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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, ...

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 tr...

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 framewor...

An exact solution of a thermal shock for a circular cylinder is presented. A refined multi-dual-phase-lag generalized thermoelasticity model is proposed. The application of initial conditions witho...

The characteristics of thermally induced failure are investigated for a hollow circular cylinder exposed to a convective cooling at the inner surface. The transient fields of both temperatu...

This article deals with the study of three-dimensional vibrations in stress free as well as rigidly fixed, thermally insulated (or isothermal), homogeneous transversely isotropic solid cyli...

The accurate description of the interactions of temperature, concentration and strain fields is of great importance for the fabrication of micro/nano-electromechanical devices. This article aims to conduct an analytical study of transient responses of a hollow cylinder under thermal and chemical shock in the context of generalized diffusion–thermoelasticity with memory-dependent derivative. The outer surface of the cylinder is assumed to be traction free and subjected to transient thermal and chemical shock loadings, while its inner surface is taken to be in contact with a rigid surface and is thermally isolated. The governing equations are obtained and solved by using Laplace transformation methods. The dimensionless results of temperature, chemical potential, displacement, stress, concentration, heat flux, and diffusion flux along the radial direction of the cylinder are obtained and illustrated graphically. Parametric studies are also performed to evaluate the influences of time delay and kerne...

In this article, an analytical solution is presented to evaluate the stress field in axisymmetric double-walled cylinder made of functionally graded materials (FGMs) and homogeneous layers ...

A general solution technique for non-axisymmetric thermoelectroelastic problems in cylindrical domains with D∞ symmetry is constructed. The displacement and electric field are expressed in terms of the respective potential functions, and the thermoelectroelastic field quantities are expressed in terms of the elastic and piezoelastic potential functions, each of which essentially satisfies a Laplace equation with respect to the spatial coordinates, combined with the two thermoelastic displacement potential functions. As an application of the technique, the theoretical analysis of a solid cylinder subjected to combined mechanical and thermal loading is performed, and the necessity of the thermoelectroelastic analyses is demonstrated.

A problem on the identification of time-dependent temperature on one of the limiting surfaces of a radially inhomogeneous hollow cylinder is formulated and solved under the temperature and radial displacement given on the other limiting surface. The analysis of temperature and thermal stress distribution in the cylinder is performed. The solution has been constructed by the reduction to an inverse thermoelasticity problem. By making use of the finite difference method, a stable solution algorithm is suggested for the analysis of inverse problem. The solution technique is verified numerically by making use of the solution to a relevant direct problem. It is shown that the proposed technique can be efficiently used for the identification of a heat flux or unknown parameters (the surrounding temperature or the heat-exchange coefficient) in the third-kind boundary conditions.

A coupled fractional hygrothermoelasticity theory is formulated within the framework of fractional calculus. Both the classical Fourier’s and Fick’s laws are generalized to anomalous diffusion which is characterized by the time- fractional diffusion-wave equation. Based on the fractional hygrothermoelasticity theory, the transient response of an infinitely long cylinder subjected to hygrothermal loadings at the surface is analyzed. The finite Hankel integral transform method and decoupled technique are used to derive closed-form expressions for temperature, moisture, displacement, and hygrothermal stresses in the solid. The coupling effect of temperature and moisture on elastic fields is discussed. Numerical results of transient response of hygrothermoelastic fields are presented graphically for the cases of subdiffusion, normal diffusion, and superdiffusion, respectively.

Thermoelastic analysis of a functionally graded cylinder under nonsymmetric thermal and mechanical loadings subjected to uniform magnetic field is presented in this article. All material properties are assumed to be variable along the thickness direction based on the power law. Due to nonsymmetric thermal and mechanical loadings and boundary conditions, a two-dimensional displacement field along the radial and circumferential directions is assumed for our analysis. The complex form of Fourier series is used as the method of solution. The nonsymmetric analysis of this problem for Lorentz force leads to radial and circumferential force components. The obtained results of this analysis indicate that the different parameters of material and loading have a considerable effect on the nonsymmetric behavior of cylinder.

The general solution of steady-state asymmetric mechanical and thermal stresses of a hollow thick cylinder made of fluid-saturated functionally graded porous piezoelectric materials based on two-dimensional equations of thermoelasticity is considered. The general form of thermal and mechanical boundary conditions is considered on the inside and outside surfaces. A direct method is used to solve the heat conduction equation and the nonhomogeneous system of partial differential Navier equations, using the complex Fourier series and the power law functions method. The material properties are assumed to depend on the radial and circumferential variables and are expressed as power law functions along the radial and circumferential direction.

