Title
Quasi-static Evolution in Nonassociative Plasticity: The Cap Model.
Abstract
Nonassociative elasto-plasticity is the working model of plasticity for soil and rock mechanics. Yet, it is usually viewed as nonvariational. In this work, we prove a contrario the existence of a variational evolution for such a model under a natural capping assumption on the hydrostatic stresses and a less natural mollification of the stress admissibility constraint. The obtained elasto-plastic evolution is expressed for times that are conveniently rescaled.
Year
DOI
Venue
2012
10.1137/110823511
SIAM JOURNAL ON MATHEMATICAL ANALYSIS
Keywords
Field
DocType
elasto-plasticity,functions of bounded deformation,calculus of variations,quasistatic evolution,Radon measures,duality,convex analysis
Associative property,Hydrostatic equilibrium,Mathematical analysis,Quasistatic process,Calculus of variations,Duality (optimization),Mathematics,Convex analysis,Plasticity
Journal
Volume
Issue
ISSN
44
1
0036-1410
Citations 
PageRank 
References 
0
0.34
2
Authors
3
Name
Order
Citations
PageRank
Jean-François Babadjian121.49
Gilles A. Francfort220.96
Maria Giovanna Mora383.09