Journal ArticleDOI
Generalized Theory of Thermoelastic Diffusion for Anisotropic Media
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In this article, the equations of generalized thermoelastic diffusion, based on the theory of Lord and Shulman with one relaxation time, are given in anisotropic media, and a variational principle for the governing equations is obtained.Abstract:
The equations of generalized thermoelastic diffusion, based on the theory of Lord and Shulman with one relaxation time, are given in anisotropic media. A variational principle for the governing equations is obtained. Then we show that the variational principle can be used to obtain a uniqueness theorem under suitable conditions. A reciprocity theorem for these equations is given. The obtained results are valid for some special cases that can be deduced from our generalized model.read more
Citations
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Journal ArticleDOI
Mathematical Theory Of Elasticity
TL;DR: Sokolnikoff's book as discussed by the authors differs greatly from Southwell, Timoshenko, and Love in spirit and content, and is symptomatic of the change in outlook of American mathematics over the past few decades.
Journal ArticleDOI
Propagation of Lamb waves in transversely isotropic thermoelastic diffusive plate
Rajneesh Kumar,Tarun Kansal +1 more
TL;DR: The constitutive relations and field equations for anisotropic generalized thermoelastic diffusion are derived and deduced for a particular type of anisotropy, i.e., transverse isotropy as mentioned in this paper.
Journal ArticleDOI
A theory of thermoelastic diffusion materials with voids
TL;DR: In this paper, the authors derived the equations of the linear theory of thermoelastic diffusion in porous media based on the concept of volume fraction, and established a reciprocal relation which leads to reciprocity, uniqueness and continuous dependence theorems for anisotropic materials.
Journal ArticleDOI
Theory of Generalized Micropolar Thermoelastic Diffusion Under Lord–Shulman Model
TL;DR: In this article, the general equations of motion and constitutive equations based on the theory of Lord-Shulman with one relaxation time were derived for a general homogeneous anisotropic medium with a microstructure, taking into account the effects of heat and diffusion.
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.
References
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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
Mathematical Theory Of Elasticity
TL;DR: Sokolnikoff's book as discussed by the authors differs greatly from Southwell, Timoshenko, and Love in spirit and content, and is symptomatic of the change in outlook of American mathematics over the past few decades.
Journal ArticleDOI
Generalized thermoelasticity for anisotropic media
TL;DR: In this article, the generalized thermoelasticity for an anisotropic medium is derived and a uniqueness theorem for these equations is proved, and a variational principle for the equations of motion is obtained.
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