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Journal articles on the topic 'Microtemperatures'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Deswal, Sunita, Devender Sheoran, and Kapil Kumar Kalkal. "A two-dimensional half-space problem in an initially stressed rotating medium with microtemperatures." Multidiscipline Modeling in Materials and Structures 16, no. 6 (2020): 1313–35. http://dx.doi.org/10.1108/mmms-05-2019-0104.

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PurposeThe purpose of this paper is to establish a model of two-dimensional half-space problem of linear, isotropic, homogeneous, initially stressed, rotating thermoelastic medium with microtemperatures. The expressions for different physical variables such as displacement distribution, stress distribution, temperature field and microtemperatures are obtained in the physical domain.Design/methodology/approachNormal mode analysis technique is adopted to procure the exact solution of the problem.FindingsNumerical computations have been carried out with the help of MATLAB programming, and the res

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2

Singh, Baljeet. "Propagation of Rayleigh Wave in a Thermoelastic Solid Half-Space with Microtemperatures." International Journal of Geophysics 2014 (2014): 1–6. http://dx.doi.org/10.1155/2014/474502.

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The Rayleigh surface wave is studied at a stress-free thermally insulated surface of an isotropic, linear, and homogeneous thermoelastic solid half-space with microtemperatures. The governing equations of the thermoelastic medium with microtemperatures are solved for surface wave solutions. The particular solutions in the half-space are applied to the required boundary conditions at stress-free thermally insulated surface to obtain the frequency equation of the Rayleigh wave. Some special cases are also derived. The non-dimensional speed of Rayleigh wave is computed numerically and presented g

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3

Selma, Meradji, Boudeliou Marwa, and Djebabla Abdelhak. "New stability number of the Timo- shenko system with only microtemperature effects and without thermal conductivity1." Eurasian Journal of Mathematical and Computer Applications 12, no. 1 (2024): 94–109. http://dx.doi.org/10.32523/2306-6172-2024-12-1-94-109.

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In this work, we study the asymptotic behavior of a thermoelastic Timoshenko system with dissipation due only to microtemperature effects and no thermal diffusivity. Under an appropriate new assumption about the coefficients of the system and by using the energy method, we prove that the unique dissipation due to microtemperatures is strong enough to stabilize the system exponentially.

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4

Foughali, Fouzia, and Fayssal Djellali. "On the stabilization of a thermoelastic laminated beam system with microtemperature effects." Studia Universitatis Babes-Bolyai Matematica 70, no. 2 (2025): 251–66. https://doi.org/10.24193/subbmath.2025.2.06.

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The present article investigates a one dimensional thermoelastic laminated beam with microtemperature effects. Using the energy method we prove in the case of zero thermal conductivity that the unique dissipation due to the microtemperatures is strong enough to exponentially stabilize the system if and only if the wave speeds of the system are equal. Our result is new and improves previous results in the literature.

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5

Ailawalia, Praveen, Sunil Sachdeva, and Devinder Pathania. "Plane strain problem in a rotating microstretch thermoelastic solid with microtemperatures." Theoretical and Applied Mechanics 44, no. 1 (2017): 51–82. http://dx.doi.org/10.2298/tam170102003a.

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A two-dimensional problem in an infinite microstretch thermoelastic solid with microtemperatures subjected to a mechanical source is studied. The medium is rotating with a uniform angular velocity ??. The normal mode analysis is used to obtain the exact expressions for the component of normal displacement, microtemperature, normal force stress, microstress tensor, temperature distribution, heat flux moment tensor and tangential couple stress. The effect of microrotation and stretch on the considered variables are illustrated graphically.

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6

Ailawalia, P., S. Budhiraja, and J. Singh. "Two-Dimensional Deformation in a Thermoelastic Solid with Microtemperatures Subjected to an Internal Heat Source." International Journal of Applied Mechanics and Engineering 23, no. 1 (2018): 5–21. http://dx.doi.org/10.1515/ijame-2018-0001.

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AbstractThe purpose of this paper is to study the two dimensional deformation in a generalized thermoelastic medium with microtemperatures having an internal heat source subjected to a mechanical force. The force is acting along the interface of generalized thermoelastic half space and generalized thermoelastic half space with microtemperatures having an internal heat source. The normal mode analysis has been applied to obtain the exact expressions for the considered variables. The effect of internal heat source and microtemperatures on the above components has been depicted graphically.

