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An isoperimetric estimate and \(W^{1,p}\)-quasiconvexity in nonlinear elasticity

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Publication:1290385
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DOI10.1007/S005260050121zbMath0929.74013OpenAlexW2016121932MaRDI QIDQ1290385

Sivaloganathan, Jeyabal, Stefan Müller, Spector, Scott J.

Publication date: 20 July 1999

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s005260050121


zbMATH Keywords

stored energy density


Mathematics Subject Classification ID

Nonlinear elasticity (74B20)


Related Items (7)

A simple sufficient condition for the quasiconvexity of elastic stored-energy functions in spaces which allow for cavitation ⋮ Marginal material stability ⋮ On the uniqueness of energy minimizers in finite elasticity ⋮ A Calibration Method for Estimating Critical Cavitation Loads from Below in Three Dimensional Nonlinear Elasticity ⋮ A characterisation of the boundary displacements which induce cavitation in an elastic body ⋮ Energy minimising properties of the radial cavitation solution in incompressible nonlinear elasticity ⋮ On the theory of relaxation in nonlinear elasticity with constraints on the determinant







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