Open AccessJournal Article
State space approach to the generalized thermoelastic problem with temperature-dependent elastic moduli and internal heat sources
TLDR
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.read more
Citations
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The elastic wave motions for a photothermal medium of a dual-phase-lag model with an internal heat source and gravitational field
Khaled Lotfy,Khaled Lotfy +1 more
TL;DR: In this paper, the dual phase-lag (DPL) heat transfer model is introduced to study the problem of an isotropic generalized thermoelastic medium with an internal heat source that is moving with a con...
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Ramp Type Heating in a Semiconductor Medium under Photothermal Theory
Praveen Ailawalia,Arvind Kumar +1 more
TL;DR: In this article, the effect of ramp-type source and thermoelectric coupling parameter on the components of displacement, force stress, temperature distribution, and carrier density has been shown graphically.
Journal ArticleDOI
Effect of the gravity on the photothermal waves in a semiconducting medium with an internal heat source and one relaxation time
TL;DR: In this article, the authors studied the gravitational effect in a homogeneous isotropic semiconducting medium subjected to an internal heat source, based on Lord-Shulman theory.
Journal ArticleDOI
State space approach to boundary value problem for thermoelastic material with double porosity
TL;DR: The present investigation is concerned with a boundary value problem in a homogeneous, isotropic, thermoelastic body with double porosity due to thermomechanical sources, and a state space approach is applied to study the problem.
Journal ArticleDOI
L–S theory for the propagation of the photo-thermal waves in a semiconducting nonlocal elastic medium
TL;DR: In this paper, the model of the equations of generalized thermoelasticity based on the Lord-Shulman's theory with nonlocal elasticity effect was used to study the photothermal waves in a semiconducting medium.
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.
Journal ArticleDOI
Thermoelasticity and Irreversible Thermodynamics
TL;DR: In this article, a unified treatment of thermoelasticity by application and further developments of the methods of irreversible thermodynamics is presented, along with a new definition of the dissipation function in terms of the time derivative of an entropy displacement.
Behavior of materials under conditions of thermal stress
TL;DR: In this article, a review of available information on the behavior of brittle and ductile materials under conditions of thermal stress and thermal shock is presented, and a simple formula relating physical properties to thermal-shock resistance is derived and used to determine the relative significance of two indices currently in use for rating materials.
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A method for the numerical inversion of Laplace transforms
TL;DR: A numerical inversion method for Laplace transforms, based on a Fourier series expansion developed by Durbin [5], is presented in this article, where the disadvantage of the inversion methods of that type, the encountered dependence of discretization and truncation error on the free parameters, is removed by the simultaneous application of a procedure for the reduction of the Discretization error, a method for accelerating the convergence of the Fourier Series and a procedure that computes approximately the "best" choice of the free parameter.
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