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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
Citations
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Investigation on the transient response of a porous half-space with strain and thermal relaxations
TL;DR: In this article, a linear thermoelastic theory for porous materials is established by extending the existing theory, in which the strain relaxation and the thermal relaxation are included, and then the corresponding constitutive equations are obtained by specifying the generalized free energy.
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Nonlocal elasticity and thermal dual‐phase‐lag effect on the vibration analysis of transversely isotropic electro‐magneto generalized thermoelastic sphere with voids
TL;DR: In this paper , the nonlocal elasticity together with electro−magneto thermal dual phase lag (DPL) model to a transversely isotropic generalized thermoelastic hollow sphere with voids is addressed in radial direction.
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Thermoelastic responses in rotating nanobeams with variable physical properties due to periodic pulse heating
TL;DR: In this paper, the effects of size and non-local factors, variability of thermal conductivity, centrifugal force due to rotation and couple stress on different field variables are visually presented and examined in depth.
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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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Dispersion of Love-type wave and its limitation in a nonlocal elastic model of nonhomogeneous layer upon an orthotropic extended medium
TL;DR: In this article , a generalized linear elasticity theory with the nonlocal effect in the fundamental stress-strain relation is adopted to address the equation of motion in layered media, and the dispersion of Love-type wave and its limitation in a nonlocal elastic media are analyzed graphically using MATLAB software.
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.