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Title: On the Evolution of Plasticity and Incompatibility

Abstract

The phenomenological theory of elastic-plastic deformations is reconsidered in the light of recent opinion regarding the constitutive character of their constituent elastic and plastic components. The primary role of dissipation in the physics of plastic evolution is emphasized and shown to lead to the clarification of a number of open questions. Particular attention is given to the invariance properties of the elastic and plastic deformations, to the kinematics of discontinuities, and to the role of material symmetry in restricting constitutive equations for elastic response, yield and plastic evolution.

Authors:
; ;
Publication Date:
Research Org.:
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
972839
Report Number(s):
UCRL-JRNL-217526
TRN: US201005%%439
DOE Contract Number:  
W-7405-ENG-48
Resource Type:
Journal Article
Resource Relation:
Journal Name: Mathematics and Mechanics of Solids, vol. 12, no. 6, December 1, 2007, pp. 583-610; Journal Volume: 12; Journal Issue: 6
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 99 GENERAL AND MISCELLANEOUS; PHYSICS; PLASTICITY; PLASTICS; SYMMETRY

Citation Formats

Gupta, A, Steigmann, D J, and St?lken, J S. On the Evolution of Plasticity and Incompatibility. United States: N. p., 2005. Web.
Gupta, A, Steigmann, D J, & St?lken, J S. On the Evolution of Plasticity and Incompatibility. United States.
Gupta, A, Steigmann, D J, and St?lken, J S. Wed . "On the Evolution of Plasticity and Incompatibility". United States. doi:. https://www.osti.gov/servlets/purl/972839.
@article{osti_972839,
title = {On the Evolution of Plasticity and Incompatibility},
author = {Gupta, A and Steigmann, D J and St?lken, J S},
abstractNote = {The phenomenological theory of elastic-plastic deformations is reconsidered in the light of recent opinion regarding the constitutive character of their constituent elastic and plastic components. The primary role of dissipation in the physics of plastic evolution is emphasized and shown to lead to the clarification of a number of open questions. Particular attention is given to the invariance properties of the elastic and plastic deformations, to the kinematics of discontinuities, and to the role of material symmetry in restricting constitutive equations for elastic response, yield and plastic evolution.},
doi = {},
journal = {Mathematics and Mechanics of Solids, vol. 12, no. 6, December 1, 2007, pp. 583-610},
number = 6,
volume = 12,
place = {United States},
year = {Wed Nov 23 00:00:00 EST 2005},
month = {Wed Nov 23 00:00:00 EST 2005}
}