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Автор: Grafiati

Опубліковано: 14 березня 2023

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1

Eslami, M. R., and H. Vahedi. "Coupled thermoelasticity beam problems." AIAA Journal 27, no. 5 (May 1989): 662–65. http://dx.doi.org/10.2514/3.10161.

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2

Kumar, Roushan, and Ravi Kumar. "A study of thermoelastic damping in micromechanical resonators under unified generalized thermoelasticity formulation." Noise & Vibration Worldwide 50, no. 6 (June 2019): 169–75. http://dx.doi.org/10.1177/0957456519853814.

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Анотація:

In this article, a unified formulation for the generalized coupled thermoelasticity theories by employing an appropriate system of partial differential equations as the governing system is presented to investigate thermoelastic damping of a microbeam resonator. The generalized coupled thermoelasticity theories namely: the extended thermoelasticity proposed by Lord and Shulman, the thermoelasticity without energy dissipation (thermoelasticity type-II) and the thermoelasticity with energy dissipation (thermoelasticity type III) in a unified way by introducing the unified parameters. An explicit formula of thermoelastic damping has been derived in a unified way and numerical results for effects of the beam height, relaxation time parameter on thermoelastic damping of the microbeam resonator have been studied and compared.

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3

Serpilli, Michele, Serge Dumont, Raffaella Rizzoni, and Frédéric Lebon. "Interface Models in Coupled Thermoelasticity." Technologies 9, no. 1 (March 4, 2021): 17. http://dx.doi.org/10.3390/technologies9010017.

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This work proposes new interface conditions between the layers of a three-dimensional composite structure in the framework of coupled thermoelasticity. More precisely, the mechanical behavior of two linear isotropic thermoelastic solids, bonded together by a thin layer, constituted of a linear isotropic thermoelastic material, is studied by means of an asymptotic analysis. After defining a small parameter ε, which tends to zero, associated with the thickness and constitutive coefficients of the intermediate layer, two different limit models and their associated limit problems, the so-called soft and hard thermoelastic interface models, are characterized. The asymptotic expansion method is reviewed by taking into account the effect of higher-order terms and defining a generalized thermoelastic interface law which comprises the above aforementioned models, as presented previously. A numerical example is presented to show the efficiency of the proposed methodology, based on a finite element approach developed previously.

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4

Harmain, G. A., J. L. Wegner, J. Su, and J. B. Haddow. "Coupled radially symmetric linear thermoelasticity." Wave Motion 25, no. 4 (June 1997): 385–400. http://dx.doi.org/10.1016/s0165-2125(96)00049-2.

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5

Saxena, H. S., and R. S. Dhaliwal. "EIGENVALUE APPROACH TO COUPLED THERMOELASTICITY." Journal of Thermal Stresses 13, no. 2 (January 1990): 161–75. http://dx.doi.org/10.1080/01495739008927030.

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6

Carbonaro, Bruno, and Remigio Russo. "Uniqueness in linear coupled thermoelasticity." Journal of Elasticity 17, no. 1 (1987): 85–91. http://dx.doi.org/10.1007/bf00042451.

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7

Kumar, Rajneesh, Aseem Miglani, and Rekha Rani. "Eigenvalue formulation to micropolar porous thermoelastic circular plate using dual phase lag model." Multidiscipline Modeling in Materials and Structures 13, no. 2 (August 14, 2017): 347–62. http://dx.doi.org/10.1108/mmms-08-2016-0038.

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Анотація:

Purpose The purpose of this paper is to study the axisymmetric problem in a micropolar porous thermoelastic circular plate with dual phase lag model by employing eigenvalue approach subjected to thermomechanical sources. Design/methodology/approach The Laplace and Hankel transforms are employed to obtain the expressions for displacements, microrotation, volume fraction field, temperature distribution and stresses in the transformed domain. A numerical inversion technique has been carried out to obtain the resulting quantities in the physical domain. Effect of porosity and phase lag on the resulting quantities has been presented graphically. The results obtained for Lord Shulman theory (L-S, 1967) and coupled theory of thermoelasticity are presented as the particular cases. Findings The variation of temperature distribution is similar for micropolar thermoelastic with dual (MTD) phase lag model and coupled theory of thermoelasticity. The variation is also similar for tangential couple stress for MTD and L-S theory but opposite to couple theory. The behavior of volume fraction field and tangential couple stress for L-S theory and coupled theory are observed opposite. The values of all the resulting quantities are close to each other away from the sources. The variation in tangential stress, tangential couple stress and temperature distribution is more uniform. Originality/value The results are original and new because the authors presented an eigenvalue approach for two dimensional problem of micropolar porous thermoelastic circular plate with dual phase lag model. A comparison of porosity, L-S theory and coupled theory of micropolar thermoelasticity is made. Such problem has applications in material science, industries and earthquake problems.

