Journal ArticleDOI
Reflection of plane waves from the stress-free isothermal and insulated boundaries of a nonlocal thermoelastic solid
TLDR
In this paper, the generalized thermoelasticity theory based upon the Green and Naghdi model II of thermo-lasticity as well as the Eringen's non-local elasticity model is used to study the propagation of harmonic plane waves in a nonlocal thermelastic medium.About:
This article is published in Applied Mathematical Modelling.The article was published on 2019-09-01. It has received 33 citations till now. The article focuses on the topics: Longitudinal wave & Thermoelastic damping.read more
Citations
More filters
Journal ArticleDOI
Free vibration analysis of a nonlocal thermoelastic hollow cylinder with diffusion
TL;DR: In this article, the constitutive relations and the governing equations for nonlocal thermoelastic solid in the presence of diffusion are derived for the free vibration of a thermo-elastic diffusive cloud.
Journal ArticleDOI
Waves in nonlocal thermoelastic solids of type II
TL;DR: In this article, the authors investigated the propagation of thermoelastic plane harmonic waves in a non-local thermo-elastic medium using the Green and Naghdi theory.
Journal ArticleDOI
Reflection of plane waves in generalized thermoelasticity of type III with nonlocal effect
Journal ArticleDOI
Vibration analysis of functionally graded thermoelastic nonlocal sphere with dual-phase-lag effect
TL;DR: In this article, the vibration of a functionally graded axisymmetric nonlocal thermoelastic hollow sphere with dual-phase-lag effect is addressed, where surfaces of the sphere are assumed to be thermally insulated or isothermal and stress free.
Journal ArticleDOI
On the Analysis of Free Vibrations of Nonlocal Elastic Sphere of FGM Type in Generalized Thermoelasticity
TL;DR: In this article, free vibrations of nonhomogenous (functionally graded material (FGM)) axisymmetric nonlocal thermoelastic hollow sphere has been taken into consideration for investigation.
References
More filters
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.
Journal ArticleDOI
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.
Journal ArticleDOI
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.
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
Thermoelasticity without energy dissipation
Albert Edward Green,P. M. Naghdi +1 more
TL;DR: In this article, a general uniqueness theorem for linear thermoelasticity without energy dissipation is proved and a constitutive equation for an entropy flux vector is determined by the same potential function which also determines the stress.