Polyconvex function

id: polyconvex-function-164-12036956
title: Polyconvex function
text: In the calculus of variations, the notion of polyconvexity is a generalization of the notion of convexity for functions defined on spaces of matrices. The notion of polyconvexity was introduced by John M. Ball as a sufficient conditions for proving the existence of energy minimizers in nonlinear elasticity theory. It is satisfied by a large class of hyperelastic stored energy densities, such as Mooney-Rivlin and Ogden materials. The notion of polyconvexity is related to the notions of convexity,
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Polyconvex_function
date created: 2007-06-22T23:32:03Z
date modified: 2024-08-29T01:19:00Z
main entity: {"identifier":"Q7226241","url":"https://www.wikidata.org/entity/Q7226241"}
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fields total: 13
integrity: 14

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