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Nonlocal theory of thermoelastic materials with voids and fractional derivative heat transfer
Mitali Bachher,Nantu Sarkar +1 more
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In this paper, a nonlocal theory of generalized thermoelastic materials with voids based on Eringen's nonlocal elasticity and Caputo fractional derivative is established.Abstract:
A new nonlocal theory of generalized thermoelastic materials with voids based on Eringen’s nonlocal elasticity and Caputo fractional derivative is established. The one-dimensional form of the above...read more
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Generalized thermoelastic interaction in a two-dimensional porous medium under dual phase lag model
Aatef Hobiny,Ibrahim A. Abbas +1 more
TL;DR: In this article, the generalized model for thermoelastic wave under the dual phase lag (DPL) model was used to compute the increment of temperature, the components of displacement, the changes in volume fraction field and the stress components in a two-dimensional (2D) porous medium.
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Thermoelastic responses of a finite rod due to nonlocal heat conduction
TL;DR: In this article, the effect of the thermal nonlocal parameter on the distributions of the field variables and the speed of the moving heat source was investigated. But the authors focused on the effects of the nonlocal temperature on the distribution of field variables in the space-time domain.
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Rayleigh-type surface waves in a nonlocal thermoelastic solid half space with voids
TL;DR: In this article, the propagation of surface waves in an isotropic and homogeneous nonlocal generalized thermoelastic solid half-space with voids was studied, and the dispersion relations for Rayleigh-t...
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Vibrations of a nonlocal thermoelastic cylinder with void
TL;DR: In this paper, the free vibrations of a homogeneous isotropic nonlocal thermoelastic cylinder with void were investigated and the frequency equation for the continuation of vibrations for the mode numbers in the considered cylinder was deduced in closed form for traction free and isothermal/thermally insulated boundary conditions.
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Effect of dual-phase-lag model on the vibration analysis of nonlocal generalized thermoelastic diffusive hollow sphere
TL;DR: In this article, the authors inspect the nonlocal Erigen's elasticity model for free vibrations of thermoelastic diffusive sphere in the reference of dual-phase-lag (DPL) model of generalized thermo-elasticit...
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
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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Applications of Fractional Calculus to Dynamic Problems of Linear and Nonlinear Hereditary Mechanics of Solids
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Fractional heat conduction equation and associated thermal stress
TL;DR: A quasi-static uncoupled theory of thermoelasticity based on the heat conduction equation with a time-fractional derivative of order α is proposed in this article.