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7

Bitsadze, Lamara. "The Neumann Type Boundary Value Problem in the Theory of Thermoelasticity with Microtemperatures for a Plane with Circular Hole." Journal of Nature, Science & Technology 1, no. 3 (2021): 11–16. http://dx.doi.org/10.36937/janset.2021.003.003.

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This paper studies the linear theory of thermoelastic materials with inner structure whose particles,in addition to the classical displacement and temperature fields, possess microtemperatures. The present work considers the 2D equilibrium theory of thermoelasticity for solids with microtemperatures. This paper is devoted to the explicit solution of the Neumann type boundary value problem for an elastic plane, with microtemperatures having a circular hole. Special representations of the regular solutions of the considered equations are constructed by means of the elementary (harmonic, bi-harmo

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8

Kansal, Tarun. "Fundamental solutions in the theory of thermoelastic diffusive materials with microtemperatures and microconcentrations." Journal of Computational and Applied Mechanics 17, no. 2 (2022): 85–104. http://dx.doi.org/10.32973/jcam.2022.005.

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The main aim of this paper is to construct the fundamental solutions of a system of equations for isotropic thermoelastic diffusive materials with microtemperatures and microconcentrations in the case of steady oscillations in terms of elementary functions. In addition to this, the fundamental solutions of the system of equations of equilibrium theory of isotropic thermoelastic diffusivity materials with microtemperatures and microconcentrations are also established.

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9

Kansal, Tarun. "Linear analysis of micromorphic thermoelastic materials with microtemperatures and triple porosity." Theoretical and Applied Mechanics, no. 00 (2024): 8. https://doi.org/10.2298/tam240804008k.

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This paper seeks to establish the fundamental equations governing anisotropic micromorphic thermoelastic media with triple porosity and microtemperatures. The proposed model takes into account the influences of porosity and microtemperatures, both of which play significant roles in accurately capturing the behavior of specific materials. Additionally, the objective of the paper is to develop a fundamental solution for the system of equations under steady, pseudo-static, quasi-static oscillations, and equilibrium conditions.

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10

Ieşan, Dorin, and Ramón Quintanilla. "Second gradient thermoelasticity with microtemperatures." Electronic Research Archive 33, no. 2 (2025): 537–55. https://doi.org/10.3934/era.2025025.

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<p>This research was concerned with a linear theory of thermoelasticity with microtemperatures where the second thermal displacement gradient and the second gradient of microtemperatures are included in the classical set of independent constitutive variables. The master balance laws of micromorphic continua, the theory of the strain gradient of elasticity, and Green-Naghdi thermomechanics were used to derive a second gradient theory. The semigroup theory of linear operators allowed us to prove that the problem of the second gradient thermoelasticity with microtemperatures is well-posed.

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11

Aouadi, M., F. Passarella, and V. Tibullo. "Exponential stability in Mindlin’s Form II gradient thermoelasticity with microtemperatures of type III." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2241 (2020): 20200459. http://dx.doi.org/10.1098/rspa.2020.0459.

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In this paper, we derive a nonlinear strain gradient theory of thermoelastic materials with microtemperatures taking into account micro-inertia effects as well. The elastic behaviour is assumed to be consistent with Mindlin’s Form II gradient elasticity theory, while the thermal behaviour is based on the entropy balance of type III postulated by Green and Naghdi for both temperature and microtemperatures. The work is motivated by increasing use of materials having microstructure at both mechanical and thermal levels. The equations of the linear theory are also obtained. Then, we use the semigr

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12

Rezaiguia, Ali, Salah Zitouni, and Hasan Nihal Zaidi. "Exponential Decay of Swelling Porous Elastic Soils with Microtemperatures Effects." Journal of Mathematics 2023 (June 13, 2023): 1–9. http://dx.doi.org/10.1155/2023/6013085.

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In this article, we considered the one-dimensional swelling problem in porous elastic soils with microtemperatures effects in the case of fluid saturation. First, we showed that the system is well-posed in the sens of semigroup. Then, we constructed a suitable Lyapunov functional based on the energy method and we proved that the dissipation given only by the microtemperatures is strong enough to provoke an exponential stability for the solution irrespective of the wave speeds of the system.

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13

Marin, Marin, Sorin Vlase, Eduard M. Craciun, Nicolae Pop, and Ioan Tuns. "Some Results in the Theory of a Cosserat Thermoelastic Body with Microtemperatures and Inner Structure." Symmetry 14, no. 3 (2022): 511. http://dx.doi.org/10.3390/sym14030511.

