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Laminates and microstructure

Published online by Cambridge University Press:  26 September 2008

Pablo Pedregal
Pablo Pedregal
Affiliation:
Departamento de Matemática Aplicada, Universidad Complutense de Madrid, 28040 Madrid, Spain
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Abstract

This paper deals with the mathematical characterization of microstructure in elastic solids. We formulate our ideas in terms of rank-one convexity and identify the set of probability measures for which Jensen's inequality for this type of functions holds. This is the set of laminates. We also introduce generalized convex hulls of sets of matrices and investigate their structure.

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Type
Research Article
Information
European Journal of Applied Mathematics , Volume 4 , Issue 2 , June 1993, pp. 121 - 149
Copyright
Copyright © Cambridge University Press 1993

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