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Isotropic elastic-plastic solids at finite strain and arbitrary pressure

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.
Publication Date:
Jan 01, 1984
Product Type:
Journal Article
Reference Number:
EDB-86-105626
Resource Relation:
Journal Name: Arch. Mech.; (Poland); Journal Volume: 36:5-6
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; SOLIDS; THERMODYNAMIC PROPERTIES; DIFFERENTIAL EQUATIONS; FREE ENERGY; ISOTROPY; SPECIFIC HEAT; THEORETICAL DATA; THERMAL STRESSES; DATA; ENERGY; EQUATIONS; INFORMATION; NUMERICAL DATA; PHYSICAL PROPERTIES; STRESSES; 656000* - Condensed Matter Physics
OSTI ID:
5726644
Research Organizations:
Instytut Podstawowych Problemow Techniki, Warsaw, Poland; Technical Univ. of Transport, Hanoi, Democratic Republic of Vietnam
Country of Origin:
Poland
Language:
English
Other Identifying Numbers:
Journal ID: CODEN: AVMHB
Submitting Site:
IAA
Size:
Pages: 687-704
Announcement Date:
Dec 01, 1985

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}
}