Two-dimensional thermoelastic analysis of functionally graded thick-walled cylinder is investigated under thermal and mechanical loadings and based on the Pasternak foundation. The first-order shear deformation theory is used to describe the displacement field. Fundamental governing differential equations of system are obtained by energy method and Euler equations. Effect of gradation of material properties and Pasternak foundation parameters are considered as important results of this study. The obtained results indicate that the end supports have considerable effect on the longitudinal distribution of components. Furthermore, it can be concluded that with increasing the non-homogeneous index, both radial and axial displacements decreases.

In this article, thermoviscoelastic dynamic behavior of a double-layered cylinder with a thermal barrier coating under radially symmetric mechanic and thermal loadings is investigated. The double-layered hollow cylinder is constructed of a viscoelastic layer and a homogenous layer, and the cylinder is subjected to thermal shocking. The material parameters of the cylinder are assumed to be temperature-dependent. The governing equation of the motion of the double-layered hollow cylinder under both dynamic mechanical and thermal loads is obtained based on the plane-stain theory, meanwhile, the transient heat transfer problems are solved by the finite difference method (FDM), Newmark method (NM), and iterative method. Numerical results show that mechanical load, boundary conditions, temperature field and whether considering the viscoelasticity of the inner layer each have a great influence on the dynamic behavior of the double-layered hollow cylinder.

This paper deals with the two-dimensional, non-homogeneous boundary value problem for static, isotropic and thermoelastic material occupying an infinitely long cylinder with a rectangular cross-section. The cylinder is surrounded by a given temperature and subjected to variable pressures at its boundaries. We deal with static, uncoupled, linear thermoelasticity. The equations of heat conduction and mechanical problem are considered separately. The technique of the finite Fourier transform is used for the solution. The thermoelastic behavior, due to an internal heat generation within the domain, is discussed. The results for displacement and stresses have been computed from the Airy stress function and are illustrated graphically.

The conditions of single-valuedness of rotation and displacements in the multiply connected regions for non-homogeneous materials are discussed theoretically by using the stress function. As an example of a multiply connected region, we have considered the steady thermal stresses in a functionally graded hollow circular body with an eccentric outer circular boundary. The material properties are expressed by the power law of the radius of the inner circle. The inner boundary conditions are satisfied strictly, whereas the outer boundary conditions are satisfied numerically using a point-matching method. Steady thermal stresses in the body are shown for ZrO2/Ti-6Al-4 V functionally graded materials (FGMs). The results were verified by comparing with those of a functionally graded hollow circular cylinder.

Stress characterization of non-isothermal elastodynamics for an anisotropic nonhomogeneous infinite cylinder under plane strain conditions is presented. The cylinder is referred to the Cartesian coordinates x i (i = 1, 2, 3) in which the axis of the cylinder is parallel to the x 3-axis and a cross-section of the cylinder at x 3 = 0, denoted by C, is a domain of the time-dependent stresses S ij = S ij (x α, t), [i, j = 1, 2, 3; α = 1, 2; x α ∈ C; t ≥ 0]. The density of the cylinder ρ, the compliance tensor K ijkl [i, j, k, l = 1, 2, 3], and the stress-temperature tensor M ij depend on x 2 only, while a thermomechanical load that complies with the plane strain conditions, depends on (x 1, x 2) ∈ C and time t ≥ 0 only. It is shown that S ij = S ij (x α, t) is generated by a unique solution S αβ = S αβ(x γ, t), [α, β, γ = 1, 2; t ≥ 0] to a pure stress initial-boundary value problem of nonisothermal elastodynamics on C × [0, ∞), and the in-plane stress components generate the out-of plane stress components...

This paper reviews the spatial behavior of the amplitude of the steady-state vibrations in an anisotropic and homogeneous thermoviscoelastic porous beam. Here, we take into account the effects of the viscoelastic and thermal dissipation energies upon the corresponding harmonic vibrations in a right cylinder made of an anisotropic thermoviscoelastic porous material. In fact, we prove that the positiveness of the viscoelastic and thermal dissipation energies is sufficient for characterizing the spatial decay and growth properties of the harmonic vibrations in a cylinder, without any limiting restriction upon their frequencies.

