Abstract In this work, we study an approximate problem arising in the incremental thermoelasticity. The existence of a unique solution is proved applying the theory of linear semigroups. The exponential energy decay is also considered. Then, fully discrete approximations are introduced using the finite element method and the implicit Euler scheme. A discrete stability property and a priori error estimates

Abstract A generalized electromagnetothermoelastic model with plasma wave is studied for a thin circular semiconducting medium which is subject to a time-dependent exponential order mechanical and thermal load at its boundary surfaces. The closed-form solution is obtained for the physical parameters by using the eigenvalue approach. The effects of thermoelastic and thermochemical coupling parameters

Abstract Under the remote thermal loading, the thermal stress analysis for a hypocycloid-type crack is carried out. Two kinds of thermal conditions are assumed along the hypocycloid-type crack. Among them, one is the thermal insulated condition and the other is the vanishing temperature condition along the crack face. By using the complex variable function method in conjunction with the conformal mapping

Abstract A novel carbon nanotube (CNT) thin film spherical array panel having excellent thermoacoustic performance and characteristics is proposed to generate low intensity focused ultrasound (LIFU) for noninvasive ultrasound treatment. The proposed spherical array panel has the advantages of easy fabrication, easy device driving, wide-bandwidth, and excellent controllability. A theoretical model for

Abstract Due to the advantages of high-power density, short duration, and high machining accuracy, ultrashort laser pulses are widely used in the fields of ultra-precision machining and microelectronic manufacture. In the manuscript, the L-S generalized thermoelastic diffusion theory considering the memory-dependent effect and spatial nonlocal effect is established and the thermoelastic diffusion responses

Abstract In the context of the fractional-order theory of thermoelastic diffusion, the problem of a thermoelastic infinitely long hollow cylinder is considered. The outer surface of the cylinder is taken traction free and subjected to thermal shock, while the inner surface is taken to be in contact with a rigid surface and is thermally insulated. The governing equations of the problem are formulated

Abstract A study of plane waves and fundamental solution in isotropic non-local couple stress micropolar thermoelastic solid without energy dissipation is undertaken. We observe that there exist four waves, namely, plane longitudinal wave, thermal wave and a set of two coupled transverse waves with different phase velocities. The penetration depth, specific loss, attenuation coefficient and phase velocity

Abstract This article deals with thermal free vibration analysis of functionally graded material (FGM) plates and panels using an improved first-order shear deformable (I-FSDT) shell model. The Effective material properties of the FGMs are estimated according to a power law distribution with temperature dependency. The FGM structure can be subjected to uniform or nonlinear temperature rise. The results

Abstract Thermoelastic damping is a prominent internal dissipation mechanism in small-scale mechanical resonators. It has been given a lot of attention recently due to the endeavors to design high-quality nanoelectromechanical systems. In the article, this phenomenon is analyzed for in-plane vibration of orthotropic and isotropic nanoplate resonators using coupled nonlocal heat conduction and nonlocal

Abstract This paper proposes a new general framework of higher-order shear deformation theory (HSDT) and solves the structural responses of the functionally graded (FG) plates using novel exponential shape functions for the Ritz method. Based on the fundamental equations of the elasticity theory, the displacement field is expanded in a unified form which can recover to many different shear deformation

Abstract A nonlinear analysis on the thermal-mechanical coupling bending behavior of functionally graded porous curved micro-tubes is performed in this research. The case of curved micro-tubes with doubly-clamped boundary conditions resting on nonlinear elastic foundation is considered. Based on the modified couple stress theory, curved micro-tubes under uniformly distributed transverse pressure and

Abstract Microwave technology is increasingly used in laboratory tests and field applications as an effective rock breaking technique. The underlying mechanism of rock fracturing induced by microwave energy, however, has not been well addressed. In this study, we employ experimental and numerical methods to investigate the global and local damage of rock in microwave radiation direction, including

Abstract Mathematical analysis is performed to examine the reflection and transmission phenomena of plane waves at the corrugated interface of crystalline structure separating two distinct monoclinic thermoelastic media. Analysis of this phenomena is achieved adopting classical dynamic coupled, Lord–Shulman, and Green–Lindsay theories. Using Rayleigh’s methods, the expressions of reflection and transmission

Abstract Mathematical analysis is performed to examine the reflection and transmission phenomena of plane waves at the corrugated interface of crystalline structure separating two distinct monoclinic thermoelastic media. Analysis of this phenomena is achieved adopting classical dynamic coupled, Lord–Shulman, and Green–Lindsay theories. Using Rayleigh’s methods, the expressions of reflection and transmission

Abstract The interest in the gradient theory of elasticity is stimulated by the fact that this theory is adequate to investigate important problems related to size effects and nanotechnology. In this paper, we use the theory of microstretch solids and the Green-Naghdi theory of thermomechanics of continua to derive a linear strain gradient theory of porous thermoelastic bodies, which is capable of

Abstract The plane steady-state thermoelastic receding double contact problem between a rigid cylindrical punch and a homogenous layer lying on a half plane is investigated in this paper. The frictional rigid insulated punch slides over the layer with a constant velocity and heat flux is generated due to the friction. The speed of the punch is taken so small that the inertia effects may be neglected

Abstract In this article, the Chebyshev collocation numerical method is developed for solving generalized thermoelasticity problems of the isotropic layer. The coupled thermoelastic equations are derived based on Lord-Shulman (LS), Green-Lindsay (GL) and Green-Naghdi (GN) theories. Two kinds of shock loading are considered. In the first model, a temperature shock is applied at the left side of the

Abstract A study of plane waves and fundamental solution in isotropic non-local couple stress micropolar thermoelastic solid without energy dissipation is undertaken. We observe that there exist four waves, namely, plane longitudinal wave, thermal wave and a set of two coupled transverse waves with different phase velocities. The penetration depth, specific loss, attenuation coefficient and phase velocity

Abstract Thermoelastic damping is a prominent internal dissipation mechanism in small-scale mechanical resonators. It has been given a lot of attention recently due to the endeavors to design high-quality nanoelectromechanical systems. In the article, this phenomenon is analyzed for in-plane vibration of orthotropic and isotropic nanoplate resonators using coupled nonlocal heat conduction and nonlocal

Abstract Propagation of Rayleigh waves is considered in an isotropic thermoelastic semi-infinite medium with isothermal or insulated boundary. This requires to solve an irrational complex equation for an implicit complex velocity. A complex analysis technique is used to solve this implicit equation so as to derive an explicit expression for the velocity of the Rayleigh wave in thermoelastic materials

Abstract In this work, the Caputo Fabrizio definition of fractional derivative is utilized to explore a problem in thermoelasticity with fractional theory. The problem regards an infinite elastic space under the impact of an uninterrupted heat point source. The method of asymptotic expansions is used to find the inverse Laplace transform valid for short times. A summarized discussion about the behavior

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 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 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 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 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 This study deals with the interactions between a central crack and two symmetrically situated collinear Griffith cracks in an infinite functionally graded medium under thermo-mechanical loading. These Griffith cracks are partially insulated. The considered medium is a non-homogeneous isotropic elastic one. The Fourier sine and cosine transforms are used to solve the elasticity and heat conduction

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 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