Thermoelastic behavior of elastic media with temperature-dependent properties under transient thermal shock

Wang, Y. Z.; Liu, D.; Wang, Q.; Zhou, Jing

doi:10.1080/01495739.2016.1158603

Cited by 20 publications

(7 citation statements)

References 27 publications

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“…Ezzat and Youssef [17] investigated three dimensional thermal shock problem of generalized thermoelastic medium. Wang et al [18] considered thermoelastic behavior of elastic media with temperaturedependent properties under thermal shock. Baksi et al [19] studied magneto-thermoelastic problem with thermal relaxation and heat sources in a three dimensional infinite rotating elastic medium.…”

Section: Introductionmentioning

confidence: 99%

State Space Approach to Thermoelastic Problem with Three-Phase-Lag Model

Biswas

2020

Int Appl Mech

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A two-dimensional problem of generalized thermoelasticity is formulated using state space approach. In this formulation, the governing equations are transformed into a matrix differential equation whose solution enables to write the solution of two-dimensional problem in terms of the boundary conditions. The resulting formulation is applied to an isotropic half-space problem within three-phase-lag model of thermoelasticity. The bounding surface is traction free and subjected to a time dependent thermal shock. The solution for temperature distribution, displacements and stress components are obtained and presented graphically as well as a comparison with other thermoelastic models is made.

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Section: Introductionmentioning

confidence: 99%

State Space Approach to Thermoelastic Problem with Three-Phase-Lag Model

Biswas

2020

Int Appl Mech

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“…The thermoelastic coupling terms occurring in the heat conduction equation are usually small and neglected in practice [1][2][3]. Taking them into account, however, has been found important in many applications, such as the modeling of the vibration of resonant microelectromechanical systems (MEMS) [4][5][6], dynamic crack propagation [7][8][9], thermal shocks [10][11][12][13][14], ultrafast laser heating in thermal processing of materials [15][16][17][18], and wave propagation [19][20][21][22]. In some of these applications, using the Cattaneo-Vernotte conduction model instead of Fourier's law and/or accounting for the temperature dependence of the material moduli have resulted in better predictions [14,23,24].…”

Section: Introductionmentioning

confidence: 99%

“…Thus, the expressions obtained by letting the material moduli depend on temperature in the coupled heat equation obtained in linear thermoelasticity [14,[31][32][33][34][35] implicitly neglect, among other things, the coupling terms involving the temperature derivatives of the elasticity tensor. Similarly, the expressions stemming from polynomial expansions of the Helmholtz energy to an order higher than second in the temperature change [14,[36][37][38] also lack some of the coupling terms because of the truncation. Moreover, such expansions result in forms for the thermoelastic moduli, as functions of temperature, that do not fit well the actual temperature dependence of these moduli in many instances, for example, between room and cryogenic temperatures [39].…”

Section: Introductionmentioning

confidence: 99%

Coupled heat equation in thermoelasticity with temperature dependent moduli

Boussaa

2019

Journal of Thermal Stresses

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New and consistent expressions for the coupled heat equation are developed within the framework of small-strain thermoelasticity for both the Fourier and Cattaneo-Vernotte conduction models. These expressions place no restrictions on the changes in temperature, allow for the temperature dependence of the thermoelastic moduli, and include all the coupling terms as functions of the thermoelastic moduli and their derivatives. As applications, (i) an extended Lord-Shulman-type model is derived that takes into account the temperature dependence of the thermoelastic moduli, and (ii) the equations underpinning the experimental technique of thermoelastic stress analysis are revisited.

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“…Tian et al (2016) discussed the behavior a FG wave absorber which can be tailored to satisfy the impedance match principle by gradually changing material property. Wang et al (2016) studied thermoelastic behavior of an elastic media with temperature-dependent properties. Zenkour and Alghamdi (2010) analyzed the bending response of sandwich plates subjected to thermo-mechanical loads in which the sandwich plate faces are assumed to have isotropic, two constituent (metal–ceramic) material distribution through the thickness.…”

Section: Introductionmentioning

confidence: 99%

Thermal stress analysis of a thermosensitive functionally graded rectangular plate due to thermally induced resultant moments

Manthena

Kedar

Deshmukh

2018

MMMS

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Purpose The purpose of this paper is to determine the temperature distribution of a thin rectangular plate made of thermosensitive functionally graded (FG) material. By finding out thermal deflection and stress resultants, the thermal stresses have been obtained and analyzed. Design/methodology/approach Initially, the rectangular plate is kept at the surrounding temperature. The upper, lower and two parallel sides (y=0, b and z=0, c) are thermally insulated, while other parallel sides (x=0, a) are given convective-type heating, that is, the rate of change of the temperature of the rectangular plate is proportional to the difference between its own temperature and the surrounding temperature. The non-linear heat conduction equation has been converted to linear form by introducing Kirchhoff’s variable transformation and the resultant heat conduction equation is solved by integral transform technique with hyperbolic varying point heat source. Findings A mathematical model is prepared for FG ceramic–metal-based material, in which alumina is selected as the ceramic and nickel as the metal. The thermal deflection and thermal stresses have been obtained for the homogeneous and nonhomogeneous materials. The results are illustrated numerically and depicted graphically for comparison. During this study, one observed that variations are seen in the stresses, due to the variation in the inhomogeneity parameters. Research limitations/implications The paper is constructed purely on theoretical mathematical modeling by considering various parameters and functions. Practical implications This type of theoretical analysis may be useful in high-temperature environments like nuclear components, spacecraft structural members, thermal barrier coatings, etc., as the effect of temperature and evaluation of temperature-dependent and nonhomogeneous material properties plays a vital role for accurate and reliable structural analysis. Originality/value In this paper, the authors have used thermal deflection and resultant stresses to determine the thermal stresses of a thin rectangular plate with temperature- and spatial variable-dependent material properties which is a new and novel contribution to the field.

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Thermoelastic behavior of elastic media with temperature-dependent properties under transient thermal shock

Cited by 20 publications

References 27 publications

State Space Approach to Thermoelastic Problem with Three-Phase-Lag Model

State Space Approach to Thermoelastic Problem with Three-Phase-Lag Model

Coupled heat equation in thermoelasticity with temperature dependent moduli

Thermal stress analysis of a thermosensitive functionally graded rectangular plate due to thermally induced resultant moments

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