Abstract In this paper, the governing equations of a rotating orthotropic magneto-thermoelastic half-space with diffusion are formulated in the context of Lord-Shulman's theory of generalized thermoelasticity. The plane wave solutions of these equations indicate the existence of four quasi-planar waves namely quasi-longitudinal displacement (qLD) wave, quasi-thermal (qT) wave, quasi-mass diffusion

Abstract Changes of the insulation performance and deformation characteristics caused by temperature in the external thermal insulation system (ETICS) have a significant influence on its energy-saving effect. In this paper taking into account the temperature-dependence thermal material properties, the thermal contact resistance at the interface, and the elastic wave impedance, a bilayered structure

Abstract The purpose of this study is to analyze a circular annulus made of a functionally graded material (FGM) subjected to thermomechanical loading. The governing nonlinear differential equation for heat transfer, comprising of all the modes of heat transfer, such as conduction, convection, radiation, and internal heat generation, was formulated and then solved using the homotopy perturbation method

Abstract In this study, Dual Horizon Peridynamics formulation is presented for thermal diffusion analysis. Lagrangian formalism is utilized to derive the governing equations. The proposed formulation allows utilization of variable discretization and horizon sizes inside the solution domain which can result in significant benefits in terms of computational time. To demonstrate the capability of the

Abstract We explore the analysis of exact three-dimensional free vibrations of visco-thermoelastic solid cylinder, which has been considered at a uniform temperature and undeformed initially in the framework of generalized thermoelasticity. The formulation has been implemented with two relaxation time parameters, i.e., mechanical and thermal relaxation parameters. The series solution has been implemented

Abstract The energy conversion efficiency of thermoelectric systems can be greatly improved via the process known as “hole-doping” in which small-scale holes are introduced into constituent thermoelectric materials. However, the associated thermal stress induced by the introduction of the holes is known to be one of the main factors contributing to failure of the thermoelectric system. In this paper

Abstract Analysis of transient thermoelastic temperature distribution of a thin circular plate and its thermal deflection under uniform internal heat generation is investigated. The upper and lower surfaces are thermally insulated, while the perimetric surface is subjected to convection heat transfer with convection coefficient hc and fluid temperature T ∞ , while the plate is also subjected to uniform

Abstract Safety gear is one of the most important devices of elevators for its core function is to brake the over-speed cabin with friction. The frictional braking of elevator safety gear is a fully coupled thermo-mechanical process, and therefore both the thermal performance and the mechanical properties during braking should be comprehended for the tribological design of a high-speed elevator safety

Abstract The thermoelasticity problem of a coated polygonal hole subject to a point heat source is investigated herein. Based on conformal mapping, analytic continuation theorem, and alternation, temperature functions are obtained for any number of edges of a coated polygonal hole, while stress functions are obtained for a coated approximate triangle hole and a coated approximate square hole. Solutions

Abstract The propagation and stability (Whitham’s criteria) of harmonic plane waves are described in the context of the hyperbolic two-temperature generalized thermoelasticity in which heat conduction in deformable bodies depends upon the difference between the double derivative of conductive and dynamic temperature. The exact dispersion relation solutions for the longitudinal plane wave are derived

Abstract A study on radial vibrations of functionally graded, isotropic, thermoelastic, thick-walled hollow sphere due to a thermal load has been carried out in the context of non-Fourier law of heat conduction (LS model). The material and thermal parameters have been assumed to vary according as simple power-law function of the radial coordinate. Closed-form solution to the problem has been derived

Abstract The response of a disk made from a heterogeneous material within the framework of Lord-Shulman theory is investigated in this article. The theory admits a single relaxation time to avoid the infinite speed of temperature wave. It is assumed that all of the thermomechanical properties except for Poisson ratio and thermal relaxation time vary exponentially through the radial direction of the

Abstract This article presents a numerical model based on shear deformation theory in conjunction with Eringen’s nonlocal theory to investigate the thermo-elastic vibration behavior of bi-directional functionally graded nonuniform thick nanobeams supported on Pasternak's foundation. These beams are subjected to nonlinear temperature field along the thickness and uniform in-plane loading. Two directional

Abstract In this paper, we study the plane thermoelastic problem of an infinite matrix containing two interacting inclusions of arbitrary shapes for a uniform heat flux applied on the matrix remotely. We propose a numerical scheme for calculating the temperature and stress fields in the inclusion-matrix system by using the principle of superposition and the Faber series method. A group of numerical

Abstract The aim of the present article is to study the propagation of Rayleigh surface waves in homogeneous transversely isotropic medium. The problem is considered under the purview of three-phase-lag model in an initially stressed magneto-thermoelastic half-space. Normal mode analysis is employed to the considered equations and eigenvalue approach is used to obtain the expressions for the displacements

