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R. Vohra

Bio: R. Vohra is an academic researcher. The author has contributed to research in topics: Current (fluid) & Thermal Hall effect. The author has an hindex of 1, co-authored 1 publications receiving 8 citations.

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TL;DR: In this article, a state space approach has been applied to investigate the one dimensional problem in a homogeneous, isotropic thermoelastic medium with double porosity structure in the presence of Hall currents subjected to thermomechanical sources.
Abstract: Abstract The present investigation is concerned with one dimensional problem in a homogeneous, isotropic thermoelastic medium with double porosity structure in the presence of Hall currents subjected to thermomechanical sources. A state space approach has been applied to investigate the problem. As an application of the approach, normal force and thermal source have been taken to illustrate the utility of the approach. The expressions for the components of normal stress, equilibrated stress and the temperature change are obtained in the frequency domain and computed numerically. A numerical simulation is prepared for these quantities. The effect of the Hartmann number is depicted graphically on the resulting quantities for a specific model. Some particular cases of interest are also deduced from the present investigation.

10 citations


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TL;DR: In this article, a generalized thermoelasticity with one relaxation time in an isotropic elastic medium with the elastic modulus dependent on temperature and with an internal heat source is established using a Laplace transform in time and a Fourier transform in the space variable.
Abstract: A two-dimensional equation of generalized thermoelasticity with one relaxation time in an isotropic elastic medium with the elastic modulus dependent on temperature and with an internal heat source is established using a Laplace transform in time and a Fourier transform in the space variable. The problem for the transforms is solved in the space of states. The problem of heating of the upper and the lower surface of a plate of great thickness by an exponential time law is considered. Expressions for displacements, temperature, and stresses are obtained in the transform domain. The inverse transform is obtained using a numerical method. Results of solving the problem are presented in graphical form. Comparisons are made with the results predicted by the coupled theory and with the case of temperature independence of the elastic modulus.

24 citations

01 Jan 1983
TL;DR: In this paper, the propagation of acoustic waves in a fluid-saturated porous medium containing a continuously distributed system of fractures is discussed, where the porous medium is assumed to consist of two degrees of porosity and the resulting model thus yields three types of longitudinal waves associated with the elastic properties of the matrix material and one each for the fluids in the pore space and the fracture space.
Abstract: Abstract The propagation of acoustic waves in a fluid-saturated porous medium containing a continuously distributed system of fractures is discussed. The porous medium is assumed to consist of two degrees of porosity and the resulting model thus yields three types of longitudinal waves, one associated with the elastic properties of the matrix material and one each for the fluids in the pore space and the fracture space. Two approaches are considered: one based on Biot's approach utilizing the “viscodynamic operator” and one based on Aifantis' “multiporosity theory”.

10 citations

Journal ArticleDOI
TL;DR: In this paper, a long-term memory is assumed on the heat equation, under some assumptions on the constitutive power of the generator and the generator, and a poro-thermo-elastic problem is studied from the mathematical and numerical points of view.
Abstract: In this work, we study from the mathematical and numerical points of view a poro-thermoelastic problem. A long-term memory is assumed on the heat equation. Under some assumptions on the constitutiv...

10 citations

Journal ArticleDOI
TL;DR: In this article, the authors considered the Lord-Shulman thermoelastic theory with porosity and microtemperatures and showed that the semigroup is dissipative.
Abstract: In this paper we consider the Lord–Shulman thermoelastic theory with porosity and microtemperatures. The new aspect we propose here is to introduce a relaxation parameter in the microtemperatures. Then we obtain an existence theorem for the solutions. In the case that a certain symmetry is satisfied by the constitutive tensors, we prove that the semigroup is dissipative. In fact, an exponential decay of solutions can be shown for the one-dimensional case. In the last section, we restrict our attention to the case where we have an isotropic and homogeneous material without porosity effects and assuming that two of the constitutive parameters have the same sign. We see that the semigroup is dissipative.

8 citations

Journal ArticleDOI
TL;DR: In this article, a linear coupled model of elastic double-porosity materials is proposed in which the coupled phenomenon of the concepts of Darcy's law and the volume fraction is considered.
Abstract: In the present paper the linear coupled model of elastic double-porosity materials is proposed in which the coupled phenomenon of the concepts of Darcy’s law and the volume fraction is considered. The basic internal and external boundary value problems (BVPs) of steady vibrations are investigated. Indeed, the fundamental solution of the system of steady vibration equations is constructed explicitly by means of elementary functions, and its basic properties are presented. The radiation conditions are established, and Green’s identities are obtained. The uniqueness theorems for the regular (classical) solutions of the BVPs are proved. The surface (single-layer and double-layer) and volume potentials are constructed, and the basic properties of these potentials are given. The determinants of symbolic matrices of the singular integral operators are calculated explicitly. Then, the BVPs are reduced to the always solvable singular integral equations for which Fredholm’s theorems are valid. Finally, the existence theorems for classical solutions of the BVPs are proved by means of the potential method (boundary integral equation method) and the theory of singular integral equations.

5 citations