On the stability of thermoelastic materials

DOI10.1023/A:1007513631783zbMath0952.74010OpenAlexW1851756443MaRDI QIDQ1976114

James K. Knowles, Rohan C. Abeyaratne

Publication date: 11 January 2001

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

Full work available at URL: https://doi.org/10.1023/a:1007513631783

zbMATH Keywords

heat conductionstrong ellipticitynonlinear thermoelasticitymaterial stabilityadiabatic theorynecessary and sufficient conditions for stability

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05)

Related Items (5)

On the Thermodynamic Stability of Elastic Heat-Conducting Solids Subject to a Deformation—Temperature Constraint ⋮ Effects of temperature and thermo-mechanical couplings on material instabilities and strain localization of inelastic materials ⋮ On the propagation of weak shock waves in compressible thermohyperelastic solids ⋮ Stability of active muscle tissue ⋮ Entropic thermoelasticity of thin polymeric films

Cites Work

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• Finite deformation by mechanical twinning
• On the failure of ellipticity and the emergence of discontinuous deformation gradients in plane finite elastostatics
• The morphology and stability of material phases
• On the existence and the asymptotic stability of solutions to the equations of linear thermoelasticity
• On the thermostatics of continuous media

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