Abstract The present paper constructs a new theory of two-temperature generalized thermoelasticity based on thermomass motion consideration. The governing equations of the theory are formulated for heterogeneous, anisotropic, and homogenous materials. Moreover, the uniqueness theorem of the equations of the new theory is proved. The theory based on the motion of thermomass predicts the propagation

Abstract This article presents a technique for analytic-numerical evaluation of thermal stresses in a finite-length hollow cylinder subject to a steady-state temperature field. Based on the method of direct integration, the formulated thermoelasticity problem is reduced to solving a governing equation for an individual key function, while all the stress-tensor components are expressed through this

Abstract Ablation dynamics focusing exclusively on the thermal field without also considering electron emission and thermal stress is incomplete. The thermo-elasto-plastodynamic model developed in Part I of the paper is applied to estimate non-thermal ablation and the onset of fracture in a polycrystalline gold material in response to ultrafast irradiation of low fluence. Non-thermal ablation in the

Abstract Ultrafast laser-induced ablation is a complex function of many coupled parameters including laser intensity, pulse duration, optical wavelength, material thermophysical properties, and grain size. The predominant belief is that ultrafast laser ablation involves either heterogeneous or homogeneous nucleation that results in rapid phase transition or the material been superheated. However, surface

Abstract A two-temperature model, which is fully compatible with the Maxwell-Cattaneo heat-conduction theory, is developed. It allows to account for different heat carriers’ temperatures, as well as for their mutual energy exchange. Its physical consistency is proved by means of the second law of thermodynamics. The propagation of phonon- and electron-temperature waves is also analyzed, and the results

Abstract This article is concerned with the coupled linear quasi-static theory of thermoporoelasticity under local thermal equilibrium. The system of equations of this theory is based on the constitutive equations, Darcy’s law of the flow of a fluid through a porous medium, Fourie’s law of heat conduction, the equations of equilibrium, fluid mass conservation and heat transfer. The system of general

An explicit formula of coupled three-phase-lag (TPL) thermoelasticity theory under the Timoshenko beam is constructed for microbeam resonators. The constructed mathematical model is based on the modified couple stress theory which implies a prediction of size-dependent effects in microbeam resonators. By using Hamilton’s principle, governing equations for motion and boundary conditions are derived

Constitutive relations and field equations are developed for an isotropic linear micropolar thermoelastic material with voids within the context of Eringen’s theory of nonlocal elasticity. It is found that six plane waves may propagate in this medium consisting of four sets of coupled dilatational waves and two sets of coupled transverse waves. All the waves are found to be affected by the nonlocality

The purpose of this article is to analytically investigate the three-dimensional thermoelastic fields in a semi-infinite medium weakened by an annular crack. The crack faces are exposed to a prescribed temperature load and the external surface of the medium is kept at the reference temperature. The problem is formulated as a three-part mixed boundary value problem and is treated through Goodier’s thermoelastic

In this work, we study from the mathematical and numerical points of view a poro-thermoelastic problem. A long-term memory is assumed on the heat equation. Under some assumptions on the constitutive tensors, the resulting linear system is composed of hyperbolic partial differential equations with a dissipative mechanism in the temperature equation. An existence and uniqueness result is proved using

The present article investigates a thermo-viscoelastic laminated beam system, where the heat conduction is given by Maxwell–Cattaneo’s law (popularly known as second sound). We establish explicit and general stability results for the solution energy in the case of equal-speed propagation and nonequal speed. Our results contain the exponential and polynomial decay as particular cases. We also present

We find restrictions on the relaxation functions of thermo-electro-viscoelastic materials. This is achieved within an extension of the Green–Naghdi theory for thermoelasticity, which uses the energy equation to exploit constitutive equations. These restrictions extend the results previously found for thermo-viscoelastic materials and for the classical infinitesimal theory of viscoelasticity.

In the present study, thermoelastic analysis of laminated composite and sandwich shells (cylindrical/spherical) is presented using fifth-order shear and normal deformation theory. The significant characteristic of the present theory is that it includes the effects of both transverse shear and normal deformations. The mathematical formulation uses the principle of virtual work to derive the variationally

As an important supporting structure in underground engineering, the lining is continuously exposed to harsh environments, such as high temperature and shock. This study takes lining and soil as the thermoelastic mediums of the Lord–Shulman model to investigate the transient responses of a cylindrical lining in thermoelastic mediums under the action of ramp-type heating. By considering the effects

This article constructs a new model of nonlocal thermoelasticity which resolves a dynamical problem of a homogeneous, isotropic infinite space weakened by a finite linear mode I crack. The boundary of the crack is being subjected to a prescribed temperature distribution and stress. In the context of three-phase lag model of generalized thermoelasticity, the governing equations have been solved employing

In this article, we study a porous-elastic system with dissipation only due to microtemperatures effect. We introduce a new stability number and prove that the unique dissipation due to the microtemperatures is strong enough to drive the system to the equilibrium state in an exponential manner. This result is new and improves previous results in the literature.

