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Energy theorems and deformation bounds for constitutive relations associated with creep and plastic deformation of metals

Authors
Journal
Journal of the Mechanics and Physics of Solids
0022-5096
Publisher
Elsevier
Publication Date
Volume
17
Issue
6
Identifiers
DOI: 10.1016/0022-5096(69)90005-2
Disciplines
  • Mathematics

Abstract

Abstract A general energy principle, applicable to a wide range of both time dependent and time independent materials is particularized to a range of constitutive relations which describe the creep and plastic behaviour of metals. When applied to the study of the deformation of a body subject to dead loading, bounds are obtained on the total deformation of the body. The techniques provides a useful direct means of deriving energy theorems for a wide range of constitutive relationships.

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