Homogeneous equilibrium configurations of a hyperelastic compressible cube under equitriaxial dead-load tractions

DOI10.1007/s10659-008-9160-6zbMath1179.74012OpenAlexW2092668499MaRDI QIDQ1024798

Tarantino, Angelo Marcello

Publication date: 17 June 2009

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

Full work available at URL: https://doi.org/10.1007/s10659-008-9160-6

zbMATH Keywords

stabilitybifurcationnon-uniquenessstrain-energy function

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) Multiplicity of solutions of equilibrium problems in solid mechanics (74G35)

Related Items (10)

Equilibrium paths for von Mises trusses in finite elasticity ⋮ Conditions for the onset of elastic and material instabilities in hyperelastic materials ⋮ Equilibrium paths of a hyperelastic body under progressive damage ⋮ Equilibrium paths of a three-bar truss in finite elasticity with an application to graphene ⋮ On the relative energies of the Rivlin and cavitation instabilities for compressible materials ⋮ A nonlinear molecular mechanics model for graphene subjected to large in-plane deformations ⋮ Equilibrium and stability of anisotropic hyperelastic graphene membranes ⋮ Likely equilibria of the stochastic Rivlin cube ⋮ The bending of fully nonlinear beams. Theoretical, numerical and experimental analyses ⋮ Equilibrium configurations and stability of a damaged body under uniaxial tractions

Cites Work

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• Stability of homogeneous deformation of an incompressible elastic body under dead-load surface tractions
• Convexity conditions and existence theorems in nonlinear elasticity
• Differentiability properties of isotropic functions
• Stability of homogeneous deformations in nonlinear elasticity
• Finite homogeneous deformations of symmetrically loaded compressible membranes
• Bifurcation and stability of homogeneous equilibrium configurations of an elastic body under dead-load tractions
• Stability of pure homogeneous deformations of an elastic cube under dead loading
• Large elastic deformations of isotropic materials. I. Fundamental concepts

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