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This study is concerned with the theory of Cosserat thermoelastic media, whose micro-particles possess microtemperatures. The mixed initial boundary value problem considered in this context is transformed in a temporally evolutionary equation on a Hilbert space. Using some results from the theory of semigroups, the existence and uniqueness of solution is proved. In the same manner, it approached the continuous dependence of the solution upon initial data and loads. From what we have studied, neither on the internet nor in the databases, we have not found qualitative issues addressed regarding

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14

Othman, Mohamed I. A., Ramadan S. Tantawi, and Mohamed I. M. Hilal. "Laser pulses and rotation effects with the temperature-dependent properties in micropolar thermoelastic solids with microtemperatures." Multidiscipline Modeling in Materials and Structures 15, no. 2 (2019): 418–36. http://dx.doi.org/10.1108/mmms-03-2018-0038.

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PurposeThe purpose of this paper is to report effect of rotation of micropolar thermoelastic solid with microtemperatures heated by laser pulses. The problem was solved analytically to obtain the expressions of the physical quantities.Design/methodology/approachThe analytical method used was the normal mode.FindingsNumerical results for the physical quantities were presented graphically and the results were analyzed. The comparisons were established in variant cases of the effects used and then shown graphically.Originality/valueIn the present work, the authors shall discuss the effect of rota

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15

Chirilă, Adina, and Marin Marin. "Spatial behaviour of thermoelasticity with microtemperatures and microconcentrations." ITM Web of Conferences 34 (2020): 02001. http://dx.doi.org/10.1051/itmconf/20203402001.

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We consider a thermoelastic material with microtemperatures and microconcentrations. The mathematical model is represented by a system of partial diﬀerential equations with the coupling of the displacement, temperature, chemical potential, microconcentrations and microtemperatures ﬁelds. The processes of heat and mass diﬀusion play an important role in many engineering applications, such as satellite problems, manufacturing of integrated circuits or oil extractions. We study the spatial behaviour in a prismatic cylinder occupied by an anisotropic and inhomogeneous material. We impose ﬁnal pres

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16

Codarcea-Munteanu, Lavinia, and Marin Marin. "Influence of Geometric Equations in Mixed Problem of Porous Micromorphic Bodies with Microtemperature." Mathematics 8, no. 8 (2020): 1386. http://dx.doi.org/10.3390/math8081386.

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The study of the mixed initial-boundary value problem, corresponding to the thermoelasticity of porous micromorphic materials under the influence of microtemperatures, represents the main objective of this article. Achieving qualitative results on the existence, uniqueness and continuous dependence on the initial data and loads, of the solution of the mixed problem, implies a new perspective of approaching these topics, imposed by the large number of unknowns, which increases the complexity of equations and conditions that characterize the thermoelastic porous micromorphic materials with micro

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17

Casas, Pablo S., and Ramón Quintanilla. "Exponential stability in thermoelasticity with microtemperatures." International Journal of Engineering Science 43, no. 1-2 (2005): 33–47. http://dx.doi.org/10.1016/j.ijengsci.2004.09.004.

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18

Fernández, J. R., and M. Masid. "A porous thermoelastic problem with microtemperatures." Journal of Thermal Stresses 40, no. 2 (2016): 145–66. http://dx.doi.org/10.1080/01495739.2016.1249038.

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19

Pamplona, Paulo Xavier, Jaime E. Muñoz Rivera, and Ramón Quintanilla. "Analyticity in porous-thermoelasticity with microtemperatures." Journal of Mathematical Analysis and Applications 394, no. 2 (2012): 645–55. http://dx.doi.org/10.1016/j.jmaa.2012.04.024.

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20

Ieşan, D., and A. Scalia. "Plane deformation of elastic bodies with microtemperatures." Mechanics Research Communications 37, no. 7 (2010): 617–21. http://dx.doi.org/10.1016/j.mechrescom.2010.09.005.

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21

Fernández, J. R., and R. Quintanilla. "Two-temperatures thermo-porous-elasticity with microtemperatures." Applied Mathematics Letters 111 (January 2021): 106628. http://dx.doi.org/10.1016/j.aml.2020.106628.

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22

Ieşan, D. "Thermoelasticity of bodies with microstructure and microtemperatures." International Journal of Solids and Structures 44, no. 25-26 (2007): 8648–62. http://dx.doi.org/10.1016/j.ijsolstr.2007.06.027.

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23

Marin, Marin, Dumitru Baleanu, and Sorin Vlase. "Effect of microtemperatures for micropolar thermoelastic bodies." Structural Engineering and Mechanics 61, no. 3 (2017): 381–87. http://dx.doi.org/10.12989/sem.2017.61.3.381.

