Equivalence between rank-one convexity and polyconvexity for isotropic sets of \({\mathbb R}^{2{\times}2}\). I
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Publication:1612629
DOI10.1016/S0362-546X(01)00807-0zbMath1004.49007MaRDI QIDQ1612629
Pierre Cardaliaguet, Rabah Tahraoui
Publication date: 25 August 2002
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45)
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Equivalence between rank-one convexity and polyconvexity for isotropic sets of \({\mathbb R}^{2{\times}2}\). II, Automatic quasiconvexity of homogeneous isotropic rank-one convex integrands, A rank-one convex, nonpolyconvex isotropic function on with compact connected sublevel sets, Polyconvexity equals rank-one convexity for connected isotropic sets in \(\mathbb M^{2\times 2}\), A differential inclusion: the case of an isotropic set
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