20 research outputs found

    Plane Strain Deformation In Thermoelastic Microelongated Solid

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    The purpose of this paper is to study the two dimensional deformation in a thermoelastic microelongated solid. A mechanical force is applied along the interface of fluid half space and thermoelastic microelongated half space. The normal mode analysis has been applied to obtain the exact expressions for displacement component, force stress and temperature distribution. The effect of microelongation on the displacement component, force stress and temperature distribution has been depicted graphically for Green-Lindsay (GL) theory of thermoelasticity. Keywords: Thermoelasticity, Microelongation, Normal mode analysis

    Wave propagation in a hygrothermoelastic half-space along with non-local variable

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    This particular work is an effort to investigate the propagation of wave in hygrothermoelastic medium in the light of Eringen鈥檚 nonlocal theory of elasticity. The coupled wave equations in terms of displacement, temperature and moisture concentration are solved in an analytical way. The phase velocities of longitudinal displacement wave, transverse displacement wave, diffusion wave and thermal wave, under the influence of nonlocal variable, moisture concentration, and diffusion coefficient, in the medium are obtained analytically and presented graphically to show the effect of these parameters on the wave velocities

    Steady State Response at the Interface of Elastic Half Space and Micropolar Liquid-saturated Porous Half Space

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    Abstract: The steady state response of a micropolar liquid saturated porous solid with an overlying elastic half space to a moving point load along the interface has been investigated. The transformed components of displacement, microrotation, force stress (in solid and liquid parts) and couple stress are obtained by using Fourier transformation. These components are then inverted and the results are obtained in the physical domain by applying a numerical inversion technique. The numerical results are depicted graphically for a particular model. Some particular results are also deduced from the present investigation and these deduced results are compared with the already established results by previous researchers

    Variable thermal conductivity in micropolar thermoelastic medium without energy dissipation possessing cubic symmetry

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    This investigation deals with the effect of variable thermal conductivity in a micropolar thermoelastic medium without energy dissipation with cubic symmetry. The normal mode technique is employed for obtaining components of physical quantities such as displacement, stress, temperature distribution and microrotation

    Fibre-Reinforced Generalized Thermoelastic Medium under Hydrostatic Initial Stress

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    One-dimensional thermal shock problem for a semi-infinite hygrothermoelastic rod

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    The present research article deals with the study of a boundary value problem of a one-dimensional semi-infinite hygro-thermoelastic rod of length l. The deformation of the rod is under consideration when the left boundary of the hygro-thermoelastic rod is subjected to a sudden heat source. The solutions of the considered variables are decomposed in terms of normal modes. Analytical expressions of displacement, moisture concentration, temperature field, and stresses are obtained and presented graphically for different periods. By studying the one-dimensional thermal shock problem for a semi-infinite hygrothermoelastic rod, the authors aim to gain insights into the fundamental behavior of materials subjected to rapid temperature changes and moisture effects

    Two-dimensional analysis of functionally graded thermoelastic microelongated solid

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    The present research focuses on two-dimensional deformation in a functionally graded thermoelastic micro-elongated medium. It is supposed that the non-homogeneous properties (thermal and mechanical) of FGM are in the x-direction. The normal mode technique is used to acquire the analytic expression for displacement components, stress, micro-elongation and temperature. The cause and effect relationship of non-homogeneity and physical quantities is shown through graphical results

    A theoretical study of mechanical source in a hygrothermoelastic medium with an overlying non-viscous fluid

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    This work demonstrates deformation in hygrothermoelastic medium with an overlying non-viscous fluid of uniform thickness. A constant mechanical force is applied along the fluid-layer. The normal-mode analysis technique is applied to solve the governing equations of the medium. The analytical expressions of displacement, moisture concentration, temperature distribution, and stresses are obtained for the hygrothermoelastic medium and depicted graphically for different values of fluid-layer depth. The finding of this work is that the values of the aforementioned physical quantities decrease with an increase in the fluid-layer, which justifies the decaying nature of waves with depth. The novelty of the problem is that no research has been carried out so far for analyzing hygrothermoelastic medium subjected to thermoelastic deformation
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