On the planar rank-one convexity condition

DOI10.1017/S030821050002802XzbMath0841.49008OpenAlexW1973385242MaRDI QIDQ4839287

Parry, Gareth P.

Publication date: 16 July 1996

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030821050002802x

zbMATH Keywords

quasi-convexityrank-one convexity

Mathematics Subject Classification ID

Nonsmooth analysis (49J52)

Related Items (9)

A rank-one convex, nonpolyconvex isotropic function on with compact connected sublevel sets ⋮ Numerical approaches for investigating quasiconvexity in the context of Morrey's conjecture ⋮ Morrey's conjecture for the planar volumetric-isochoric split: least rank-one convex energy functions ⋮ On the condition of tetrahedral polyconvexity, arising from calculus of variations ⋮ Ten remarks on nonconvex minimisation for phase transition simulations ⋮ Sharp rank-one convexity conditions in planar isotropic elasticity for the additive volumetric-isochoric split ⋮ Numerical study of microstructures in single-slip finite elastoplasticity ⋮ On the non-locality of quasiconvexity ⋮ New convexity conditions in the calculus of variations and compensated compactness theory

Cites Work

• Convexity conditions and existence theorems in nonlinear elasticity
• Rank-one convexity does not imply quasiconvexity

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