This article presents the transient thermoelastic analysis in a long solid cylinder with a circumferential crack using the C–V heat conduction theory. The outer surface of the cylinder is subjected to a sudden temperature change. The Laplace transform technique is adopted to solve the one-dimensional hyperbolic heat conduction equation, and the axial thermal stress is obtained for the un-cracked cylinder in the Laplace domain. Then this axial thermal stress with a minus sign is applied to the crack surface to form a mixed boundary value problem in the cylindrical coordinate system. A singular integral equation is derived by applying the Fourier and Hankel transforms to solve the mode I crack problem. The transient thermal stress intensity factors are obtained by solving the singular integral equation numerically. The influences of thermal relaxation time, crack geometry, and Biot's number upon transient temperature distributions, axial stress fields, and stress intensity factors are analyzed.

Analytical solutions for thermal stresses (radial, tangential, and axial) in a hollow cylinder with uniform internal heat generation for the thermal boundary condition of convective heating on the inside surface and convective cooling on the outside surface are derived. The analysis assumes the ends of the cylinder to be clamped, the axial strain to be negligible, and the radial stresses on the inside and the outside surfaces to be zero. Results are presented to illustrate the effects of internal heat generation parameter Q, convective environment temperatures ratio θ*, Biot number for convection on the inside surface Bi 1, Biot number for convection on the outside surface Bi 2, and the radii ratio ρ on thermal stresses distribution in the cylinder. The analytical solutions should serve as benchmarks for validating the numerical codes for dealing with more complicated cases.

In this article, dynamic thermoelastic behavior of a double-layered cylinder with an FGM layer under mechanical and thermal loadings are investigated. The double-layered hollow cylinder is constructed by an FGM layer and a homogenous layer. Utilizing the Finite difference method and Newmark method, the governing equation of the double-layered hollow cylinder under both dynamic mechanical and thermal loads is solved. The accuracy of the approach is validated by comparing the results with the existing analytical ones. Numerical results show that volume exponent of the FGM layer, the thickness ratio of two layers and temperature change have significant effect on the dynamic behaviors of the double-layered hollow cylinder.

A least-squares method is employed for displacement control of a composite cylinder consisting of a thermoelastic inner layer in contact with a piezothermoelastic outer layer. The inside surface of the composite cylinder is subject to a prescribed axisymmetric ambient temperature. A solution is obtained for the uncontrolled thermally-induced elastic and electrostatic responses throughout the cylinder. Next the voltage applied to the cylinder's outer surface needed to suppress the radial displacement in a least-squares sense is found, and the resulting controlled responses are determined. Both stationary and transient situations are considered. Numerical results are calculated and compared with those obtained using a computer algebra system and Laplace transform analysis.

The main objective of this article is focused on stochastic analysis of wave propagation and effects of uncertainty in mechanical properties on transient behaviors of displacement and temperature fields in functionally graded materials under thermo-mechanical shock loading. The problem is studied in a cylindrical domain and the governing equations of a functionally graded thick hollow cylinder are solved. To assess the wave propagation, the generalized coupled thermoelasticty equations based on Green-Naghdi theory (without energy dissipation) are analyzed in a FG thick hollow cylinder. The FG cylinder is considered to have infinite length and axisymmetry conditions. The constitutive mechanical properties of FGM are assumed as random variables with Gaussian distribution and also the mechanical properties are considered to vary across thickness of FG cylinder as a nonlinear power function of radius. The FG cylinder is divided into many elements across thickness of cylinder and hybrid numerical method (Galer...

The present paper introduces a further investigation in the Saint-Venant's principle for thermoelastic bounded bodies by taking into account the two-temperature model. The spatial decay estimates for the total energy in a homogeneous anisotropic thermoelastic bounded region are approved. The exponential decay for quasi-work cross-sectional measure in a homogeneous isotropic right thermoelastic cylinder is established.

In the present paper we consider a prismatic cylinder occupied by an anisotropic homogeneous compressible linear thermoelastic material that is subject to zero body force and heat supply and zero displacement and thermal displacement on the lateral boundary. The motion is induced by a harmonic time–dependent displacement and thermal displacement specified pointwise over the base. We establish some spatial estimates for an appropriate cross–sectional measure associated with the amplitude of the corresponding harmonic vibration in the high frequency range that describe how the amplitude evolves with respect to the axial distance to the excited base. In fact, in the high frequency range we establish certain algebraical estimates that predict decay or growth slower than that for the low frequency range.

