Characterization of convex isotropic functions

DOI10.1023/A:1007468902439zbMath0906.73018OpenAlexW102626096MaRDI QIDQ1264536

Phoebus Rosakis

Publication date: 2 December 1998

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1007468902439

zbMATH Keywords

constitutive inequalitiesBall's convexity conditionsnecessary and sufficient conditions for convexitypolyconvexity conditions for stored energy functionscalar-valued function of tensors

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Convexity of real functions of several variables, generalizations (26B25) Theory of constitutive functions in solid mechanics (74A20)

Related Items (11)

Extremal problems involving isotropic sets and functions on spaces of rectangular matrices ⋮ Rank-one convexity implies polyconvexity in isotropic planar incompressible elasticity ⋮ Orbital equations for extremal problems under various invariance assumptions ⋮ The exponentiated Hencky-logarithmic strain energy. I: Constitutive issues and rank-one convexity ⋮ On the stability of incompressible elastic cylinders in uniaxial extension ⋮ Isotropic polyconvex electromagnetoelastic bodies ⋮ The exponentiated Hencky-logarithmic strain energy. II: Coercivity, planar polyconvexity and existence of minimizers ⋮ Convex \(\mathrm{SO}(N) \times \mathrm{SO}(n)\)-invariant functions and refinements of von Neumann's inequality ⋮ Equivalence between rank-one convexity and polyconvexity for some classes of elastic materials ⋮ On Semiconvexity Properties of Rotationally Invariant Functions in Two Dimensions ⋮ Characterizations of symmetric polyconvexity

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