Nonlinear vibration of nanobeams embedded in the linear and nonlinear elastic materials under magnetic and temperature effects is investigated in this study. Von Karman’s strain–displacement relation is applied to a nonlocal Euler–Bernoulli beam model. Equation of motion is derived using Hamilton’s principle. Galerkin’s method is applied to decompose the nonlinear partial differential equation into

(2020). Comment on the paper “On thermoelastic problem of a thermosensitive functionally graded rectangular plate with instantaneous point heat source, V. R. Manthena, G. D. Kedar, Journal of Thermal Stresses, 2019, Vol. 42, No. 7, 849-862”. Journal of Thermal Stresses: Vol. 43, No. 10, pp. 1333-1334.

(2020). Correction to: “On thermoelastic problem of a thermosensitive functionally graded rectangular plate with instantaneous point heat source” by V. R. Manthena, G. D. Kedar, Journal of Thermal Stresses, vol. 42, issue 7, pp. 849-862, 2019. Journal of Thermal Stresses: Vol. 43, No. 10, pp. 1335-1336.

A finite element model for the effect of wear on thermoelastic instability (TEI) is developed by combining the equations of thermoelasticity, the classical wear law, along with the conforming contact conditions. The method is based on a two-dimensional, frictional sliding model with a bimaterial interface and a simplified geometry of finite thickness. An assumption of the solution in the perturbation

Abstract A finite element model for the effect of wear on thermoelastic instability (TEI) is developed by combining the equations of thermoelasticity, the classical wear law, along with the conforming contact conditions. The method is based on a two-dimensional, frictional sliding model with a bimaterial interface and a simplified geometry of finite thickness. An assumption of the solution in the perturbation

Constitutive relations and field equations are developed for an isotropic linear micropolar thermoelastic material with voids within the context of Eringen’s theory of nonlocal elasticity. It is found that six plane waves may propagate in this medium consisting of four sets of coupled dilatational waves and two sets of coupled transverse waves. All the waves are found to be affected by the nonlocality

In this work we study, from the numerical point of view, a thermoelastic problem involving a microstretch plate. The variational problem is written as a linear system composed of parabolic equations written in terms of the velocity field, the microrotations speed, the microstretch speed and the temperature. Then, a fully discrete approximation is introduced by using the finite element method and an

The present study is concerned with the reflection of magneto-thermoelastic plane waves from stress free and thermally insulated surface in a homogeneous isotropic thermally conducting elastic half-space medium. The modified Green–Lindsay (MGL) theory of generalized thermoelasticity has employed with two temperatures (2 T). The thermoelastic coupling effect creates two types of coupled longitudinal

The present article investigates a new mathematical model of generalized thermo-viscoelasticity based on memory-dependent derivative in the context of three-phase-lag heat transfer subjected to an instantaneous point heat source. The governing coupled equations associated with kernel function and time delay are constituted for a two-dimensional problem of semi-infinite space in an isotropic medium

In this study, the fractional model of thermo-viscoelasticity theory with variable thermal conductivity and rheological properties of the volume is considered to investigate bio-thermo-mechanics behavior in living tissue. The model is applied to a problem of cancerous layer with arbitrary thickness and its outer surface traction free. The bounding plane of the cancerous tissue is subjected to two different

The present study aims to provide a deeper understanding for the transient thermal stress distributions of an annular fin made of FGM. The material properties of annular fin are assumed to be graded along the fin radius as a power-law function while the Poisson’s ratio is taken to be constant for simplicity. The energy balance equation is solved on Laplace domain by using exponential like solution

In this work a spherical thermoelastic region problem with a permeating substance in contact of the bounding plane is considered in the context of the theory of generalized thermoelastic diffusion with one relaxation time. The general solution is obtained in the Laplace transform domain by using a direct approach without the use of potential functions. The resulting formulation is used to solve problem

In many practical problems, a body is subjected to a thermal load and experience a temperature change. In some cases, the temperature change can be very high and it would be better to consider thermal and mechanical properties as a function of temperature whereas in many cases, temperature-dependent thermal and mechanical properties are unknown. In this article, an inverse method is presented for identification

This paper presents an axisymmetric problem of two-dimensional finite hollow cylinder with the fractional order derivative of order 0<α≤2 occupying the space D={(x,y,z)∈R3:a≤r≤b,−h≤z≤h}. Convection boundary conditions are applied on the curved surface of cylinder and heat sources are generated as a linear function of temperature. The analytical solution for temperature, displacement, and thermal stresses

