The influence of thermal loading due to laser pulse on generalized micropolar thermoelastic solid with comparison of different theories
21 Oct 2014-Multidiscipline Modeling in Materials and Structures (Emerald Group Publishing Limited)-Vol. 10, Iss: 3, pp 328-345
TL;DR: In this paper, the authors introduced the coupled theory, Lord-Shulman theory with one relaxation time and Green-Lindsay theory with two relaxation times to study the influence of rotation on generalized micropolar thermoelasticity subject to thermal loading due to laser pulse.
Abstract: Purpose – The purpose of this paper is to introduce the coupled theory, Lord-Shulman theory with one relaxation time and Green-Lindsay theory with two relaxation times to study the influence of rotation on generalized micropolar thermoelasticity subject to thermal loading due to laser pulse. The bounding plane surface is heated by a non-Gaussian laser beam with pulse duration of 8 ps. Design/methodology/approach – The problem has been solved numerically by using the normal mode analysis. Findings – The thermal shock problem is studied to obtain the exact expressions for the displacement components, force stresses, temperature, couple stresses and micro-rotation. The distributions of the considered variables are illustrated graphically. Comparisons are made with the results predicted by three theories in the presence and absence of laser pulse and for different values of time. Originality/value – Generalized micropolar thermoelastic solid.
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29 citations
Cites background from "The influence of thermal loading du..."
...Othman et al.[32] studied the effect of thermal loading due to laser pulse on some problems of the generalized thermo-elasticity....
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TL;DR: In this paper, the effect of the gravitational field on a two-dimensional thermoelastic medium influenced by thermal loading due to a laser pulse was investigated under Green-Naghdi theory with and without energy dissipation.
Abstract: The present work aims to investigate the effect of the gravitational field on a two-dimensional thermoelastic medium influenced by thermal loading due to a laser pulse. The bounding plane surface is heated by a non-Gaussian laser beam. The problem is discussed under Green–Naghdi theory with and without energy dissipation. The normal mode analysis method is used to get the expressions for the physical quantities. The results are illustrated graphically.
22 citations
Cites background from "The influence of thermal loading du..."
...The high intensity, energy flux, and ultra-short duration laser beam have studied situations where very large thermal gradients or an ultra-high heating rate may exist on the boundaries, this in the case of ultra-short-pulsed laser heating [16,17]....
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TL;DR: In this article, the deformation in a micropolar thermoelastic medium with dual-phase-lag theory due to rotation subjected to the thermal laser pulse was investigated and the normal mode analysis technique was used to solve the problem.
Abstract: The present investigation deals with the deformation in micropolar thermoelastic medium with dual-phase-lag theory due to rotation subjected to the thermal laser pulse. The normal mode analysis technique is used to solve the problem. The material is heated by a non-Gaussian laser beam with pulse duration of 0.02 ps. The closed-form expressions of the normal stress, the tangential stress, the couple stress, and the temperature distribution are obtained. The variation of considered variables is depicted graphically to show the effect of rotation and time. Some particular cases of interest are deduced from the present investigation.
19 citations
TL;DR: In this article, the effect of the gravity field and micropolarity on the wave propagation in a two-temperature generalized thermoelastic problem for a medium is discussed.
Abstract: Purpose
The dual-phase-lag (DPL) model is applied to study the effect of the gravity field and micropolarity on the wave propagation in a two-temperature generalized thermoelastic problem for a medium. The paper aims to discuss this issue.
Design/methodology/approach
The exact expressions of the considered variables are obtained by using normal mode analysis.
Findings
Numerical results for the field quantities are given in the physical domain and illustrated graphically to show the effect of angle of inclination. Comparisons of the physical quantities are also shown in figure to study the effect of gravity and two-temperature parameter.
Originality/value
This paper is concerned with the analysis of transient wave phenomena in a micropolar thermoelastic half-space subjected to inclined load. The governing equations are formulated in the context of two-temperature generalized thermoelasticity theory with DPLs. A medium is assumed to be initially quiescent and under the effect of gravity. An analytical solution of the problem is obtained by employing normal mode analysis. Numerical estimates of displacement, stresses and temperatures are computed for magnesium crystal-like material and are illustrated graphically. Comparisons of the physical quantities are shown in figures to study the effects of gravity, two-temperature parameter and angle of inclination. Some particular cases of interest have also been inferred from the present problem.
12 citations
TL;DR: In this paper, the authors introduce the three phase lag theory to study the effect of the rotation on a two-dimensional problem of the micropolar thermoelastic isotropic medium.
Abstract: The main objective of this discussion is to introduce the three-phase-lag theory to study the effect of the rotation on a two-dimensional problem of the micropolar thermoelastic isotropic medium. B...
6 citations
References
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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.
Abstract: In this work a generalized dynamical theory of thermoelasticity is formulated using a form of the heat transport equation which includes the time needed for acceleration of the heat flow. The theory takes into account the coupling effect between temperature and strain rate, but the resulting coupled equations are both hyperbolic. Thus, the paradox of an infinite velocity of propagation, inherent in the existing coupled theory of thermoelasticity, is eliminated. A solution is obtained using the generalized theory which compares favourably with a known solution obtained using the conventional coupled theory.
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TL;DR: In this article, a special class of micro-elastic materials called Micropolar Solids are presented for couple stress and distributed body couples, and the couple stress theory is shown to emanate as a spacial case of the present theory.
Abstract: : Equations of motion, constitutive equations and boundary conditions are presented for a special class of micro-elastic materials called Micropolar Solids. These solids respond to micro-rotational motions and spin inertia and can support couple stress and distributed body couples. The couple stress theory is shown to emanate as a spacial case of the present theory when the motion is constrained so that micro- and macro-rotations coincide. Several energy and uniqueness theorems are given.
929 citations
833 citations