Linear isotropic relations in finite hyperelasticity: some general results

DOI10.1007/S10659-006-9088-7zbMath1106.74015OpenAlexW2079405767MaRDI QIDQ868699

Jeremiah G. Murphy

Publication date: 6 March 2007

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

Full work available at URL: https://doi.org/10.1007/s10659-006-9088-7

zbMATH Keywords

Cauchy stresscompatibility conditionsstrain-energy functionPiola-Kirchhoff stress

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items (6)

Conjugated kinetic and kinematic measures for constitutive modeling of the thermoelastic continua ⋮ Geometry of logarithmic strain measures in solid mechanics ⋮ The exponentiated Hencky-logarithmic strain energy. I: Constitutive issues and rank-one convexity ⋮ Hill's class of compressible elastic materials and finite bending problems: exact solutions in unified form ⋮ A natural generalization of linear isotropic relations with seth-Hill strain tensors to transversely isotropic materials at finite strains ⋮ Objective symmetrically physical strain tensors, conjugate stress tensors, and Hill's linear isotropic hyperelastic material models

Cites Work

• Unnamed Item
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• Linear response in finite elasticity
• Comparison of results from four linear constitutive relations in isotropic finite elasticity
• Linear constitutive relations in isotropic finite elasticity
• Statistical analysis of high-order moments in a turbulent boundary layer with large density gradients
• On H. Hencky’s Approximate Strain-Energy Function for Moderate Deformations
• Plane deformations of elastic solids with intrinsic boundary elasticity
• Constitutive inequalities for an isotropic elastic strain-energy function based on Hencky's logarithmic strain tensor
• Linear stress-strain relations in nonlinear elasticity

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