Abstract Reflection behavior of a set of coupled longitudinal/transverse waves incident obliquely at the flat boundary surface of a nonlocal micropolar thermoelastic half-space containing voids is investigated. Appropriate boundary conditions are setup for mechanically stress-free and thermally insulated boundary surface of the half-space. The equations yielding the reflection coefficients and the

Abstract Carbon nanotubes (CNTs) have extensive biomedical applications in which a heat pulse is applied to the CNTs. The present study encompasses the novelty by focusing on the complicated effect of thermal loads and heat generation on the CNT stability with the aim of preserving and improving the stability. There is also a lack of research that evaluates the size-dependence using appropriate robust

Abstract The thermoelastic analysis is extremely important due to the highly integrated characteristics in micro- and nano-electro-mechanical systems. In this paper, thermal flux driven (TFD) and temperature gradient driven (TGD) two-phase local/nonlocal heat conduction integral models (NHCIM) are developed to describe size-dependent heat conduction. Combining TFD- and TGD-NHCIMs with strain- and stress-driven

Abstract A novel and effective method is proposed to determine the temperature and thermal stresses in the case of a finite Griffith crack lying perpendicular to the surface of an isotropic half-plane under uniform remote heat flux or a surface heat source. The surface of the half-plane and the two faces of the crack are otherwise thermally insulating and traction-free. For the heat conduction problem

Abstract The dynamic problem of thermomechanics for a bimetallic layer with plane-parallel boundaries under the action of a homogeneous nonstationary electromagnetic field has been formulated. The thermal stress state, the bearing capacity, and the contact properties of the considered layer under the action of electromagnetic pulses of microsecond duration are numerically analyzed.

Abstract Because there is no literature on the effect of thermal loadings on guided wave propagation in FG plates, the present paper is to fill the gap. In the present paper, the wave propagation analysis of porous FG plates with clamped ends in thermal environments based on first order shear deformation theory are presented. The plates are exposed to various types of thermal loading including uniform

Abstract It is well-acknowledged by the scientific community that Eringen’s nonlocal integral theory is not applicable to nanostructures of engineering interest due to conflict between equilibrium and constitutive requirements. In this paper, a well-posed two-phase nonlocal integral elasticity with the bi-Helmholtz kernel is developed to study the size-dependent buckling response of Bernoulli-Euler

Abstract In order to investigate the interactions between laser and powder particles in directional energy deposition (DED) additive manufacturing (AM), a coupled electromagnetic wave heating (EWH) model is proposed. The heat transfer reduction coefficient for the laser beam power can be calculated, and then the temperature distributions can be obtained based on the modified heat source model. A comparison

Abstract This article is intended to observe the reflection and transmission phenomena of three-dimensional plane waves at the interfaces of two distinct anisotropic triclinic media under the context of the three-phase-lag model and Green-Naghdi theory. Distinct interfaces, viz. normal stiffness, transverse stiffness, thermal contact conductance, welded contact and slip boundaries have been considered

Abstract This paper proposes a topology optimization method for a multi-physics problem considering weight minimization with compliance, stress, and temperature constraints. Two static equations for thermal and structural problems are solved. A novel topology optimization formulation, i.e., lightweight design involving compliance, stress and temperature limits, is established using the rational approximation

Abstract Closed-form expressions for temperatures and elastic thermal stresses in an infinite hollow two-material compound cylinder subject to steady-periodic sinusoidal ambient temperatures are presented, taking finite heat transfer coefficients into account. The fluctuating temperatures and stresses in the cylinder are expressed in terms of complex-valued modified Bessel functions under the assumption

Abstract The purpose of this article is to determine the effect of variable thermal conductivity and diffusivity on the transient response of thermoelastic diffusion plate in the light of two-temperature fractional-order generalized thermoelasticity. The boundary of the plate is designed as mechanical, concentration and ramp type thermal loadings on one side and rigidly fixed, insulated and impermeable

Abstract We study heat rectification by means of application of an inhomogeneous distribution of a tensile mechanical stress in: (a) graded thermoelastic systems with constant cross section; (b) non-graded thermoelastic systems with variable cross section. In both cases the thermal conductivity of the material may be partially tuned by the internal strain produced by the application of transversal

Abstract In 1968-69 Bleustein and Gulyaev discovered a new type of piezoelectric surface waves, for any material in class C6ν(6mm), having no counterpart in a purely elastic homogeneous material of the same elastic symmetry as the piezoelectric material. This discovery generated an extensive literature on the subject, with extensions to piezoelectromagnetism too. Here we study generalizations of this

Abstract This manuscript studies thermoelastic damping of a longitudinally vibrating nanorod at small-scale. The heat conduction in the present work is constructed based on the three phase-lag heat conduction model and the elastic effects are modeled using nonlocal elasticity. Isothermal and adiabatic type of thermal boundary conditions are considered in the numerical analysis. It is found that the

Abstract The well-known method of images relates the solution of the heat equation on Rn (typically n = 2 or n = 3) to the solution of the heat equation on certain spatial subdomains Ω of Rn. By reformulating the method of images in terms of a convolution kernel, two novel extensions are obtained in this paper. First, the method of images is extended from thermal problems to thermoelastic problems

