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L–S theory for the propagation of the photo-thermal waves in a semiconducting nonlocal elastic medium

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TLDR
In this paper, the model of the equations of generalized thermoelasticity based on the Lord-Shulman's theory with nonlocal elasticity effect was used to study the photothermal waves in a semiconducting medium.
Abstract
The model of the equations of generalized thermoelasticity based on the Lord–Shulman's theory with nonlocal elasticity effect is used to study the photothermal waves in a semiconducting medium. The...

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State space approach to the generalized thermoelastic problem with temperature-dependent elastic moduli and internal heat sources

TL;DR: In this article, a generalized thermoelasticity with one relaxation time in an isotropic elastic medium with the elastic modulus dependent on temperature and with an internal heat source is established using a Laplace transform in time and a Fourier transform in the space variable.
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Thermo-mechanical disturbances in a nonlocal rotating elastic material with temperature dependent properties

TL;DR: In this paper, the authors studied two-dimensional deformations in a nonlocal, homogeneous, isotropic, rotating thermoelastic medium with temperature-dependent properties under the purview of the Green-Naghdi model II of generalized thermodynamics.
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Plane waves in nonlocal generalized thermoelasticity

TL;DR: In this paper , the propagation of plane thermoelastic waves are probed in a homogeneous isotropic nonlocal thermo-elastic solid by employing this new model.
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Generalized Thermoelastic Interaction in a Half-Space under a Nonlocal Thermoelastic Model

TL;DR: In this article , the authors used the nonlocal continuum theory of Eringen to obtain the wave propagation in unbounded thermoelastic materials, and the integral transforms of the Laplace transform methods used to generate an analytical solution for physical variables are utilized to produce the analytical solutions for the thermal stress, displacement, and temperature distribution.
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Propagation of waves at an interface between a nonlocal micropolar thermoelastic rotating half-space and a nonlocal thermoelastic rotating half-space

TL;DR: In this article , the amplitude and energy ratios for the reflected and transmitted plane waves between a nonlocal micropolar rotating solid half-space and a non-local thermoelastic rotating solid space were derived using MATLAB software.
References
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Journal ArticleDOI

On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves

TL;DR: In this article, the integropartial differential equations of the linear theory of nonlocal elasticity are reduced to singular partial differential equations for a special class of physically admissible kernels.
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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.
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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.
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On nonlocal elasticity

TL;DR: In this article, a theory of non-local elasticity is presented via the vehicles of global balance laws and the second law of thermodynamics via the use of a localized Clausius-Duhem inequality and a variational statement of Gibbsian global thermodynamics.
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Nonlocal polar elastic continua

TL;DR: In this article, a continuum theory of non-local polar bodies is developed for nonlinear micromorphic elastic solids, and the balance laws and jump conditions are given.
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