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
Citations
More filters
Journal ArticleDOI
L–S theory for the propagation of the photo-thermal waves in a semiconducting nonlocal elastic medium
TL;DR: 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.
Journal ArticleDOI
The propagation of plane waves in nonlocal visco-thermoelastic porous medium based on nonlocal strain gradient theory
Journal ArticleDOI
A generalized thermoelastic problem due to nonlocal effect in presence of mode I crack
Abhik Sur,Sudip Mondal +1 more
TL;DR: In this article, a nonlocal model of nonlocal thermoelasticity is proposed which resolves a dynamical problem of a homogeneous, isotropic infinite space weakened by a finite linear mode I crack.
Journal ArticleDOI
Fundamental solution of steady oscillations equations in nonlocal thermoelastic medium with voids
TL;DR: In this article, a nonlocal theory of generalized thermoelasticity with voids based on Eringen's nonlocal elasticity is established, and the propagation of plane harmonic waves in nonlocal thermo-elastic med...
References
More filters
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.
Journal ArticleDOI
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.
Journal ArticleDOI
Applications of Fractional Calculus to Dynamic Problems of Linear and Nonlinear Hereditary Mechanics of Solids
Journal ArticleDOI
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.