On waves in a random micropolar conducting magneto-thermo-viscoelastic medium

doi:10.1080/15502287.2018.1430076

Home
/
Papers
/
On waves in a random micropolar conducting magneto-thermo-viscoelastic medium

Journal Article•DOI•

On waves in a random micropolar conducting magneto-thermo-viscoelastic medium

Rabindra Kumar Bhattacharyya¹•Institutions (1)

19 Mar 2018-International Journal for Computational Methods in Engineering Science and Mechanics (Taylor & Francis)-Vol. 19, Iss: 2, pp 82-101

TL;DR: In this article, the effects of random inhomogeneity on wave propagation in the interacting micropolar conducting magneto-generalized thermo-viscoelastic medium were studied.

read less

Abstract: Effects of random inhomogeneity on wave propagation in the interacting micropolar conducting magneto-generalized thermo-viscoelastic medium are studied. The couple stress theory relevant to...

...read moreread less

Citations

PDF

Open Access

More filters

Journal Article•DOI•

Introduction to wave propagation and scattering in random media

[...]

Akira Ishimaru¹•Institutions (1)

University of Washington¹

01 Dec 1985

38 citations

Journal Article•DOI•

On wave propagation in viscoelastic media

[...]

J. L. Davis¹•Institutions (1)

Picatinny Arsenal¹

01 Apr 1961-Journal of Polymer Science

TL;DR: In this paper, a mathematical analysis of wave propagation in a one-dimensional bounded viscoelastic medium under prescribed boundary conditions is made, and closed form expressions for wave velocity as a function of ratio of relaxation frequency to frequency of applied periodic displacement are obtained for the steady state part of the solution.

...read moreread less

Abstract: A mathematical analysis is made of the problem of wave propagation in a one-dimensional bounded viscoelastic medium under prescribed boundary conditions. Closed form expressions are obtained for viscoelastic waves for the case of a relaxation function involving a single relaxation time. An expression for the phase velocity as a function of ratio of relaxation frequency to frequency of applied periodic displacement is obtained for the steady state part of the solution. The generalization to a relaxation function involving a finite number of relaxation times is discussed, and a method is sketched out for solving the more general integropartial differential equation of motion. Comments are made on the molecular interpretation of viscoelastic models.

...read moreread less

9 citations

Journal Article•DOI•

Effect of magnetic field and three-phase-lag in a rotating micropolar thermo-viscoelastic half-space homogeneous isotropic material

[...]

S. M. Abo-Dahab¹, A. M. Abd-Alla², S. M. Ahmed, M. M. Rashid²•Institutions (2)

South Valley University¹, Sohag University²

04 May 2021-Waves in Random and Complex Media

TL;DR: In this paper, the effects of rotation, ramp parameter and magnetic field in a micropolar generalized thermo-viscoelastic medium were studied in a three-phase lag theory of thermoelasticity.

...read moreread less

Abstract: This paper is devoted to three-phase-lag theory of thermo-elasticity to study the effects of rotation, ramp parameter and magnetic field in a micropolar generalized thermo-viscoelastic medium. By e...

...read moreread less

7 citations

Cites background from "On waves in a random micropolar con..."

...Bhattacharyya [21] investigated the effect of magnetic field on the wave propagation in a random micropolar conducting thermoviscoelasticmedium....
[...]

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

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.

...read moreread less

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...

...read moreread less

4 citations

Cites background from "On waves in a random micropolar con..."

...All these studies, CONTACT R. K. Bhattacharyya rabindrakb@yahoo.com Department of Applied Mathematics, University of Calcutta, 92....
[...]
...[15] R. K. Bhattacharyya, “On waves in a random micropolar conducting magneto-thermo-viscoelastic medium,” Int....
[...]
...It has been shown that the mean field quantity, < V >, a seven-vector, representing the displacement vector, the micro-rotation vector, and temperature, satisfies an integro-differential equation involving the associated Green’s tensor which was computed by Mitra and Bhattacharyya [13]....
[...]
...Later, Bhattacharyya [25] used the same method to study wave propagation in the random magnetothermo-viscoelastic medium....
[...]
...[13] M. Mitra and R. K. Bhattacharyya, “On wave propagation in a random micropolar thermoelastic medium, second moments and associated Green’s tensor,” Waves Random Complex Media, vol. 25, no. 4, pp. 506–535, 2015....
[...]

References

PDF

Open Access

More filters

Book•

Table of Integrals, Series, and Products

[...]

I.S. Gradshteyn, I.M. Ryzhik, Alan Jeffrey, Y. V. Geronimus, M. Y. Tseytlin, Y. C. Fung¹ - Show less +2 more•Institutions (1)

University of California, San Diego¹

01 Jan 1943

TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform

...read moreread less

Abstract: 0 Introduction 1 Elementary Functions 2 Indefinite Integrals of Elementary Functions 3 Definite Integrals of Elementary Functions 4.Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integrals of Special Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequalities 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform

...read moreread less

27,354 citations

Book•

Wave propagation and scattering in random media

[...]

Akira Ishimaru

01 Jan 1978

TL;DR: This IEEE Classic Reissue presents a unified introduction to the fundamental theories and applications of wave propagation and scattering in random media and is expressly designed for engineers and scientists who have an interest in optical, microwave, or acoustic wave propagate and scattering.

...read moreread less

Abstract: A volume in the IEEE/OUP Series on Electromagnetic Wave Theory Donald G. Dudley, Series Editor This IEEE Classic Reissue presents a unified introduction to the fundamental theories and applications of wave propagation and scattering in random media. Now for the first time, the two volumes of Wave Propagation and Scattering in Random Media previously published by Academic Press in 1978 are combined into one comprehensive volume. This book presents a clear picture of how waves interact with the atmosphere, terrain, ocean, turbulence, aerosols, rain, snow, biological tissues, composite material, and other media. The theories presented will enable you to solve a variety of problems relating to clutter, interference, imaging, object detection, and communication theory for various media. This book is expressly designed for engineers and scientists who have an interest in optical, microwave, or acoustic wave propagation and scattering. Topics covered include:

...read moreread less

5,877 citations

Journal Article•DOI•

A generalized dynamical theory of thermoelasticity

[...]

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

Northwestern University¹, University of Western Ontario²

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.

...read moreread less

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.

...read moreread less

3,266 citations

"On waves in a random micropolar con..." refers methods in this paper

...The heat conduction equation along with the coupling model is considered under generalized thermoelasticity (Lord-Shulman [43] and Green-Lindsay [44])....
[...]

Book•DOI•

Microcontinuum field theories

[...]

A. Cemal Eringen

01 Jan 1999

1,585 citations

"On waves in a random micropolar con..." refers background in this paper

...Microstretch and micropolar continua and all other aspects of micropolar studies can be found in Eringen’s foundational treatises entitled Microcontinuum Field Theories [5]....
[...]
...[5] A. Eringen, Cemal, Microcontinuum Field Theories....
[...]

Report•DOI•

Linear theory of micropolar elasticity

[...]

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.

...read moreread less

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.

...read moreread less

929 citations

"On waves in a random micropolar con..." refers background in this paper

...Also j is a non-random micropolar constant such that j ≥ 0 [1]....
[...]
...The associated micro-rotational motions, spin, couple stress inertia, couple stress and distributed body couples pertaining to micropolar solids were defined ([1], [2])....
[...]
...Eringen [1] has published many pioneering papers and treatises on various aspects of micropolar elasticity....
[...]