A Simple Model of the Treloar—Kearsley Instability

DOI10.1177/1081286506066090zbMath1133.74017OpenAlexW2048851698MaRDI QIDQ5457289

David J. Steigmann

Publication date: 14 April 2008

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286506066090

zbMATH Keywords

bifurcationstrain-energy functionmembrane theory

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Membranes (74K15)

Related Items (4)

Axisymmetric necking versus Treloar–Kearsley instability in a hyperelastic sheet under equibiaxial stretching ⋮ On the relative energies of the Rivlin and cavitation instabilities for compressible materials ⋮ Branching of stretch histories in biaxially loaded nonlinear viscoelastic fiber-reinforced sheets ⋮ The Treloar–Kearsley problem for elastomeric materials undergoing time-dependent microstructural evolution: Branching of extensional creep histories

Cites Work

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• Two instructive instabilites in non-linear elasticity: Biaxially loaded membrane, and rubber balloons
• Stability of homogeneous deformation of an incompressible elastic body under dead-load surface tractions
• Cavitation in elastic membranes - an example
• ENERGY-MINIMAL FINITE DEFORMATIONS OF A SYMMETRICALLY LOADED ELASTIC SHEET
• Treloar's Biaxial Tests and Kearsley's Bifurcation in Rubber Sheets
• Direct methods in the calculus of variations
• BIFURCATION AND STABILITY OF AN INCOMPRESSIBLE ELASTIC BODY UNDER HOMOGENEOUS DEAD LOADS WITH SYMMETRY

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