We investigate the dynamic and quasi-static behavior of magneto-thermo-elastic stresses induced by a transient magnetic field in a conducting hollow circular cylinder. A transient magnetic field defined by an arbitrary function of time acts on the outer surface of the hollow cylinder and parallel to it. The fundamental equations of plane axisymmetrical electromagnetic, temperature and elastic fields are formulated, and solutions for the magnetic field, eddy current, temperature change and dynamic and quasi-static solutions for stresses and deformations are analytically derived in terms of the arbitrary function. The stress solutions are determined to be sums of a thermal stress component caused by eddy current loss and a magnetic stress component caused by the Lorentz force. The case of a magnetic field defined by a smoothed ramp function with a sine-function profile is examined in particular, and the dynamic and quasi-static behavior of the stresses and deformations are numerically calculated.

An inverse problem of a radially polarized piezoelectric hollow circular cylinder of crystal class 6 mm is investigated. It is assumed that a voltage induced by the action of a time-varying temperature applied to the inner surface of the cylinder is measured on the outer surface. The inverse problem entails a determination of the heating temperature from knowledge of the measured voltage. First, an exact solution to the problem is found by solving the equations of equilibrium and electrostatics for the cylinder subject to the prescribed boundary conditions. Then a least-squares residual method that incorporates Lagrange multipliers for satisfaction of the boundary equations is employed to derive an approximate analytic solution. Both formulations are utilized in order to calculate the unknown heating temperature, and the corresponding temperature, displacement and stress fields in a cylinder of cadmium selenide. Numerical results based upon the least-squares residual formulation are found to compare favor...

Thermoelastic problems in a functionally graded hollow circular cylinder are analyzed. The material properties of the cylinder are assumed to vary arbitrarily along the radial direction. A new, effective and simple method is presented for gaining the response of the temperature and thermal stresses. Using the Laplace transform, we convert the heat conduction equation as well as the thermal stress problem into Fredholm integral equations. By numerically solving the resulting equations and performing numerical inversion of the Laplace transform, the temperature change and thermal stress response in physical domain can be obtained. The effectiveness of the presented method is confirmed by comparing numerical results with the exact solutions in the steady-state for power-law gradient. Finally, for a cylindrical functionally graded vessel made of aluminum and zirconia as two constituent phases, whose properties obey a special radial nonhomogeneity, the response history of temperature change and thermal stresse...

In the present paper we consider a prismatic cylinder occupied by an anisotropic homogeneous compressible linear thermoelastic material that is subject to zero body force and heat supply and zero d...

The recently developed parametric finite-volume theory for functionally graded materials is employed to investigate the response of a layered cylinder under transient thermal loading that simulates a cyclic thermal shock durability test. The results reveal a potential for the occurance of two distinct failure modes that may be activated due to two different stress components reaching critical values during different portions of the thermal cycle at different locations. These are delamination of the ceramic top coat from the bond coat, and radial cracking of the top coat that potentially initiates at the outer surface subjected to concentrated transient thermal load. Steady-state analysis substantially underestimates the magnitude of the radial and hoop stresses and, moreover, does not predict the stress reversals during cooldown that likely initiate radial cracks at the outer surface. The fidelity with which local stress fields are captured provides a convincing evidence that the parametric finite-volume ...

A rigid cylinder slides without friction at constant speed on a thermoelastic half-space. Surface convection occurs, and both it and half-space exhibit thermal relaxation. An analytical solution valid near the contact zone center and for high sub-critical speeds is obtained. Its form resembles that for a half-space with surface friction but no convection. Calculations show that contact zone temperature is sensitive to sliding speed, the relaxation model for the half-space and a dimensionless convection layer constant. In particular, a half-space with one relaxation time predicts decreases in temperature; a double-relaxation time model can give increases as well.

This article is concerned with the linear theory of porous Cosserat thermoelastic solids. The solution of the equilibrium problem for a right cylinder which is subject to resultant forces and resultant moments on the ends, and to a prescribed thermal field is established. First, the extension and bending of cylinders subjected to a plane temperature distribution are studied. Then, the case of a temperature field linear in axial coordinate associated with the torsion and flexure problems is investigated. The method is applied to study the deformation of a circular cylinder.