Abstract The present study is concerned with the reflection phenomenon of thermoelastic plane waves at the thermally insulated stress-free surface of a homogeneous isotropic thermally conducting elastic half-space in the frame of modified Green-Lindasy (MGL) model of generalized thermoelasticity with strain rate. The thermoelastic coupling effect creates two types of coupled longitudinal waves which

Abstract In this study, the plane steady state thermoelastic frictional contact problem between a rigid cylindrical punch and a homogenous piezoelectric layer bonded to the rigid base is considered. The punch is assumed to be a perfect electric conductor and thermal insulator and slides over the piezoelectric layer with a small constant speed and heat flux is generated due to the friction. The general

Abstract The present work is concerned with the propagation of magneto-thermoelastic plane waves of assigned frequency in a homogeneous isotropic finitely conducting elastic medium permeated by a uniform magnetic field. The problem has been formulated under the purview of Green and Naghdi theory of thermoelasticity of type-III (GN-III). Interactions among elastic, thermal and magnetic fields have been

Abstract The present study is concerned with the buckling, vibration and sound transmission characteristics of the simply supported sandwich plate with trapezoidal corrugated core in thermal environment based on the hyperbolic tangent parabola shear deformation theory (HTPSDT). The displacement field of the present theory is chosen based on nonlinear variations in the in-plane displacements through

Abstract Numerical simulation of welding process in the industrial field requires flexibility, speed, and accuracy at the same time. The use of conventional 3D models in detailed simulations of multi-pass welds is time-consuming, and it often slows down the design phase of large welded structures. Shell elements are usually employed in the finite element (FE) simulation of large structures like vessels

Abstract The advanced Automated Fiber Placement (AFP) technologies allow the fiber trajectories to be curvilinearly steered over the panel platform, which brings out a novel type of cylindrical panel structure, termed as Variable Angle Tow (VAT) composite cylindrical panel. So far, the thermal postbuckling problem of VAT composite cylindrical panels under temperature loadings remain unexplored. The

Abstract In this paper, the Chebyshev collocation numerical method is developed for solving generalized thermoelasticity problems of the isotropic homogeneous two dimensional media. The coupled thermoelastic equations are derived based on Lord-Shulman (LS) and Green-Lindsay (GL) theories. The temperature and displacement fields are approximated in space domain by linear combinations of Chebyshev polynomials

Abstract In this study, we have used the concept of product-like fractal measure to analyze the fractal heat transfer in anisotropic media. This concept was introduced by Li and Ostoja-Starzewski in order to study anisotropic fractal elastic and continuum media. The theory is characterized by extended fluid, mass and heat transfer fractal equations besides the emergence of a damping heat term in the

Abstract A port-Hamiltonian formulation for general linear coupled thermoelasticity and for the thermoelastic bending of thin structures is presented. The construction exploits the intrinsic modularity of port-Hamiltonian systems to obtain a formulation of linear thermoelasticity as an interconnection of the elastodynamics and heat equations. The derived model can be readily discretized by using mixed

Abstract A general solution is derived for the thermal stresses of an infinite orthotropic plane with a hole subjected to uniform heat flux. A dislocation method is applied to solve uniform heat flux problem, in which the orthotropic thermal conductivities and coefficients of thermal expansion are considered. The dislocation functions for stress analysis are also considered. The dislocations of displacements

Abstract Size effect is a significant factor for accurate estimation of the thermoelastic damping (TED) in microplate/nanoplate resonators. The actual TED in microstructures/nanostructures is comprehensively affected by various size-dependent mechanisms in the mechanical and thermal field and studying only one of them may lead to one-sided conclusions. In this article, the governing equations of coupled

Abstract A mixed initial-boundary value problem is formulated for linear thermo-elastic relaxed micromorphic continuum with asymmetric micro-distortion tensor, micro-dislocation tensor and temperature field. First, Lagrange identity involving two admissible processes at different instants for the considered mixed initial-boundary value problem is established. Using this identity, four theorems are

Abstract In this paper the stability of a rectangular plate in a supersonic flow in the presence of a temperature field, inhomogeneous across the thickness, is investigated. The temperature field inhomogeneity across the thickness leads to the buckling of the plate, and this buckled state is considered as the initial unperturbed state. Governing equations and boundary conditions are obtained for the

Abstract Thermoelastic damping (TED) is one of the significant factor to design the high-efficiency sensors or resonators. Up to now, the single-phase-lagging (SPL) has been analyzed for the various TED models without imperfections. Practically, the perfect system cannot be available in a real structure, because imperfections are usually involved as a result of small error in a manufacturing process

Abstract This work aims to highlight, by a series of spatial estimates, the effect of the presence of pore system and local thermal non-equilibrium properties in a triple porosity material matrix on the transmission depth of a thermo-mechanical signal. Two kind of spatial behaviors are established, for which the spatial response obeys a linear first-order differential inequality with two kind different

Abstract Temperature rise caused by surface heating is responsible for thermal-related failures of heterogeneous material, such as composites and alloys, in manufacturing processes and tribology. This study presents a semi-analytical method (SAM) for temperature rise in a half plane involving dispersed inhomogeneities of arbitrary shape undergoing external heat load. Green functions and frequency response

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 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 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 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 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 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 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 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 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 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 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 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 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 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

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. Th...

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