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Journal ArticleDOI: 10.1080/17455030.2019.1588482

Propagation of Rayleigh waves in modified couple stress generalized thermoelastic with a three-phase-lag model

04 Mar 2021-Waves in Random and Complex Media (Taylor & Francis)-Vol. 31, Iss: 2, pp 359-371
Abstract: The main aim of this article is to study the problem of propagation of Rayleigh waves in a homogeneous isotropic modified couple stress generalized thermoelastic medium. The formulation of the prob...

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Topics: Thermoelastic damping (62%), Rayleigh wave (61%), Isotropy (51%)
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10 results found


Open accessJournal ArticleDOI: 10.1093/JCDE/QWAA082
Abstract: A review of the recent studies on the generalized thermoelasticity theories and their associated modified models is presented. The aim is to outline an overview of the utilization and physical limitations of available relevant theories. By contrast to classical thermoelasticity theory, generalized thermoelasticity theories (second sound) can involve a hyperbolic-form transport correlation and are motivated by experiments illustrating more accurately of the wave-form heat transfer (second sound). Many researchers have formulated such theories on different fields and analyzed various problems, presenting characteristic properties of these theories. This paper expresses a self-included bibliographical review of previous documents in the area of the second sound. The general structure of this review contains theories, formulations, real limitations, and used solution techniques of the equations for different geometries and loadings. Given that the classical theory is feeble in simulating the temperature distribution, especially in the structures under a sudden thermal shock, this review may be a useful tool for researchers who work in sensitive industries such as steam turbines, micro-temperature sensors, and lithium battery manufacturing.

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5 Citations


Journal ArticleDOI: 10.1080/17455030.2020.1800861
Rakhi Tiwari1, J. C. Misra2Institutions (2)
Abstract: The present work is devoted to the study of the propagation of magneto-thermoelastic waves generated by a thermal shock in a finitely conducting elastic half-space. Three phase lag (TPL) theory of ...

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Topics: Thermoelastic damping (60%), Magneto (51%)

4 Citations


Journal ArticleDOI: 10.1016/J.EUROMECHSOL.2021.104235
Rakhi Tiwari1, Ravi Kumar2Institutions (2)
Abstract: Present study characterizes the propagation of harmonic plane waves in Eringen's non-local thermoelastic medium. Three phase lag (TPL) theory of thermoelasticity has been applied to account for the interactions between elastic and thermal fields. Two sets of coupled longitudinal waves (elastic and thermal) and one independent vertically shear wave have been achieved. Longitudinal waves are found to be dispersive and experience attenuation. All these waves are found to be influenced by the elastic non-local parameter. Further shear-type wave obtains a critical frequency while the coupled longitudinal waves may face critical frequencies conditionally. High and low frequency asymptotes of physical fields have been calculated. By considering an illustrative example, numerical results have been computed to explore the physics of the problem. The results for the TPL model have been compared with those for the dual phase lag theory. The study reveals that the distribution of phase velocities and attenuation coefficients for the TPL model are significantly different from those of the dual phase lag models with respect to the frequency as well as non-local elastic parameter. TPL theory is found to be capable in predicting better results as compare to the dual phase lag theory of thermoelasticity.

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Topics: Longitudinal wave (60%), Plane wave (57%), Thermoelastic damping (55%) ... show more

3 Citations


Journal ArticleDOI: 10.1080/17455030.2021.1887545
Ankit Bajpai1, Rajesh Kumar2, Pawan K. Sharma1Institutions (2)
Abstract: This article explores the effects of two temperatures on the combined problem of wave propagation and thermomechanical loading in a homogeneous isotropic plate. The governing equations are converte...

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Topics: Deformation (meteorology) (61%), Wave propagation (58%), Isotropy (53%)

3 Citations


Journal ArticleDOI: 10.1080/17455030.2021.1968538
Caiyuan Xiao1, Zhang Guiju1, PeiSi Hu, Yudong Yu  +2 moreInstitutions (2)
Abstract: This paper assesses thermoelastic damping (TED) in circular nanoplates by incorporation of the small-scale effect into structural and thermal domains. The nonlocal elasticity theory and dual-phase-...