In the present article we consider a prismatic semi-infinite cylinder occupied by an anisotropic homogeneous compressible linear thermoelastic material having an elasticity tensor that is strongly elliptic. The cylinder is subjected to zero body force and heat supply, zero displacement–temperature variation on the lateral boundary and pointwise specified displacement–temperature variation over the base. The main purpose of this contribution is to examine how certain measures of the displacement–temperature variation evolve with respect to the axial variable, provided that the strong ellipticity of the elasticity tensor is assumed. To this end, some appropriate measures are associated with the displacement–temperature variation and then an appropriate second-order differential inequality is established under the strong ellipticity condition on the elasticity tensor. The results are specialized for transversely isotropic and rhombic systems of elastic materials.

In the present article, dynamic and quasi-static behaviors of magneto-thermo-elastic stresses in a conducting solid circular cylinder subjected to an arbitrary variation of magnetic field are investigated. It is assumed that a magnetic field defined by an arbitrary function of time acts on the surface in the direction parallel to its surface. Dynamic and quasi-static solutions of stresses are analytically derived. The solutions of stresses are determined to be sums of thermal stress caused by eddy current loss and magnetic stress caused by Lorentz force. For the case that the arbitrary function is given by the sine function, the dynamic and quasi-static behaviors of the stresses are examined by numerical calculations.

The one-dimensional magneto-thermoelastic problem without energy dissipation of a perfect infinitely long annular cylinder with axial uniform magnetic field subjected to harmonically varying temperature is solved. The closed form solutions for the distributions of displacement, temperature, and stresses are obtained analytically in non-dimensional forms. The numerical results are displayed graphically to illustratete the problem and discuss the effect of Green and Naghdi parameter.

Within the framework of the linear theory of thermoelasticity, the problem of circularly cylindrical layered media subjected to an arbitrary point heat source is considered and solved in this paper. Based on the method of analytical continuation in conjunction with the alternating technique, the solutions to heat conduction and thermoelasticity problems for a three-phase multilayered cylinder are first derived. A rapid convergent series solution for both the temperature and stress functions, which is expressed in terms of an explicit general term of the complex potential of the corresponding homogeneous problem, is obtained in an elegant form. Numerical results are provided for some particular examples to investigate the effect of material combinations on the interfacial stresses.

Significant thermal and interlaminar transverse stresses often occur in sandwich structures subjected to thermal loading due to the mismatch in thermal expansion of different materials in structures. A kind of 32-node, 3-layered shell element with relative degrees-of-freedom accompanied by a post-processing method is presented based on 3D FEM to accurately describe thermo-structures behavior and easily connected with brick elements. The present method is verified by a theoretical result. The thermal stress fields in a sandwich cylinder with a cutout with and without reinforcement are calculated by the method successfully. The results show that reinforcement may cause significant transverse thermal stresses, although it is beneficial to reducing in-plane stress.

This paper investigates the fracture mechanics problem of a piezoelectric cylinder under a sudden heating on its outer surface. The temperature field and the associated thermal stresses and electric displacements are obtained first. These stresses and electric displacements are added to the crack surface to form a mixed-mode boundary-value problem for the electromechanical coupling fracture. Both electrically impermeable and permeable crack-face boundary conditions are considered. An exact and closed-form solution for the thermally induced crack-tip field is obtained for infinitesimal cracking. Also obtained are the analytical expressions for the crack opening displacement and the electric displacement on the crack faces as a function of time. The maximum thermal stress and electric displacement inside the medium and the maximum thermal stress and electric displacement intensity factors near the crack border are given. These results are useful for the strength evaluation of piezoelectric material...

A cylinder of infinite length is introduced in a semi-infinite closed slit in a transversely isotropic solid. Translation toward the slit edge produces mode I crack extension in plane strain. Translation is resisted by cylinder/crack friction, and the crack closes in the wake of the cylinder. A dynamic steady state governed by coupled thermoelasticity ensues in which crack edge and cylinder move at the same constant subcritical speed. The problem has features of both sliding contact and fracture, and robust asymptotic results give solutions that are analytic and—given anisotropy and thermoelasticity—simple in form. Calculations for zinc and a circular cylinder show the effects of cylinder speed and friction on aspects such as temperature change, crack closure compression, and fracture energy release rate.