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8

Choudhuri, S. K. Roy, and Manidipa Banerjee (Chattopadhyay). "Magneto-viscoelastic plane waves in rotating media in the generalized thermoelasticity II." International Journal of Mathematics and Mathematical Sciences 2005, no. 11 (2005): 1819–34. http://dx.doi.org/10.1155/ijmms.2005.1819.

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A study is made of the propagation of time-harmonic magneto-thermoviscoelastic plane waves in a homogeneous electrically conducting viscoelastic medium of Kelvin-Voigt type permeated by a primary uniform external magnetic field when the entire medium rotates with a uniform angular velocity. The generalized thermoelasticity theory of type II (Green and Naghdi model) is used to study the propagation of waves. A more general dispersion equation for coupled waves is derived to ascertain the effects of rotation, finite thermal wave speed of GN theory, viscoelastic parameters and the external magnetic field on the phase velocity, the attenuation coefficient, and the specific energy loss of the waves. Limiting cases for low and high frequencies are also studied. In absence of rotation, external magnetic field, and viscoelasticity, the general dispersion equation reduces to the dispersion equation for coupled thermal dilatational waves in generalized thermoelasticity II (GN model), not considered before. It reveals that the coupled thermal dilatational waves in generalized thermoelasticity II are unattenuated and nondispersive in contrast to the thermoelastic waves in classical coupled thermoelasticity (Chadwick (1960)) which suffer both attenuation and dispersion.

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9

Kovalev, V. A., Yu N. Radayev, and D. A. Semenov. "Coupled Dynamic Problems of Hyperbolic Thermoelasticity." Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics 9, no. 4(2) (2009): 94–127. http://dx.doi.org/10.18500/1816-9791-2009-9-4-2-94-127.

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10

Bakhshi, M., A. Bagri, and M. R. Eslami. "Coupled Thermoelasticity of Functionally Graded Disk." Mechanics of Advanced Materials and Structures 13, no. 3 (July 2006): 219–25. http://dx.doi.org/10.1080/15376490600582719.

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11

Sistaninia, Me, Ma Sistaninia, and H. Moeanodini. "Laser Surface Hardening Considering Coupled Thermoelasticity." Journal of Mechanics 25, no. 3 (September 2009): 241–49. http://dx.doi.org/10.1017/s1727719100002690.

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AbstractThermoelastic temperature, displacement and stress in heat transfer during laser surface hardening are solved in both Lagrangian formulation and Eulerian formulation. In the Eulerian formulation, the heat flux is fixed in space and the work-piece is moved through a control volume. In the case of uniform velocity and uniform heat flux distribution, the Eulerian formulation leads to a steady-state problem, while the Lagrangian formulation remains transient. In the Eulerian formulation, the reduction to a steady-state problem increases the computational efficiency. Also, in this study, an analytical solution is developed for an uncoupled transient heat conduction equation in which a plane slab is heated by a laser beam. The thermal results of the numerical models are compared with the results of the analytical model. A comparison of the results shows that numerical solutions in the case of uncoupled problem are in good agreement with the analytical solution.

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12

Carter, J. P., and J. R. Booker. "Finite element analysis of coupled thermoelasticity." Computers & Structures 31, no. 1 (January 1989): 73–80. http://dx.doi.org/10.1016/0045-7949(89)90169-7.

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13

Marotti de Sciarra, Francesco. "Some Variational Principles for Coupled Thermoelasticity." Journal of Engineering 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/516462.

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Анотація:

The nonlinear thermoelasticity of type II proposed by Green and Naghdi is considered. The thermoelastic structural model is formulated in a quasistatic range, and the related thermoelastic variational formulation in the complete set of state variables is recovered. Hence a consistent framework to derive all the variational formulations with different combinations of the state variables is provided, and a family of mixed variational formulations, with different combinations of state variables, is provided starting from the general variational formulation. A uniqueness condition is provided on the basis of a suitable variational formulation.

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14

Awrejcewicz, Jan, and Vadim Krysko. "Coupled Thermoelasticity Problems of Shallow Shells." Systems Analysis Modelling Simulation 43, no. 3 (March 2003): 269–86. http://dx.doi.org/10.1080/0232929031000150238.

