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Journal ArticleDOI

Plane waves in nonlocal thermoelastic solid with voids

TLDR
In this paper, the propagation of time harmonic plane waves in an infinite nonlocal thermoelastic solid having void pores was studied, and the effects of frequency, void parameters, thermal parameter and nonlocality have been studied numerically on the phase speeds, attenuation coefficients and specific losses of all the propagating waves.
Abstract
This work is concerned with the propagation of time harmonic plane waves in an infinite nonlocal thermoelastic solid having void pores. Three sets of coupled dilatational waves and an independent transverse wave may travel with distinct speeds in the medium. All these waves are found to be dispersive in nature, but the coupled dilatational waves are attenuating, while transverse wave is nonattenuating. Coupled dilatational waves are found to be influenced by the presence of voids, thermal field and elastic nonlocal parameter. While the transverse wave is found to be influenced by the nonlocal parameter, but independent of void and thermal parameters. For a particular model, the effects of frequency, void parameters, thermal parameter and nonlocality have been studied numerically on the phase speeds, attenuation coefficients and specific losses of all the propagating waves. All the computed results obtained have been depicted graphically and explained.

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Citations
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Journal ArticleDOI

Plane waves in Moore–Gibson–Thompson thermoelasticity considering nonlocal elasticity effect

TL;DR: In this article , the Moore-Gibson-Thompson (MGT) generalized thermoelasticity theory together with the Eringen's nonlocal elasticity model is used to study the propagation of harmonic plane waves in an infinite elastic medium that conducts heat.
Journal ArticleDOI

Reflection of plane waves in a rotating nonlocal fiber-reinforced transversely isotropic thermoelastic medium

TL;DR: In this paper , the amplitude ratios for the reflection of plane waves from the free surface of a rotating nonlocal, fiber-reinforced, transversely isotropic thermoelastic medium in the context of Lord-Shulman theory were derived using MATLAB software.
Journal ArticleDOI

Reflection of Plane Waves in Nonlocal Fractional-Order Thermoelastic Half Space

TL;DR: In this article , the x-y plane was considered for the governing equation of nonlocal fractional order thermoelasticity and solved these governing equations to calculate the equation in terms of frequency, which showed that three sets of waves exist, in which two are coupled and one is uncoupled.
References
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Book

Wave propagation in elastic solids

TL;DR: In this article, the linearized theory of elasticity was introduced and the elasticity of a one-dimensional motion of an elastic continuum was modeled as an unbound elastic continuum.
Journal ArticleDOI

A generalized dynamical theory of thermoelasticity

TL;DR: In this article, a generalized dynamical theory of thermoelasticity is formulated using a form of the heat transport equation which includes the time needed for acceleration of heat flow.
Journal ArticleDOI

Thermoelasticity and Irreversible Thermodynamics

TL;DR: In this article, a unified treatment of thermoelasticity by application and further developments of the methods of irreversible thermodynamics is presented, along with a new definition of the dissipation function in terms of the time derivative of an entropy displacement.
Book

Nonlocal Continuum Field Theories

TL;DR: Memory-dependent nonlocal nonlocal Electromagnetic Elastic Solids as mentioned in this paper have been shown to be memory-dependent on nonlocal elasticity and nonlocal linear elasticity, as well as nonlocal Linear Elasticity and Nonlocal Fluid Dynamics.
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