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Topics: Thermoelastic damping (78%)

2 Citations


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23 results found


Journal ArticleDOI: 10.1016/S0020-7683(02)00152-X
Fan Yang1, Fan Yang2, Arthur C.M. Chong2, David Chuen Chun Lam2  +1 moreInstitutions (2)
Abstract: The deformation behavior of materials in the micron scale has been experimentally shown to be size dependent. In the absence of stretch and dilatation gradients, the size dependence can be explained using classical couple stress theory in which the full curvature tensor is used as deformation measures in addition to the conventional strain measures. In the couple stress theory formulation, only conventional equilibrium relations of forces and moments of forces are used. The couple's association with position is arbitrary. In this paper, an additional equilibrium relation is developed to govern the behavior of the couples. The relation constrained the couple stress tensor to be symmetric, and the symmetric curvature tensor became the only properly conjugated high order strain measures in the theory to have a real contribution to the total strain energy of the system. On the basis of this modification, a linear elastic model for isotropic materials is developed. The torsion of a cylindrical bar and the pure bending of a flat plate of infinite width are analyzed to illustrate the effect of the modification.

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2,270 Citations


Open accessJournal ArticleDOI: 10.1112/PLMS/S1-17.1.4
Topics: Surface wave (75%), Plane wave (72%), Lamb waves (72%) ... show more

1,402 Citations


Journal ArticleDOI: 10.1016/J.JMPS.2008.09.007
H. M. Ma1, Xin-Lin Gao1, J. N. Reddy1Institutions (1)
Abstract: A microstructure-dependent Timoshenko beam model is developed using a variational formulation. It is based on a modified couple stress theory and Hamilton's principle. The new model contains a material length scale parameter and can capture the size effect, unlike the classical Timoshenko beam theory. Moreover, both bending and axial deformations are considered, and the Poisson effect is incorporated in the current model, which differ from existing Timoshenko beam models. The newly developed non-classical beam model recovers the classical Timoshenko beam model when the material length scale parameter and Poisson's ratio are both set to be zero. In addition, the current Timoshenko beam model reduces to a microstructure-dependent Bernoulli–Euler beam model when the normality assumption is reinstated, which also incorporates the Poisson effect and can be further reduced to the classical Bernoulli–Euler beam model. To illustrate the new Timoshenko beam model, the static bending and free vibration problems of a simply supported beam are solved by directly applying the formulas derived. The numerical results for the static bending problem reveal that both the deflection and rotation of the simply supported beam predicted by the new model are smaller than those predicted by the classical Timoshenko beam model. Also, the differences in both the deflection and rotation predicted by the two models are very large when the beam thickness is small, but they are diminishing with the increase of the beam thickness. Similar trends are observed for the free vibration problem, where it is shown that the natural frequency predicted by the new model is higher than that by the classical model, with the difference between them being significantly large only for very thin beams. These predicted trends of the size effect in beam bending at the micron scale agree with those observed experimentally. Finally, the Poisson effect on the beam deflection, rotation and natural frequency is found to be significant, which is especially true when the classical Timoshenko beam model is used. This indicates that the assumption of Poisson's effect being negligible, which is commonly used in existing beam theories, is inadequate and should be individually verified or simply abandoned in order to obtain more accurate and reliable results.

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Topics: Timoshenko beam theory (76%), Beam (structure) (63%), Direct integration of a beam (63%) ... show more

906 Citations


Journal ArticleDOI: 10.1016/J.IJENGSCI.2012.12.002
Mesut Şimşek1, J. N. Reddy2Institutions (2)
Abstract: Static bending and free vibration of functionally graded (FG) microbeams are examined in this paper based on the modified couple stress theory (MCST) and various higher order beam theories (HOBTs). This non-classical microbeam model incorporates the material length scale parameter which can capture the size effect. The material properties of the FG microbeams are assumed to vary in the thickness direction and are estimated through the Mori–Tanaka homogenization technique. The governing equations and the related boundary conditions are derived using Hamilton’s principle. The Navier-type solution is developed for simply-supported boundary conditions. Numerical results are presented to investigate the influences the material length scale parameter, different material compositions, and shear deformation on the bending and free vibration behavior of FG microbeams. Some of the present results are compared with the previously published results to establish the validity of the present formulation. It is established that the present FG microbeams exhibit significant size-dependence when the thickness of the microbeam approaches to the material length scale parameter.

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Topics: Functionally graded material (57%), Microbeam (56%), Timoshenko beam theory (54%) ... show more

370 Citations


Journal ArticleDOI: 10.1080/01495730601130919
S. K. Roy Choudhuri1Institutions (1)
Abstract: A three-phase-lag model of the linearized theory of coupled thermoelasticity is formulated by considering the heat condition law that includes temperature gradient and the thermal displacement gradient among the constitutive variables. The Fourier law is replaced by an approximation to a modification of the Fourier law with three different translations for the heat flux vector, the temperature gradient and also for the thermal displacement gradient. The model formulated is an extension of the thermoelastic models proposed by Lord–Shulman, Green–Naghdi and Tzou.

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Topics: Thermoelastic damping (59%), Heat flux (54%), Temperature gradient (54%)

355 Citations