A note on strong ellipticity in two-dimensional isotropic elasticity

DOI10.1007/s10659-011-9370-1zbMath1255.74005OpenAlexW2128006723MaRDI QIDQ695331

Giuseppe Zurlo, Giuseppe Puglisi, Domenico de Tommasi

Publication date: 21 December 2012

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

Full work available at URL: https://doi.org/10.1007/s10659-011-9370-1

zbMATH Keywords

nonlinear elasticitystrong ellipticityisotropic materialsplane deformations

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Theory of constitutive functions in solid mechanics (74A20) Equilibrium (steady-state) problems in solid mechanics (74G99)

Related Items (6)

An example of a one-parameter family of rank-one convex stored energies for isotropic compressible solids ⋮ Inhomogeneous spherical configurations of inflated membranes ⋮ A thermodynamically compatible splitting procedure in hyperelasticity ⋮ Criterion of hyperbolicity in hyperelasticity in the case of the stored energy in separable form ⋮ Sharp rank-one convexity conditions in planar isotropic elasticity for the additive volumetric-isochoric split ⋮ Stability of classical shock fronts for compressible hyperelastic materials of Hadamard type

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• Damage and healing effects in rubber-like balloons
• Static implications of the strong-ellipticity condition
• A note on uniqueness in linear elastostatics
• Necessary and sufficient conditions for strong ellipticity of isotropic functions in any dimension

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