Hyperbolic Thermoelasticity: A Review of Recent Literature

1998/12/01 by D. S. Chandrasekharaiah · 14 citations
Engineering · #Thermoelastic and Magnetoelastic Phenomena #Numerical methods in engineering #Elasticity and Wave Propagation

paper · doi:10.1115/1.3098984

Abstract

This review article is a continuation of a previous article by the author, Thermoelasticity with second sound: A review, which appeared in this journal in March, 1986 (Appl Mech Rev39(3) 355-376). Here, attention is focused on papers published during the past 10-12 years. Contributions to the theory of thermoelasticity with thermal relaxation and the temperature-rate dependent thermoelasticity theory are reviewed. The recently developed theory of thermoelasticity without energy dissipation is described, and its characteristic features highlighted. A glance is made at the new thermoelasticity theory which includes the so-called dual-phase-lag effects. There are 338 references.

Cited by

• The influence of viscous dissipations on the nonlinear acoustic wave equation with second sound
• The elastic wave motions for a photothermal medium of a dual-phase-lag model with an internal heat source and gravitational field
• Advanced Functional Materials
• Maysel's formula in the generalized linear micropolar thermoviscoelasticity
• Thermoelastic Processes by a Continuous Heat Source Line in an Infinite Solid via Moore-Gibson-Thompson Thermoelasticity. [europepmc]
• A novel stochastic photo-thermoelasticity model according to a diffusion interaction processes of excited semiconductor medium. [europepmc]
• Uniqueness of Solutions in Thermopiezoelectricity of Nonsimple Materials. [europepmc]
• Magneto-Thermoelastic Response in an Infinite Medium with a Spherical Hole in the Context of High Order Time-Derivatives and Triple-Phase-Lag Model. [europepmc]
• Refined Dual-Phase-Lag Theory for the 1D Behavior of Skin Tissue under Ramp-Type Heating. [europepmc]
• Porothermoelasticity of thermally shocked asphalt material under a multi-phase lag model. [europepmc]
• Quantization of nonequilibrium heat transport models based on isomorphism and gauge symmetry. [europepmc]
• Effect of gravity and variable thermal conductivity in a thermoelastic half space with dual phase lag model. [europepmc]
• Wave propagation and thermal behavior in nonlocal thermoelastic porous media under moving heat sources with three-phase-lag and Green-Naghdi models. [europepmc]
• A Novel Stochastic Model of the Photo-Thermoelasticity Theory of the Non-Local Excited Semiconductor Medium [europepmc]

Related

• Thermoelasticity with Second Sound: A Review
• Sharp large time asymptotic behavior for the multi-dimensional thermoelastic systems of type II and type III
• A thermodynamically consistent formulation of generalized thermoelasticity at finite deformations
• A Note on a Two-Temperature Model in Linear Thermoelasticity
• On the regularity for thermoelastic systems of phase-lag parabolic type