The Treloar-Kearsley bifurcation problem using a new class of constitutive equations

DOI10.1007/S00033-024-02340-6MaRDI QIDQ6634269

K. R. Rajagopal, R. Bustamante, Alan S. Wineman

Publication date: 7 November 2024

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

nonlinear elasticityisotropyincompressibilityGibbs potentialbiaxial extensionbifurcation condition

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60) Theory of constitutive functions in solid mechanics (74A20)

Cites Work

• On a new class of models in elasticity
• Representations for implicit constitutive relations describing non-dissipative response of isotropic materials
• On implicit constitutive theories.
• The elasticity of elasticity
• A Gibbs-potential-based formulation for obtaining the response functions for a class of viscoelastic materials
• A Review of Implicit Constitutive Theories to Describe the Response of Elastic Bodies
• A Note on Plane Strain and Plane Stress Problems for a New Class of Elastic Bodies
• The Treloar–Kearsley problem for elastomeric materials undergoing time-dependent microstructural evolution: Branching of extensional creep histories
• On the response of non-dissipative solids
• A Simple Model of the Treloar—Kearsley Instability

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