This paper presents an axisymmetric problem of two-dimensional finite hollow cylinder with the fractional order derivative of order 0<α≤2 occupying the space D={(x,y,z)∈R3:a≤r≤b,−h≤z≤h}. Convection boundary conditions are applied on the curved surface of cylinder and heat sources are generated as a linear function of temperature. The analytical solution for temperature, displacement, and thermal stresses

In many practical problems, a body is subjected to a thermal load and experience a temperature change. In some cases, the temperature change can be very high and it would be better to consider thermal and mechanical properties as a function of temperature whereas in many cases, temperature-dependent thermal and mechanical properties are unknown. In this article, an inverse method is presented for identification

This article proposes two effective stabilizing control schemes for addressing the stress constrained thermo-elastic topology optimization in a non-uniform temperature field. Based on the density interpolation scheme, two linear elastic equations for coupling a thermo-elastic problem are considered. For comparison, different topology problem formulations for minimizing compliance or volume subject

A novel modification for Green and Naghdi thermoelasticity model of type III is proposed in this article. This model is joined to other ones to treat a thermoelastic wave propagation problem in an annular disk. The closed-form solution of thermoelastic analysis of the annular disks has been presented to deduce temperature, radial displacement, dilatation and stresses. Results are illustrated and reported

The thermoelastic problem of a stretchable rigid line inhomogeneity at a bimaterial interface is considered. The closed-form solution is presented and the explicit expressions of the stress at the tip of the rigid line inhomogeneity are derived. The effects of thermal expansion of rigid line on the stress intensity factors are investigated. It is found that the singularity of stress maintains the same

In this work, the coupling phase change heat transfer process and thermal stress behavior of biological tissue during cryosurgery are studied in the context of a generalized thermoelastic theory. The nonlinear governing equations are constructed while considering the variable thermal properties and solved by a time-domain finite element method based on the effective heat capacity formulation. A 2-D

In this article, the constitutive relations and the governing equations are derived for nonlocal thermoelastic solid in the presence of diffusion. The free vibration of a thermoelastic diffusive cylinder is investigated within the framework of the above newly derived model. Time-harmonic vibration is used to transform the governing equations into a system of ordinary differential equations. The frequency

Present analysis is concerned with the propagation of plane waves in an initially stressed magneto-thermoelastic half-space with microtemperatures and voids. It is noticed that there exist four kinds of coupled dilatational waves in addition to shear and microtemperature waves in such type of medium. Using appropriate boundary conditions, the amplitude and energy ratios for the reflected waves have

In this paper, the fracture problem of an axisymmetric crack in a functionally graded thermal barrier coating (FGTBC) bonded to a homogeneous substrate is considered. The problem is solved for the laminate that is suddenly heated from the upper surface of the FGTBC. The bottom surface of the homogeneous substrate is maintained at the initial temperature. The crack faces are supposed to be completely

This work is devoted to studying a direct and inverse scattering problem by an elliptical void in a thermoelastic layer subjected to a dynamic load. In the context of the linear theory of thermoelasticity, coupled boundary integral equations, in terms of the displacement field and temperature over the contour of the void, are formulated. By measuring the surface oscillations, over a finite-length interval

The current article is concerned with the investigation of the formation of the time-dependent three-dimensional distributions and redistributions of the stress and displacement fields of the rotating annular and circular plates/disks under the nonuniform distributions of the dynamic thermomechanical loads or shocks. Redistribution of the stress and displacement fields happens due to the Gerasimov-Caputo-type

Based on the frame of elastic theory for unsaturated porous medium, considering the influence of the thermal effect, the effects of the tortuosity of fluid phases on the phase velocity of Rayleigh wave in unsaturated porous media are studied. Firstly, the thermoelastic wave equations for three-phase porous media are established by taking into account the effect of the tortuosity of fluid phases. Secondly

The motive of the present work is to establish some theorems under a recent theory of thermoelasticity proposed by Shivay and Mukhopadhyay (2019). The governing equations for the temperature-rate dependent two-temperature (TRDTT) thermoelasticity theory were stated by Youssef (2006). Shivay and Mukhopadhyay (2019) employed generalized thermodynamics laws and presented a modified TRDTT thermoelasticity

Nowadays, a multilayered viscoelastic composite structure stands as one of the most representative active/passive vibration isolator and high-efficient damper to avoid unwanted vibrations in civil and ocean engineering, which is commonly applied in harsh non-uniform temperature environment (e.g., high heat-flux, drastic changes of temperature, etc.). In such a case, thermoviscoelastic response analysis

The residual stresses (RSs) generated from partial penetration repair welding of a specimen extracted from the 4th stage vane of a gas turbine replace studied. The RSs are maximum in the heat-affected zone, beneath the weld along the weld center at the specimen mid-section. The RS field tends to exhibit over a large volume beneath the weld bead where severe restraint conditions exist in the repair