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Normality Condition in Elasticity

Grabovsky, Y
; 
Truskinovsky, L
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Journal Article
Date
2014-12-01
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Subject
Martensitic
 Phase transitions
 Quasi convexity
 Plasticity
 Normality
 Elastic stability
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http://hdl.handle.net/20.500.12613/5863
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1309.4708v1.pdf
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DOI
10.1007/s00332-014-9213-x
Abstract
© 2014, Springer Science+Business Media New York. Strong local minimizers with surfaces of gradient discontinuity appear in variational problems when the energy density function is not rank-one convex. In this paper we show that the stability of such surfaces is related to the stability outside the surface via a single jump relation that can be regarded as an interchange stability condition. Although this relation appears in the setting of equilibrium elasticity theory, it is remarkably similar to the well-known normality condition that plays a central role in classical plasticity theory.
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Springer Science and Business Media LLC
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Journal of Nonlinear Science
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