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A three-dimensional thermoelastic problem for a half-space without energy dissipation

TLDR
In this paper, a three-dimensional problem for a homogeneous, isotropic and thermoelastic half-space subjected to a time-dependent heat source on the boundary of the space, which is traction free, is considered in the context of the Green and Naghdi model II (thermasticity without energy dissipation).
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This article is published in International Journal of Engineering Science.The article was published on 2012-02-01. It has received 71 citations till now. The article focuses on the topics: Thermoelastic damping & Dissipation.

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Eigenvalue approach in a three-dimensional generalized thermoelastic interactions with temperature-dependent material properties

TL;DR: A three-dimensional model of the generalized thermoelasticity without energy dissipation under temperature-dependent mechanical properties is established and the modulus of elasticity is taken as a linear function of the reference temperature.
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Generalized thermoelastic infinite medium with voids subjected to a instantaneous heat sources with fractional derivative heat transfer

TL;DR: In this article, the fractional order Green-Lindsay model of generalized thermoelasticity with voids (FGLV) subjected to instantaneous heat sources in a plane area has been established using the Riemann-Liouville fractional integral operator and applied to solve a problem of determining the distribution of temperature, the volume fraction field, the deformation and the stress field in an infinite elastic medium.
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Effect of fractional parameter on plane waves of generalized magneto-thermoelastic diffusion with reference temperature-dependent elastic medium

TL;DR: The present paper is concerned with the investigation of disturbances in a homogeneous, isotropic reference temperature-dependent elastic medium with fractional order generalized thermoelastic diffusion and analytical expressions for displacement components, stresses, temperature field, concentration and chemical potential are obtained.
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Fractional order thermoelastic interactions in an infinite porous material due to distributed time-dependent heat sources

TL;DR: In this paper, a fractional order Lord & Shulman model of generalized thermoelasticity with voids subjected to a continuous heat sources in a plane area has been established using the Caputo fractional derivative and applied to solve a problem of determining the distributions of the temperature field, the change in volume fraction field, and the deformation and the stress field in an infinite elastic medium.
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Two temperature generalized magneto-thermoelastic interactions in an elastic medium under three theories

TL;DR: Magneto-thermoelastic interactions in an isotropic homogeneous elastic half-space with two temperatures are studied using mathematical methods under the purview of the Lord-Shulman and Green-Lindsay theories, as well as the classical dynamical coupled theory.
References
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A study of generalized thermoelastic interactions in an unbounded medium with a spherical cavity

TL;DR: The aim of the present paper is to study the thermoelastic interactions in an unbounded elastic medium with a spherical cavity in the context of four different theories of thermoElasticity, namely: the classical coupled dynamical thermoELasticity), the extended therMOelasticness, the temperature-rate-dependent thermoalasticity and the thermoselasticity without energy dissipation in a unified way.

Thermal Stresses in an Isotropic Elastic Slab due to Prescribed Surface Temperature

TL;DR: In this paper, a dynamical two dimensional problem of generalized thermoelasticity has been considered to examine the stresses in an isotropic elastic slab and numerical computations of the stresses have been made and presented graphically.
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