and that the values of ratios of principal elastic stretches belong to the interval (5/6; 7/6). The rate equations in Eulerian description are derived for both rate-dependent and rate-independent solids using systematically the general framework of the theory for nonisotropic materials developed by Mandel. 29 references.}
journal = []
volume = {36:5-6}
journal type = {AC}
place = {Poland}
year = {1984}
month = {Jan}
}