Constitutive equations and quasi-static problem in linear thermoviscoelasticity

DOI10.1016/0020-7225(92)90043-GzbMath0746.73005MaRDI QIDQ1191080

Barbara Lazzari, Elena Vuk

Publication date: 27 September 1992

Published in: International Journal of Engineering Science (Search for Journal in Brave)

zbMATH Keywords

existenceuniqueness of solutionquasi-static problemlinearized theoryClausius propertylinearized statement of second law of thermodynamics

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Linear constitutive equations for materials with memory (74D05) Nonlinear constitutive equations for materials with memory (74D10) Theory of constitutive functions in solid mechanics (74A20)

Related Items (4)

Invariant and partially invariant solutions of integro-differential equations for linear thermoviscoelastic aging materials with memory ⋮ STABILITY OF ABSTRACT LINEAR THERMOELASTIC SYSTEMS WITH MEMORY ⋮ Exponential asymptotic stability for an elliptic equation with memory arising in electrical conduction in biological tissues ⋮ Exponential stability of a linear viscoelastic bar with thermal memory

Cites Work

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• An abstract Volterra equation with applications to linear viscoelasticity
• Time-reversal and the symmetry of the relaxation function of a linear viscoelastic material
• Time-reversal and symmetry in the thermodynamics of materials with memory
• Existence Theorems in Linear and Semi-Linear Elasticity
• An existence and uniqueness theorem in quasi-static viscoelasticity

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