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24

Quintanilla, D. Iesan, R. "ON A THEORY OF THERMOELASTICITY WITH MICROTEMPERATURES." Journal of Thermal Stresses 23, no. 3 (2000): 199–215. http://dx.doi.org/10.1080/014957300280407.

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25

Aouadi, Moncef, Michele Ciarletta, and Francesca Passarella. "Thermoelastic theory with microtemperatures and dissipative thermodynamics." Journal of Thermal Stresses 41, no. 4 (2017): 522–42. http://dx.doi.org/10.1080/01495739.2017.1383219.

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26

Chiriţă, Stan, Michele Ciarletta, and Ciro D’Apice. "On the theory of thermoelasticity with microtemperatures." Journal of Mathematical Analysis and Applications 397, no. 1 (2013): 349–61. http://dx.doi.org/10.1016/j.jmaa.2012.07.061.

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27

Ieşan, Dorin, and Ramon Quintanilla. "Qualitative properties in strain gradient thermoelasticity with microtemperatures." Mathematics and Mechanics of Solids 23, no. 2 (2017): 240–58. http://dx.doi.org/10.1177/1081286516680860.

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This paper is devoted to the strain gradient theory of thermoelastic materials whose microelements possess microtemperatures. The work is motivated by an increasing use of materials which possess thermal variation at a microstructure level. In the first part of this paper we deduce the system of basic equations of the linear theory and formulate the boundary-initial-value problem. We establish existence, uniqueness, and continuous dependence results by the means of semigroup theory. Then, we study the one-dimensional problem and establish the analyticity of solutions. Exponential stability and

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28

Steeb, Holger, Jaswant Singh, and Sushil Kumar Tomar. "Time harmonic waves in thermoelastic material with microtemperatures." Mechanics Research Communications 48 (March 2013): 8–18. http://dx.doi.org/10.1016/j.mechrescom.2012.11.006.

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29

Ieşan, D., and R. Quintanilla. "On thermoelastic bodies with inner structure and microtemperatures." Journal of Mathematical Analysis and Applications 354, no. 1 (2009): 12–23. http://dx.doi.org/10.1016/j.jmaa.2008.12.017.

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30

Quintanilla, Ramon. "On the Logarithmic Convexity in Thermoelasticity with Microtemperatures." Journal of Thermal Stresses 36, no. 4 (2013): 378–86. http://dx.doi.org/10.1080/01495739.2013.770701.

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31

Aouadi, Moncef, Michele Ciarletta, and Vincenzo Tibullo. "A thermoelastic diffusion theory with microtemperatures and microconcentrations." Journal of Thermal Stresses 40, no. 4 (2016): 486–501. http://dx.doi.org/10.1080/01495739.2016.1225271.

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32

Bazarra, Noelia, Marco Campo, and José R. Fernández. "A thermoelastic problem with diffusion, microtemperatures, and microconcentrations." Acta Mechanica 230, no. 1 (2018): 31–48. http://dx.doi.org/10.1007/s00707-018-2273-5.

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33

Fernández, J. R., and R. Quintanilla. "A higher-order porous thermoelastic problem with microtemperatures." Applied Mathematics and Mechanics 44, no. 11 (2023): 1911–26. http://dx.doi.org/10.1007/s10483-023-3049-8.

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34

Djeradi, Fatima, Fares Yazid, and Nadhir Chougui. "ASYMPTOTIC STABILITY OF POROUS THERMOELASTIC SYSTEM WITH INFINITE HISTORY, MICROTEMPERATURES EFFECTS AND VARYING DELAY." Eurasian Journal of Mathematical and Computer Applications 11, no. 3 (2023): 22–47. http://dx.doi.org/10.32523/2306-6172-2023-11-3-22-47.

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This work is concerned with a one-dimensional porous thermoelastic system with microtemperatures effects, past history term acting only on the porous equation, and a time- varying delay term in the internal feedbacks. We first give the well-posedness of the system by using the semigroup method. Then, we establish the global existence as well as energy decay results of solutions, under appropriate conditions on the parameters of the problem.

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35

Bazarra, N., J. R. Fernández, and R. Quintanilla. "A dual-phase-lag porous-thermoelastic problem with microtemperatures." Electronic Research Archive 30, no. 4 (2022): 1236–62. http://dx.doi.org/10.3934/era.2022065.