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15

D. V. Strunin, R. V. N. Melnik, A. "COUPLED THERMOMECHANICAL WAVES IN HYPERBOLIC THERMOELASTICITY." Journal of Thermal Stresses 24, no. 2 (February 2001): 121–40. http://dx.doi.org/10.1080/01495730150500433.

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16

Bagri, A., H. Taheri, M. R. Eslami, and S. Fariborz. "Generalized Coupled Thermoelasticity of a Layer." Journal of Thermal Stresses 29, no. 4 (April 2006): 359–70. http://dx.doi.org/10.1080/01495730500360492.

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17

Babaei, M. H., M. Abbasi, and M. R. Eslami. "Coupled Thermoelasticity of Functionally Graded Beams." Journal of Thermal Stresses 31, no. 8 (July 10, 2008): 680–97. http://dx.doi.org/10.1080/01495730802193930.

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18

Meriç, R. A. "COUPLED OPTIMIZATION IN STEADY-STATE THERMOELASTICITY." Journal of Thermal Stresses 8, no. 3 (January 1985): 333–47. http://dx.doi.org/10.1080/01495738508942240.

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19

Russo, Remigio. "Classical coupled thermoelasticity in unbounded domains." Journal of Elasticity 22, no. 1 (August 1989): 1–24. http://dx.doi.org/10.1007/bf00055331.

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20

Day, W. A. "Steady forced vibrations in coupled thermoelasticity." Archive for Rational Mechanics and Analysis 93, no. 4 (1986): 323–34. http://dx.doi.org/10.1007/bf00280511.

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21

Atkinson, C., and R. V. Craster. "Fracture in fully coupled dynamic thermoelasticity." Journal of the Mechanics and Physics of Solids 40, no. 7 (October 1992): 1415–32. http://dx.doi.org/10.1016/0022-5096(92)90026-x.

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22

Kačur, Jozef, and Alexander Ženíšek. "Analysis of approximate solutions of coupled dynamical thermoelasticity and related problems." Applications of Mathematics 31, no. 3 (1986): 190–223. http://dx.doi.org/10.21136/am.1986.104199.

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23

Singh, Baljeet. "Propagation of Plane Waves in a Thermally Conducting Mixture." ISRN Applied Mathematics 2011 (August 16, 2011): 1–12. http://dx.doi.org/10.5402/2011/301816.

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Анотація:

The governing equations for generalized thermoelasticity of a mixture of an elastic solid and a Newtonian fluid are formulated in the context of Lord-Shulman and Green-Lindsay theories of generalized thermoelasticity. These equations are solved to show the existence of three coupled longitudinal waves and two coupled transverse waves, which are dispersive in nature. Reflection from a thermally insulated stress-free surface is considered for incidence of coupled longitudinal wave. The speeds and reflection coefficients of plane waves are computed numerically for a particular model.

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24

SARKAR, NANTU, and ABHIJIT LAHIRI. "EFFECT OF FRACTIONAL PARAMETER ON PLANE WAVES IN A ROTATING ELASTIC MEDIUM UNDER FRACTIONAL ORDER GENERALIZED THERMOELASTICITY." International Journal of Applied Mechanics 04, no. 03 (September 2012): 1250030. http://dx.doi.org/10.1142/s1758825112500305.

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In ["Theory of fractional order generalized thermoelasticity," Journal of Heat Transfer132, 2010] Youssef has proposed a model in generalized thermoelasticity based on the fractional order time derivatives. The current manuscript is concerned with a two-dimensional generalized thermoelastic coupled problem for a homogeneous isotropic and thermally conducting thermoelastic rotating medium in the context of the above fractional order generalized thermoelasticity with two relaxation time parameters. The normal mode analysis technique is used to solve the resulting non-dimensional coupled governing equations of the problem. The resulting solution is then applied to two concrete problems. The effect of the fractional parameter and the time instant on the variations of different field quantities inside the elastic medium are analyzed graphically in the presence of rotation.

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25

Marotti de Sciarra, F. "Mixed Variational Principles in Nondissipative Coupled Thermoelasticity." Advances in Mechanical Engineering 6 (February 12, 2015): 684075. http://dx.doi.org/10.1155/2014/684075.

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26

Bahtui, A., and M. R. Eslami. "Coupled thermoelasticity of functionally graded cylindrical shells." Mechanics Research Communications 34, no. 1 (January 2007): 1–18. http://dx.doi.org/10.1016/j.mechrescom.2005.09.003.

