On wave propagation in a rotating random micropolar generalized thermoelastic medium

doi:10.1080/01495739.2019.1691962

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On wave propagation in a rotating random micropolar generalized thermoelastic medium

Journal Article•DOI•

On wave propagation in a rotating random micropolar generalized thermoelastic medium

M. Choudhury¹, U. Basu¹, R.K. Bhattacharyya¹•Institutions (1)

University of Calcutta¹

01 Feb 2020-Journal of Thermal Stresses (Informa UK Limited)-Vol. 43, Iss: 2, pp 225-246

TL;DR: In this paper, the problem of wave propagation in a rotating random micropolar generalized thermoelastic medium was examined. The entire frame of reference was assumed to be rotating with a uniform angula.

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Abstract: This article examines the problem of wave propagation in a rotating random micropolar generalized thermoelastic medium. The entire frame of reference is assumed to be rotating with a uniform angula...

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Journal Article•DOI•

Magnetophotothermal interaction in a rotating solid cylinder of semiconductor silicone material with time dependent heat flow

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A. E. Abouelregal¹•Institutions (1)

Mansoura University¹

01 Jan 2021-Applied Mathematics and Mechanics-english Edition

TL;DR: In this article, a mathematical model linking thermoelasticity to photothermal experiments is proposed with the consideration of the photothermal effect, and the system equations for coupled plasma, heat conduction with phase-lags (PLs), and motion equations are introduced and solved by using the Laplace transform technique.

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Abstract: A mathematical model linking thermoelasticity to photothermal experiments is proposed with the consideration of the photothermal effect. The system equations for coupled plasma, heat conduction with phase-lags (PLs), and motion equations are introduced and solved by using the Laplace transform technique. The photothermal, thermal, and elastic waves in a rotating solid cylinder of semiconductor material are analyzed with the proposed model. The cylinder surface is constrained and subjected to a time-dependent pulse heat flux. The sensitivity of the physical fields for the angular velocity, PLs, and thermal vibration parameters is investigated. In addition, the effects of the effective parameters on the physical quantities are graphically illustrated and discussed in detail.

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15 citations

Journal Article•DOI•

Thermoelastic waves in a fractional-order initially stressed micropolar diffusive porous medium

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Anand Kumar Yadav

08 Apr 2021-Journal of Ocean Engineering and Science

TL;DR: In this article, the wave propagation in an initially stressed micropolar fractional-order derivative thermoelastic diffusion medium with voids was analyzed and the velocity equations were obtained.

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14 citations

Journal Article•DOI•

Waves in a nonlocal micropolar thermoelastic half-space with voids under dual-phase-lag model

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Ramesh Kumar¹, Devender Sheoran¹, Seema Thakran², Kapil Kumar Kalkal¹•Institutions (2)

Guru Jambheshwar University of Science and Technology¹, ITM University, Gurgaon, Haryana²

11 Oct 2021-Waves in Random and Complex Media

9 citations

Journal Article•DOI•

Study of Thermoelectric Responses of a Conductive Semi-Solid Surface to Variable Thermal Shock in the Context of the Moore–Gibson–Thompson Thermoelasticity

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03 Jul 2023-Axioms

TL;DR: In this paper , the Moore-Gibson-Thompson (MGT) concept of thermal conductivity is applied to a two-dimensional elastic solid in the form of a half-space.

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Abstract: In this study, the Moore–Gibson–Thompson (MGT) concept of thermal conductivity is applied to a two-dimensional elastic solid in the form of a half-space. This model was constructed using Green and Naghdi’s thermoelastic model to address the infinite velocity problem of heat waves. It has been taken into account that the free surface of the medium is immersed in an electromagnetic field of constant intensity, undergoes thermal shock, and rotates with a uniform angular velocity. The governing equations of a modified version of Ohm’s law account for the impact of temperature gradients and charge densities. By using the method of normal mode analysis, an analytical representation of the studied physical fields was obtained. The effect of rotation and the modulus of modified Ohm’s law on the responses of the field distributions examined is discussed, along with accompanying graphical representations. Other thermoelastic models have been compared with the results of the proposed system when the relaxation time is ignored.

