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Plane waves in nonlocal thermoelastic solid with voids

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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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Journal ArticleDOI

Surface waves in nonlocal thermoelastic medium with state space approach

TL;DR: In this paper, a new model based on Eringen's nonlocal thermoelasticity is constructed for the propagation of Rayleigh surface waves in homogeneous isotropic medium.
Journal ArticleDOI

Frequency shifts and thermoelastic damping in different types of Nano-/Micro-scale beams with sandiness and voids under three thermoelasticity theories

TL;DR: In this paper, the analytical study of thermoelastic damping (TED) and frequency shift (FS) in micro-scale beams and TED in nano-scale beam is presented.
Journal ArticleDOI

Analysis of plane wave propagation under the purview of three phase lag theory of thermoelasticity with non-local effect

TL;DR: In this paper, three phase lag theory of thermoelasticity has been applied to account for the interactions between elastic and thermal fields, and numerical results have been computed to explore the physics of the problem.
Journal ArticleDOI

Vibration analysis of functionally graded thermoelastic nonlocal sphere with dual-phase-lag effect

TL;DR: In this article, the vibration of a functionally graded axisymmetric nonlocal thermoelastic hollow sphere with dual-phase-lag effect is addressed, where surfaces of the sphere are assumed to be thermally insulated or isothermal and stress free.
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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