Equivalence between rank-one convexity and polyconvexity for isotropic sets of \({\mathbb R}^{2{\times}2}\). II
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Publication:1612630
DOI10.1016/S0362-546X(01)00808-2zbMath1004.49008OpenAlexW3029250936MaRDI QIDQ1612630
Rabah Tahraoui, Pierre Cardaliaguet
Publication date: 25 August 2002
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00808-2
Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items (4)
Equivalence between rank-one convexity and polyconvexity for isotropic sets of \({\mathbb R}^{2{\times}2}\). I ⋮ 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 \(\mathbb M^{2\times 2}\)
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