Boundary integral equation formulation for the generalized thermoviscoelasticity with two relaxation times

DOI10.1016/S0096-3003(03)00345-XzbMath1066.74523OpenAlexW2068854194MaRDI QIDQ1826651

Ahmed S. El-Karamany, Magdy A. Ezzat

Publication date: 6 August 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00345-x

zbMATH Keywords

Green functionsViscoelasticityFundamental solutionsBoundary integral equation formulationGeneralized thermoelasticityGeneralized thermoviscoelasticity

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Thermal effects in solid mechanics (74F05) Linear constitutive equations for materials with memory (74D05)

Related Items (8)

Boundary integral equation formulation for generalized thermoelastic diffusion -- analytical aspects ⋮ Transient response in a thermoelastic half-space solid due to a laser pulse under three theories with memory-dependent derivative ⋮ Fractional order theory in thermoelastic solid with three-phase lag heat transfer ⋮ Lord-Shulman and Green-Lindsay-based magneto-thermoelasticity of hollow cylinder ⋮ Interactions of a heat source moving over a visco-thermoelastic rod kept in a magnetic field in the Lord-Shulman model under a memory dependent derivative ⋮ Boundary integral equation formulation for coupled thermoelasticity with three phase-lags ⋮ Boundary integral equation formulation for fractional order theory of thermo-viscoelasticity ⋮ Thermo-viscoelastic materials with fractional relaxation operators

Cites Work

• State space approach to two-dimensional generalized thermo-viscoelasticity with two relaxation times
• The uniqueness and reciprocity theorems for generalized thermo-viscoelasticity with two relaxation times
• A method for the numerical inversion of Laplace transforms
• Boundary integral equation method in thermoelasticity. I: General analysis
• The direct boundary integral equation method for the three-dimensional elastodynamic transmission problem
• On the linear theory of viscoelasticity
• Thermoelasticity
• A generalized dynamical theory of thermoelasticity
• The coldness, a universal function in thermoelastic bodies
• The Application of the Stroh Formalism to Prestressed Elastic Media
• ON A GLOBAL ENTROPY PRODUCTION INEQUALITY
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