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Exponential stability in type III thermoelasticity with microtemperatures
In this paper we consider the type III thermoelastic theory with microtemperatures. We study the time decay of the solutions and we prove that under...
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Hygrothermoelastic response of a hollow cylinder based on a coupled time-fractional heat and moisture transfer model
In this paper, the time-fractional diffusion-wave equations are introduced to describe the coupled heat conduction and moisture diffusion in a hollow...
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Stability of thermoelastic Bresse systems
In this paper, we study thermoelastic Bresse systems where the heat conductions, acting on the axial force, are modeled for both Fourier’s and...
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Investigation on the effects of temperature dependency of material parameters on a thermoelastic loading problem
The present work is concerned with the investigation of thermoelastic interactions inside a spherical shell with temperature-dependent material...
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An investigation on a two-dimensional problem of Mode-I crack in a thermoelastic medium
In this work, we consider a two-dimensional dynamical problem of an infinite space with finite linear Mode-I crack and employ a recently proposed...
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On the spatial behavior in two-temperature generalized thermoelastic theories
This paper investigates the spatial behavior of the solutions of two generalized thermoelastic theories with two temperatures. To be more precise, we...
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Fundamental solution of thermoelasticity with two relaxation times for an infinite spherically symmetric space
We obtain the fundamental solution of thermoelasticity with two relaxation times for an infinite space which is acted upon by a spherically symmetric...
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Uniform stability of a laminated beam with structural dam** and second sound
In this work, we consider a system of laminated beams with structural dam** which describes the slip occurring at the interface of two-layered...
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Energy decay rate of transmission problem between thermoelasticity of type I and type II
In this paper, the energy decay rate of a 1-d mixed type I and type II thermoelastic system is considered. The system consists of two kinds of...
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On porous-elastic system with localized dam**
In this article, we are considering the one-dimensional equations of an homogeneous and isotropic porous elastic solid, where the localized dam**...
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State space approach to two-dimensional generalized micropolar thermoelasticity
The state space approach to two-dimensional generalized micropolar thermoelasticity has been formulated. In this formulation, the governing equations...
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On the spatial behavior in Type III thermoelastodynamics
This note is concerned with the linear (and linearized) Type III thermoelastodynamic theory proposed by Green and Naghdi. We investigate the spatial...
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Exponential decay in thermoelastic materials with voids and dissipative boundary without thermal dissipation
We study the energy decay of the solutions of a linear homogeneous anisotropic porous thermoelastic system in the context of Green and Naghdi model...
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Stability analysis of a thermo-elastic system of type II with boundary viscoelastic dam**
The stability of a kind of one-dimensional thermo-elastic system of type II is considered. This system consists of two strongly coupled wave...
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Propagation of infinitesimal thermo-mechanical waves during the finite-deformation loading of a viscoelastic material: general theory
We study the theory of propagation of infinitesimal thermo-mechanical waves in a special class of nonlinear viscoelastic materials under homogeneous...
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A thermodynamical framework for chemically reacting systems
In this paper, we develop a thermodynamic framework that is capable of describing the response of viscoelastic materials that are undergoing chemical...
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Asymptotic behavior of reflection of discontinuities in thermoelasticity with second sound in one space variable
This paper is devoted to the study of asymptotic behavior in the propagation and reflection of discontinuous solutions to linear and semilinear...
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A theory of thermoelastic diffusion materials with voids
In the first part of this paper, we derive the equations of the linear theory of thermoelastic diffusion in porous media based on the concept of...
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Thermal effects in orthotropic porous elastic beams
This paper is concerned with the linear theory of anisotropic porous elastic bodies. The extension and bending of orthotropic porous elastic...