Journal ArticleDOI
Eigen value approach to study the effect of rotation and relaxation time in two dimensional problems of generalized thermoelasticity
TLDR
In this paper, the authors used the joint Laplace and Fourier transforms to transform the governing equations into a vector-matrix differential equation which is then solved by the eigenvalue approach.About:
This article is published in International Journal of Engineering Science.The article was published on 2004-09-01. It has received 27 citations till now. The article focuses on the topics: Thermoelastic damping & Differential equation.read more
Citations
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Journal ArticleDOI
Generalized thermo-visco-elastic problem of a spherical shell with three-phase-lag effect
Avijit Kar,Mridula Kanoria +1 more
TL;DR: In this paper, the inverse of the transformed solution is carried out by applying a method of Bellman et al. using the Laplace transformation and the fundamental equations have been expressed in the form of vector-matrix differential equation which is then solved by eigen value approach.
Journal ArticleDOI
A study of magneto-thermoelastic problems with thermal relaxation and heat sources in a three-dimensional infinite rotating elastic medium
TL;DR: In this article, the fundamental equations of the three-dimensional problem of generalized thermoelasticity with one relaxation parameter including heat source in an infinite rotating elastic medium under the influence of magnetic field were obtained as a vector-matrix differential equation form in the Laplace-Fourier transform domain.
Journal ArticleDOI
Effect of rotation in magneto-micropolar thermoelastic medium due to mechanical and thermal sources
Rajesh Kumar,Rupender +1 more
TL;DR: In this paper, a two dimensional problem in electromagnetic micropolar generalized thermoelastic medium, in the presence of a transverse magnetic field subjected to mechanical force or thermal source (concentrated or uniformly distributed), is investigated.
Journal ArticleDOI
Study of Finite Thermal Waves in a Magnetothermoelastic Rotating Medium
P. Das,Mridula Kanoria +1 more
TL;DR: In this paper, the problem of finite thermoelastic wave propagation in an unbounded rotating medium due to a periodically varying heat source under the influence of a magnetic field was solved by using the Laplace-Fourier double transform technique.
Journal ArticleDOI
A discontinuity analysis of generalized thermoelasticity theory with memory-dependent derivatives
Soumen Shaw,Basudeb Mukhopadhyay +1 more
TL;DR: In this paper, the discontinuities of the theory of heat conduction model with memory-dependent derivatives are emphasized and a suitable Lyapunov function, which will be an important tool to study several qualitative properties, is proposed.
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.
BookDOI
Integral transforms and their applications
Lokenath Debnath,Dambaru Bhatta +1 more
TL;DR: In this article, the authors describe the application of the Fourier Transform in the context of fractional calculus and apply it to the problem of finite differential equations in the complex plane.
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.