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27

Askar Altay, G., and M. Cengiz Dökmecí. "Some variational principles for linear coupled thermoelasticity." International Journal of Solids and Structures 33, no. 26 (November 1996): 3937–48. http://dx.doi.org/10.1016/0020-7683(95)00215-4.

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28

Wilms, E. V., and H. Cohen. "Some one-dimensional problems in coupled thermoelasticity." Mechanics Research Communications 12, no. 1 (January 1985): 41–47. http://dx.doi.org/10.1016/0093-6413(85)90033-3.

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29

Podstrigach, Ya S., and Yu A. Chernukha. "The coupled thermoelasticity problem for thin plates." Journal of Soviet Mathematics 62, no. 1 (October 1992): 2489–93. http://dx.doi.org/10.1007/bf01099137.

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30

Parnell, William J. "Coupled Thermoelasticity in a Composite Half-Space." Journal of Engineering Mathematics 56, no. 1 (May 2, 2006): 1–21. http://dx.doi.org/10.1007/s10665-006-9038-1.

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31

Kobzar’, V. N., and L. A. Fil'shtinskii. "The plane dynamic problem of coupled thermoelasticity." Journal of Applied Mathematics and Mechanics 72, no. 5 (January 2008): 611–18. http://dx.doi.org/10.1016/j.jappmathmech.2008.11.002.

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32

AKBARZADEH, A. H., M. H. BABAEI, and Z. T. CHEN. "THERMOPIEZOELECTRIC ANALYSIS OF A FUNCTIONALLY GRADED PIEZOELECTRIC MEDIUM." International Journal of Applied Mechanics 03, no. 01 (March 2011): 47–68. http://dx.doi.org/10.1142/s1758825111000865.

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Анотація:

The thermopiezoelectrical behavior of a functionally graded piezoelectric medium (FGPM) is investigated in the present work. For the special case, the dynamic response of an FGPM rod excited by a moving heat source is studied. The material properties of the FGPM rod are assumed to vary exponentially through the length, except for specific heat and thermal relaxation time which are held constant for simplicity. The governing differential equations in terms of displacement, temperature, and electric potential are obtained in a general form that includes coupled and uncoupled thermoelasticity. The coupled formulation considers classical thermoelasticity as well as generalized thermoelasticity. Employing the Laplace transform and successive decoupling method, unknowns are given in the Laplace domain. Employing a numerical Laplace inversion method, the solutions are gained in the time domain. Numerical examples for the transient response of the FGPM rod are displayed to clarify the differences among the results of the generalized, coupled, and uncoupled theories for various nonhomogeneity indices. The results are verified with those reported in the literature.

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33

Eslami, M., and H. Vahedi. "Galerkin Finite Element Displacement Formulation of Coupled Thermoelasticity Spherical Problems." Journal of Pressure Vessel Technology 114, no. 3 (August 1, 1992): 380–84. http://dx.doi.org/10.1115/1.2929057.

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Анотація:

When the time rate of change of the thermomechanical forces in a continuum is high enough to produce stress wave, the solution must be sought through the simultaneous consideration of the first law of thermodynamics and the equations of thermoelasticity. The general finite element formulation of coupled thermoelasticity along with a general discussion for inclusion of mechanical and thermal boundary conditions is presented. The case is then considered for a spherical symmetry and the governing coupled thermoelastic equations are reduced for a thick sphere. Based on the Galerkin method, a Kantrovich approximation is applied to the displacement and temperature field and the finite element formulation of the problem is obtained.

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34

Gupta, R. R. "Wave Propagation in a Micropolar Transversely Isotropic Generalized Thermoelastic Half-Space." International Journal of Applied Mechanics and Engineering 19, no. 2 (May 1, 2014): 247–57. http://dx.doi.org/10.2478/ijame-2014-0016.

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Abstract Rayleigh waves in a half-space exhibiting microplar transversely isotropic generalized thermoelastic properties based on the Lord-Shulman (L-S), Green and Lindsay (G-L) and Coupled thermoelasticty (C-T) theories are discussed. The phase velocity and attenuation coefficient in the previous three different theories have been obtained. A comparison is carried out of the phase velocity, attenuation coefficient and specific loss as calculated from the different theories of generalized thermoelasticity along with the comparison of anisotropy. The amplitudes of displacements, microrotation, stresses and temperature distribution were also obtained. The results obtained and the conclusions drawn are discussed numerically and illustrated graphically. Relevant results of previous investigations are deduced as special cases.