We study the spatial behavior in a cylinder made of an isotropic and homogeneous thermoelastic material with voids when it is subjected to plane boundary data varying harmonically in time on its lateral surface and on one of the bases. For oscillations with an angular frequency lower than a critical frequency, we show that some appropriate measures associated with the amplitude of the vibration decays exponentially with the distance to the bases.

The normalized stress intensity factor (SIF) range of an inner-surface circumferential crack in a thin to thick-walled finite-length cylinder under thermal striping was considered in this paper. The edges of the cylinder were rotation-restrained and the outer surface was adiabatically insulated. The inner surface of the cylinder was heated by a fluid with sinusoidal temperature fluctuation. An analytical temperature solution for the problem and our semianalytical numerical SIF evaluation method for the crack were combined and, as a result, it was shown that the transient SIF solution can be expressed in a generalized form by dimensionless parameters such as mean-radius-to-wall-thickness ratio, Biot number, normalized striping frequency, and Fourier number. Finally, normalized SIF ranges for the first cycle and steady state were given for these dimensionless parameters in tables for mean-radius-to-wall-thickness ratio of 10, 5, and 1.

A boundary integral method is used to solve the problem of plane, uncoupled linear thermoelasticity with heat sources for an infinite cylinder with elliptical cross section, subjected to a uniform pressure and to a thermal radiation condition on its boundary. The complete solution of the problem is obtained. The results reduce to those for the infinite circular cylinder as the ellipse becomes a circle. A numerical example is treated in order to put in evidence the combined influence of the uniform pressure and heat exchange on the boundary and the uniformly distributed heat sources in the bulk.

This article presents a crack arrest depth analysis under cyclic thermal shock for an inner-surface circumferential crack in a finite-length thick-walled cylinder with rotation-restrained edges. The inside of the cylinder is cooled from a uniform temperature distribution. The effects of heat transfer conditions on the maximum transient stress intensity factor for the problem were investigated with systematical evaluation methods formerly developed. Then, under an assumption of a tentative threshold stress intensity range j K th together with the Paris law, the crack arrest depth under cyclic thermal stress was evaluated. The results suggested the existence of an upper limit for the normalized crack arrest depth, independent of the cylinder material in an engineering sense. Finally, the validity of applying j K max h j K th as a crack arrest criterion under cyclic thermal shock was confirmed by fatigue tests under mechanical loads equivalent to those induced by cyclic thermal shock.

This article concerns the investigation of the stress, temperature, and magnetic field in a transversely isotropic, elastic cylinder of infinite length and perfectly conducting material placed in a primary constant magnetic field when the curved surface of the cylinder is subjected to periodic loading. The analysis encompasses Lord and Shulman and Green and Lindsay theories of generalized thermoelasticity to account for the finite velocity of heat equation. The analysis of the numerical results for stress, temperature, and numerical values of the perturbed magnetic field in the free space is carried out at various points of the cylindrical medium. It is found that the effect of the applied magnetic field is an increase in the elastic wave velocity or, in other words, the increase of the solidity of the body. Furthermore, it has been shown graphically that the stress and perturbed magnetic field are modified due to the thermal relaxation time effect. In the absence of the magnetic field or relaxation times...

This article presents a technique to solve the inverse boundary value problem of coupled thermoelasticity in an infinitely long annular cylinder. If we know the strain history at any point of the cylinder, the boundary time-varying heat flux can be computed. Subsequently, the distributions of temperature and thermal stresses in the cylinder at various times can be determined. The surface heat flux is determined by minimizing the sum of squares of the deviation between the calculated and measured strains in the cylinder. The accuracy of the inverse analysis is examined using simulated exact and inexact measurements obtained on the surface and at an interior location of the cylinder. Numerical results demonstrate that excellent estimations for the heat flux and thermal stress distributions are obtained for all the test cases considered in this study.

This article deals with the transient response of one-dimensional axisymmetric quasi-static coupled thermoelastic problems with initial interface pressure. The initial interface pressure in a multilayered cylinder caused by the heat-assembling method is considered as an initial condition for the thermoelastic equilibrium problem. The Laplace transform and finite difference methods are used to analyze problems. Using the Laplace transform with respect to time, the general solutions of the governing equations are obtained in the transform domain. The solution is obtained using the matrix similarity transformation and inverse Laplace transform. We obtained solutions for the temperature and thermal stress distributions in a transient state. Moreover, the computational procedures established in this article can solve the generalized thermoelasticity problem for a multilayered hollow cylinder.