Abstract The present study is to focus on the two dimensional problem of micropolar porous circular plate with three phase lag model within context temperatures generalized thermoelasticity theory. solved by applying Laplace and Hankel transforms after using potential functions. expressions displacements, microrotation, volume fraction field, temperature distribution stresses are obtained in transformed domain. To show utility approach, normal force thermal source taken. numerical inversion...

The present paper examined a two-dimensional axi-symmetric problem of thick circular plate in micropolar porous thermoelastic medium due to thermomechanical sources. An eigenvalue approach has been employed after applying the Laplace and Hankel transforms investigate problem. expressions displacements, stresses, microrotation, volume fraction field temperature distribution are obtained transformed domain. A numerical inversion technique used obtain resulting quantities physical simulated...

Purpose The purpose of this paper is to study the axisymmetric problem in a micropolar porous thermoelastic circular plate with dual phase lag model by employing eigenvalue approach subjected thermomechanical sources. Design/methodology/approach Laplace and Hankel transforms are employed obtain expressions for displacements, microrotation, volume fraction field, temperature distribution stresses transformed domain. A numerical inversion technique has been carried out resulting quantities...

Abstract In the present work, we consider a two dimensional axisymmetric problem of micropolar porous circular plate with thermal and chemical potential sources in context theory dual phase lag generalized thermoelastic diffusion. The functions are used to analyze problem. Laplace Hankel transforms techniques find expressions displacements, microrotation, volume fraction field, temperature distribution, concentration stresses transformed domain. inversion based on Fourier expansion is...

Purpose The purpose of this paper is establish a model the equations two‐dimensional problem fluid saturated porous medium for half space. Design/methodology/approach A state space approach has been applied to solve problem. Normal mode analysis used obtain exact expressions normal stress, tangential stress and pore pressure. Findings computer programme developed numerical results are obtained pressure depicted graphically special model. particular case interest also deduced from present...

Two-dimensional elastodynamic displacements and stresses for a monoclinic solid have been obtained in relatively simple form by the use of eigenvalue method, following Laplace Fourier transforms. The main aim this paper is to present straightforward analytical method which avoids cumbersome nature problem convenient numerical computation. matrix notation unwieldy mathematical expressions. A particular case normal line-load acting an orthotropic discussed detail. corresponding deformation...

Dispersion of Rayleigh type surface waves have been studied in a liquid-saturated porous solid layer over half-space having loosely bonded interface with the effect pore alignment. Some special cases deduced by changing depth layer. Frequency equation form determinant has obtained. curves giving phase and group velocities as function wave number plotted graphically for four different particular model.

Within the framework of investigation, a general solution to field equations micropolar thermodiffusive elastic medium for two-dimensional problem based on concept Lord and Shulman [1 Lord, H. W. Shulman, Y. 1967. A Generalized Dynamical Theory Thermoelasticity. J. Mech. Phys. Solid, vol.-15: 299–309. [Google Scholar]] theory are obtained by employing Laplace Fourier transforms. The application distributed sources has been considered show utility problem. transformed components displacement,...

In the present manuscript, eigenvalue approach is used for two-dimensional problem of nonlocal microstretch circular plate subjected to mechanical source. The Laplace and Hankel transforms are applied solve problem. inversion carried out using formula together with Fourier expansion techniques. Numerical methods obtain results in physical domain. elasticity deduced as special cases from formulation. represented graphically discussed show effect microstretch.

In the present investigation, constitutive relations and field equations for micropolar generalized thermodiffusive are derived deduced Green Lindsay (G—L) theory, in which thermodiffusion governed by four different relaxation times. The general solution to is investigated applying Laplace Fourier transforms as a result of concentrated normal force, or thermal point source potential source. To get physical form, numerical inversion technique has been applied. components displacement, stress,...