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References

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Journal Article•DOI•

A generalized dynamical theory of thermoelasticity

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H.W. Lord¹, H.W. Lord², Y. Shulman², Y. Shulman¹•Institutions (2)

University of Western Ontario¹, Northwestern University²

01 Sep 1967-Journal of The Mechanics and Physics of Solids

TL;DR: In this article, a generalized dynamical theory of thermoelasticity is formulated using a form of the heat transport equation which includes the time needed for acceleration of heat flow.

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Abstract: In this work a generalized dynamical theory of thermoelasticity is formulated using a form of the heat transport equation which includes the time needed for acceleration of the heat flow. The theory takes into account the coupling effect between temperature and strain rate, but the resulting coupled equations are both hyperbolic. Thus, the paradox of an infinite velocity of propagation, inherent in the existing coupled theory of thermoelasticity, is eliminated. A solution is obtained using the generalized theory which compares favourably with a known solution obtained using the conventional coupled theory.

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3,266 citations

"On wave propagation in a rotating r..." refers background or methods in this paper

...Also, dlk ¼ 1, t1 ¼ 0 for the Lord–Shulman (L-S) theory and dlk ¼ 0, t1 > 0 for the Green–Lindsay (G-L) theory....
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...(i) Generalized thermoelasticity developed by Lord and Shulman [7] and Green–Lindsay [5] has been employed....
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...Following Lord and Shulman [7] and Green and Lindsay [5], Kumar and Singh [8] then investigated the phenomena of reflection of micropolar thermoelastic waves from the flat boundary of a micropolar generalized thermoelastic solid halfspace with stretch....
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...[7] H. W. Lord and Y. Shulman, “A generalized dynamical theory of thermo-elasticity,” J. Mech....
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Book•DOI•

Microcontinuum field theories

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A. Cemal Eringen

01 Jan 1999

1,585 citations

Report•DOI•

Linear theory of micropolar elasticity

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A C Eringen

01 Sep 1965

TL;DR: In this article, a special class of micro-elastic materials called Micropolar Solids are presented for couple stress and distributed body couples, and the couple stress theory is shown to emanate as a spacial case of the present theory.

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Abstract: : Equations of motion, constitutive equations and boundary conditions are presented for a special class of micro-elastic materials called Micropolar Solids. These solids respond to micro-rotational motions and spin inertia and can support couple stress and distributed body couples. The couple stress theory is shown to emanate as a spacial case of the present theory when the motion is constrained so that micro- and macro-rotations coincide. Several energy and uniqueness theorems are given.

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929 citations

"On wave propagation in a rotating r..." refers background in this paper

...Eringen [2] and Nowacki [3] extended the theory of micropolar elasticity to micropolar coupled thermoelasticity by discussing thermal effects....
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...Eringen [2] included the effect of axial stretch on account of the rotation of molecules and developed the theory of micropolar elastic solid with stretch....
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...References [1] A. C. Eringen and E. S. Suhubi, “Non-linear theory of simple micro-elastic solids I, II,” Int....
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...Introduction Eringen and Suhubi [1] initially propounded the theory of micropolar media with microstructure and associated microrotation as in a granular medium....
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...[2] A. C. Eringen, Foundations of Micropolar Thermoelasticity, International Center for Mechanical Science, Courses and Lectures, No. 23....
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Wave propagation in random media.

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Uriel Frisch

31 Oct 1970

528 citations

Journal Article•DOI•

Nonlinear theory of micro-elastic solids—II☆

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E.S. Suhubl¹, A. Cemal Eringen¹•Institutions (1)

Purdue University¹

01 Oct 1964-International Journal of Engineering Science

TL;DR: In this paper, the specific form of constitutive equations for isotropic micro-elastic materials, various approximate theories, the linear and the determinate theory of couple stress, were obtained and applied to the study of the Rayleigh surface waves in microelasticity.

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419 citations