Journal ArticleDOI
Nonlocal theory of thermoelastic materials with voids and fractional derivative heat transfer
Mitali Bachher,Nantu Sarkar +1 more
TLDR
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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Waves in nonlocal elastic material with double porosity
Davinder Kumar,Dilbag Singh,Dilbag Singh,Sushil K. Tomar,Sohichi Hirose,Takahiro Saitoh,A. Furukawa +6 more
TL;DR: In this paper, a linear theory of nonlocal elastic material with double porosity structure is developed within the context of Eringen's theory of NLE, where the energy density function is constructed from the basic variables, and then, constitutive relations are derived, which are used to develop the field equations for an isotropic homogeneous NLE with double-porosity, and the effect of nonlocality and voids is shown graphically on the dispersion curve of the plane waves for a particular model.
Journal ArticleDOI
A study on thermoelastic interactions in fiber-reinforced mediums containing spherical cavities
Journal ArticleDOI
The incompressible limit method and Rayleigh waves in incompressible layered nonlocal orthotropic elastic media
Vu Thi Ngoc Anh,Pham Chi Vinh +1 more
Journal ArticleDOI
Effect of nonlocality in the vibration of a microscale ribbon due to laser pulse
TL;DR: The vibration analysis of elastic medium is very important along with the miniaturization of the device and wide application of ultra-fast lasers, where size effect on heat conduction and elastic d....
Journal ArticleDOI
Elastic Thermal Deformation of an Infinite Copper Material Due to Cyclic Heat Supply Using Higher-Order Nonlocal Thermal Modeling
TL;DR: In this paper , the nonlocal differential form of Eringen's nonlocal theory is employed to consider the impact of small-scale behavior on the behavior of a viscous half-space exposed to a cyclic heat source.
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.