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35

Pan, Ying, Zi Hou Zhang, and Li Hou Liu. "Effect of Rotation to a Half-Sapce in Magneto-Thermoelasticity with Thermal Relaxations." Key Engineering Materials 353-358 (September 2007): 3018–21. http://dx.doi.org/10.4028/www.scientific.net/kem.353-358.3018.

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Based on Green and Lindsay’s generalized thermoelasticity theory with two relaxation times, a two-dimensional coupled problem in electromagneto-thermoelasticity for a rotating half-space solid whose surface is subjected to a heat is studied in this paper. The normal mode analysis is used to obtain the analytical expressions for the considered variables. It can be found electromagneto-thermoelastic coupled effect in the medium, and it also can be found that rotation acts to significantly decrease the magnitude of the real part of displacement and stress and insignificantly affect the magnitude of temperature and induced magnetic field.

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36

Singh, B., and S. Verma. "On Propagation of Rayleigh Type Surface Wave in Five Different Theories of Thermoelasticity." International Journal of Applied Mechanics and Engineering 24, no. 3 (August 1, 2019): 661–73. http://dx.doi.org/10.2478/ijame-2019-0041.

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Анотація:

Abstract The governing equations for a homogeneous and isotropic thermoelastic medium are formulated in the context of coupled thermoelasticity, Lord and Shulman theory of generalized thermoelasticity with one relaxation time, Green and Lindsay theory of generalized thermoelasticity with two relaxation times, Green and Nagdhi theory of thermoelasticity without energy dissipation and Chandrasekharaiah and Tzou theory of thermoelasticity. These governing equations are solved to obtain general surface wave solutions. The particular solutions in a half-space are obtained with the help of appropriate radiation conditions. The two types of boundaries at athe surface of a half-space are considered namely, the stress free thermally insulated boundary and stress free isothermal boundary. The particular solutions obtained in a half-space satisfy the relevant boundary conditions at the free surface of the half-space and a frequency equation for the Rayleigh wave speed is obtained for both thermally insulated and isothermal cases. The non-dimensional Rayleigh wave speed is computed for aluminium metal to observe the effects of frequency, thermal relaxation time and different theories of thermoelasticity.

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37

Biswas, Siddhartha. "Modeling of memory-dependent derivatives with the state-space approach." Multidiscipline Modeling in Materials and Structures 16, no. 4 (December 13, 2019): 657–77. http://dx.doi.org/10.1108/mmms-06-2019-0120.

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Анотація:

Purpose The purpose of this paper is to deal with a new generalized model of thermoelasticity theory with memory-dependent derivatives (MDD). Design/methodology/approach The two-dimensional equations of generalized thermoelasticity with MDD are solved using a state-space approach. The numerical inversion method is employed for the inversion of Laplace and Fourier transforms. Findings The solutions are presented graphically for different values of time delay and kernel function. Originality/value The governing coupled equations of the new generalized thermoelasticity with time delay and kernel function, which can be chosen freely according to the necessity of applications, are applied to a two-dimensional problem of an isotropic plate.

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38

Kalandarov, Aziz A. "Numerical Modeling of Partially Coupled Problems of Thermoelasticity." International Journal of Advanced Trends in Computer Science and Engineering 9, no. 3 (June 25, 2020): 3095–99. http://dx.doi.org/10.30534/ijatcse/2020/92932020.

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39

Agalovyan, L. A., R. S. Gevorgyan, and A. G. Sargsyan. "Comparative asymptotic analysis of coupled and uncoupled thermoelasticity." Mechanics of Solids 49, no. 4 (July 2014): 389–402. http://dx.doi.org/10.3103/s0025654414040049.

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40

Day, W. A. "Initial sensitivity to the boundary in coupled thermoelasticity." Archive for Rational Mechanics and Analysis 87, no. 3 (September 1985): 253–66. http://dx.doi.org/10.1007/bf00250726.

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41

Tosaka, N., and I. G. Suh. "Boundary element analysis of dynamic coupled thermoelasticity problems." Computational Mechanics 8, no. 5 (1991): 331–42. http://dx.doi.org/10.1007/bf00369891.

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42

Eslami, M. R., M. Shakeri, and R. Sedaghati. "COUPLED THERMOELASTICITY OF AN AXIALLY SYMMETRIC CYLINDRICAL SHELL." Journal of Thermal Stresses 17, no. 1 (January 1994): 115–35. http://dx.doi.org/10.1080/01495739408946250.

