The uniqueness and reciprocity theorems for generalized thermo-viscoelasticity with two relaxation times

DOI10.1016/S0020-7225(01)00099-4zbMath1211.74067MaRDI QIDQ532865

Ahmed S. El-Karamany, Magdy A. Ezzat

Publication date: 6 May 2011

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

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Linear constitutive equations for materials with memory (74D05)

Related Items (13)

Electro-thermoelasticity theory with memory-dependent derivative heat transfer ⋮ Thermodiffusion with two time delays and Kernel functions ⋮ Thermo-viscoelastic analysis of biological tissue during hyperthermia treatment ⋮ Fractional order theory in thermoelastic solid with three-phase lag heat transfer ⋮ Wave propagation at the boundary surface of elastic and initially stressed viscothermoelastic diffusion with voids media ⋮ 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 ⋮ Fractional order thermo-viscoelastic theory of biological tissue with dual phase lag heat conduction model ⋮ Effects of modified ohm's and Fourier's laws on generalized magneto-viscoelastic thermoelasticity with relaxation volume properties ⋮ Variational principle and time-space finite element method for dynamic thermoelasticity based on mixed convolved action ⋮ Thermo-viscoelastic materials with fractional relaxation operators ⋮ Boundary integral equation formulation for the generalized thermoviscoelasticity with two relaxation times ⋮ Modeling of memory dependent derivative under three-phase lag in generalized thermo-viscoelasticity ⋮ A fractional-order thermoviscoelastic analysis of a micro-rod heated by an ultrashort laser pulse heating

Cites Work

• Quasi-static problem of mechanics in stresses of a deformable solid
• Thermoelasticity
• Fundamental solution in thermoelasticity with two relaxation times for cylindrical regions
• A generalized dynamical theory of thermoelasticity
• The coldness, a universal function in thermoelastic bodies
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