Numerical and analytical study of the propagation of thermoelastic waves in a medium with heat-flux relaxation

DOI10.1134/S0021894416030184zbMath1433.74012MaRDI QIDQ2363457

Michail B. Babenkov, Evgeniy Yu. Vitokhin

Publication date: 19 July 2017

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

zbMATH Keywords

finite difference methodheat-flux relaxationMaxwell-Cattaneo lawhyperbolic thermoelastic problem

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15)

Related Items (3)

Influence of boundary conditions on the solution of a hyperbolic thermoelasticity problem ⋮ A comparison of the finite‐difference and finite‐volume methods for a numerical solution of a hyperbolic thermoelasticity problem utilizing the implicit and explicit schemes ⋮ Dispersion relations for the linearized elastic diffusion problem

Cites Work

• Analysis of dispersion relations of a coupled thermoelasticity problem with regard to heat flux relaxation
• Propagation of harmonic perturbations in a thermoelastic medium with heat relaxation
• Derivation of theory of thermoviscoelasticity by means of two-component medium
• Description of mechanism of thermal conduction and internal damping by means of two-component Cosserat continuum
• A generalized dynamical theory of thermoelasticity
• Analysis of the wave propagation processes in heat transfer problems of the hyperbolic type
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