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43

Speziale, C. G. "On the coupled heat equation of linear thermoelasticity." Acta Mechanica 150, no. 1-2 (March 2001): 121–26. http://dx.doi.org/10.1007/bf01178549.

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44

Wilms, E. V. "Coupled thermoelasticity with non-zero thermal boundary conditions." Mechanics Research Communications 20, no. 5 (September 1993): 431–36. http://dx.doi.org/10.1016/0093-6413(93)90035-m.

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45

K�gl, M., and L. Gaul. "A boundary element method for anisotropic coupled thermoelasticity." Archive of Applied Mechanics (Ingenieur Archiv) 73, no. 5-6 (November 1, 2003): 377–98. http://dx.doi.org/10.1007/s00419-003-0289-2.

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46

Bahtui, A., and M. R. Eslami. "Generalized coupled thermoelasticity of functionally graded cylindrical shells." International Journal for Numerical Methods in Engineering 69, no. 4 (2006): 676–97. http://dx.doi.org/10.1002/nme.1782.

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47

Liu, W. K., and H. G. Chang. "A Note on Numerical Analysis of Dynamic Coupled Thermoelasticity." Journal of Applied Mechanics 52, no. 2 (June 1, 1985): 483–85. http://dx.doi.org/10.1115/1.3169075.

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Анотація:

A method of computation for dynamic coupled thermoelasticity is developed. This approach has the advantage of applying an implicit algorithm to the elasticity equation and an unconditionally stable explicit algorithm to the heat conduction equation. As a result, the coupled matrix equations are “symmetric” and “profiled.” In addition, unconditional stability is sought.

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48

Zenkour, Ashraf M., Daoud S. Mashat, and Ashraf M. Allehaibi. "Thermoelastic Coupling Response of an Unbounded Solid with a Cylindrical Cavity Due to a Moving Heat Source." Mathematics 10, no. 1 (December 21, 2021): 9. http://dx.doi.org/10.3390/math10010009.

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Анотація:

The current article introduces the thermoelastic coupled response of an unbounded solid with a cylindrical hole under a traveling heat source and harmonically altering heat. A refined dual-phase-lag thermoelasticity theory is used for this purpose. A generalized thermoelastic coupled solution is developed by using Laplace’s transforms technique. Field quantities are graphically displayed and discussed to illustrate the effects of heat source, phase-lag parameters, and the angular frequency of thermal vibration on the field quantities. Some comparisons are made with and without the inclusion of a moving heat source. The outcomes described here using the refined dual-phase-lag thermoelasticity theory are the most accurate and are provided as benchmarks for other researchers.

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49

Abbas, Ibrahim A. "The Effect of Relaxation Times on Thermoelastic Damping in a Nanobeam Resonator." Journal of Molecular and Engineering Materials 04, no. 02 (June 2016): 1650001. http://dx.doi.org/10.1142/s2251237316500015.

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Анотація:

In the present work, in accordance with the generalized theory of thermoelasticity with two thermal relaxation times, the vibration of a thick finite nanobeam resonator has been considered. Both the general thermoelasticity and coupled thermoelasticity (CT) theories with only one relaxation time can be deduced from the present model as special cases. Under clamped conditions for beam, the effect of relaxation times in nanobeam resonator has been investigated. Based on the analytical relationships, the beam deflection, temperature change, frequency shift and thermoelastic damping were investigated and the numerical results were graphically obtained. According to the observed results there is a clear difference between the CT theory, Lord and Shulman’s (LS) theory and Green and Lindsay’s (GL) theory.

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50

Zenkour, Ashraf M. "Generalized Thermoelasticity Theories for Axisymmetric Hollow Cylinders Under Thermal Shock with Variable Thermal Conductivity." Journal of Molecular and Engineering Materials 06, no. 03n04 (September 2018): 1850006. http://dx.doi.org/10.1142/s2251237318500065.

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Анотація:

The thermoelastic problem of clamped axisymmetric infinite hollow cylinders under thermal shock with variable thermal conductivity is presented. The outer surface of infinite hollow cylinder is considered to be thermally insulated while inner surface is subjected to an initial heating source. In addition, the cylinder is considered to be clamped at its inner and outer radii. Generalized thermoelasticity theories are used to deal with the field quantities. All generalized thermoelasticity theories such as Green and Lindsay, Lord and Shulman, and coupled thermoelasticity (CTE) are considered as special cases of the present theory. Effects of variable thermal conductivity and time parameters on radial displacement, temperature, and stresses of the hollow cylinders are investigated.

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