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<abstract><p>In this work, we consider a multi-dimensional dual-phase-lag problem arising in porous-thermoelasticity with microtemperatures. An existence and uniqueness result is proved by applying the semigroup of linear operators theory. Then, by using the finite element method and the Euler scheme, a fully discrete approximation is numerically studied, proving a discrete stability property and a priori error estimates. Finally, we perform some numerical simulations to demonstrate the accuracy of the approximation and the behavior of the solution in one- and two-dimensional probl

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36

Kumar, Rajneesh, Mandeep Kaur, and SC Rajvanshi. "Plane wave propagation in microstretch thermoelastic medium with microtemperatures." Journal of Vibration and Control 21, no. 16 (2014): 3403–16. http://dx.doi.org/10.1177/1077546314522678.

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37

Ieşan, D. "Singular Surfaces in the Theory of Thermoelasticity with Microtemperatures." Journal of Thermal Stresses 32, no. 12 (2009): 1279–92. http://dx.doi.org/10.1080/01495730903310631.

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38

Quintanilla, R. "On Growth and Continuous Dependence in Thermoelasticity with Microtemperatures." Journal of Thermal Stresses 34, no. 9 (2011): 911–22. http://dx.doi.org/10.1080/01495739.2011.586278.

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39

Quintanilla, Ramón. "Impossibility of localization in thermo-porous-elasticity with microtemperatures." Acta Mechanica 207, no. 3-4 (2008): 145–51. http://dx.doi.org/10.1007/s00707-008-0115-6.

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40

Jaiani, George. "Differential hierarchical models for elastic prismatic shells with microtemperatures." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 95, no. 1 (2013): 77–90. http://dx.doi.org/10.1002/zamm.201300016.

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41

Jaiani, George, and Lamara Bitsadze. "On basic problems for elastic prismatic shells with microtemperatures." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 96, no. 9 (2015): 1082–88. http://dx.doi.org/10.1002/zamm.201400172.

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42

Bazarra, N., M. I. M. Copetti, J. R. Fernández, and R. Quintanilla. "Numerical analysis of a dual-phase-lag model with microtemperatures." Applied Numerical Mathematics 166 (August 2021): 1–25. http://dx.doi.org/10.1016/j.apnum.2021.03.016.

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43

Giorgashvili, L., and S. Zazashvili. "Mathematical problems of thermoelasticity of bodies with microstructure and microtemperatures." Transactions of A. Razmadze Mathematical Institute 171, no. 3 (2017): 350–78. http://dx.doi.org/10.1016/j.trmi.2017.04.002.

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44

Passarella, F., V. Tibullo, and G. Viccione. "Rayleigh waves in isotropic strongly elliptic thermoelastic materials with microtemperatures." Meccanica 52, no. 13 (2016): 3033–41. http://dx.doi.org/10.1007/s11012-016-0591-z.

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45

Ciarletta, M., F. Passarella, and V. Tibullo. "Plane harmonic waves in strongly elliptic thermoelastic materials with microtemperatures." Journal of Mathematical Analysis and Applications 424, no. 2 (2015): 1186–97. http://dx.doi.org/10.1016/j.jmaa.2014.11.065.

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46

Scalia, Antonio, and Merab Svanadze. "Potential Method in the Linear Theory of Thermoelasticity with Microtemperatures." Journal of Thermal Stresses 32, no. 10 (2009): 1024–42. http://dx.doi.org/10.1080/01495730903103069.

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47

Scalia, Antonio, Merab Svanadze, and Rita Tracinà. "Basic Theorems in the Equilibrium Theory of Thermoelasticity with Microtemperatures." Journal of Thermal Stresses 33, no. 8 (2010): 721–53. http://dx.doi.org/10.1080/01495739.2010.482348.

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48

Jaiani, George, and Lamara Bitsadze. "Basic problems of thermoelasticity with microtemperatures for the half-space." Journal of Thermal Stresses 41, no. 9 (2018): 1101–14. http://dx.doi.org/10.1080/01495739.2018.1464415.

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49

Marin, Marin, Adina Chirilă, and Lavinia Codarcea-Munteanu. "On a thermoelastic material having a dipolar structure and microtemperatures." Applied Mathematical Modelling 80 (April 2020): 827–39. http://dx.doi.org/10.1016/j.apm.2019.11.022.

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50

Svanadze, Merab. "Boundary Value Problems of the Theory of Thermoelasticity with Microtemperatures." PAMM 3, no. 1 (2003): 188–89. http://dx.doi.org/10.1002/pamm.200310368.

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