Effect of modified Ohm's and Fourier's laws on magneto thermo-viscoelastic waves with Green-Naghdi theory in a homogeneous isotropic hollow cylinder

被引：5

作者：

Khamis, A. K. ^{[1
]}

Nasr, Amir Mohamed Abdel Allah ^{[2
]}

El-Bary, A. A. ^{[3
,4
]}

Atef, Haitham M. ^{[5
]}

机构：

[1] Northern Border Univ, Fac Sci, Dept Math, Ar Ar, Saudi Arabia

[2] Northern Border Univ, Coll Business Adm, Dept Stat & Quantitat Methods, Ar Ar, Saudi Arabia

[3] Arab Acad Sci & Technol, Basic & Appl Sci Inst, Alexandria, Egypt

[4] Acad Sci Res & Technol, Natl Comm Math, Cairo, Egypt

[5] Damanhur Univ, Fac Sci, Dept Math, Damanhur, Egypt

来源：

INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES | 2021年 / 8卷 / 06期

关键词：

Thermal stress; Generalized magneto-thermo-viscoelastic; Solid cylinder; Thermal shock; Laplace transform technique; Modified Ohm's and Fourier's laws; FRACTIONAL-ORDER; SURFACE-WAVES; THERMOELASTICITY; ROTATION; FIELD;

D O I：

10.21833/ijaas.2021.06.005

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

This paper deals with the modified Ohm's law, including the temperature gradient and charge density effects, and the generalized Fourier's law, including the present current density impact, the problem of conveyance of thermal stresses and temperature in a generalized Magneto-Thermo-Viscoelastic Solid Cylinder of radius L. The formulation is applied to the generalized thermoelasticity dependent on the Green-Naghdi (G-N II) hypothesis. The Laplace change system is utilized to solve the problem. At last, the outcomes got are introduced graphically to show the impact of Magnetic Field and time and on the field variables. (c) 2021 The Authors. Published by IASE. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

引用

页码：40 / 47

页数：8

共 39 条

[1] Time-harmonic sources in a generalized magneto-thermo-viscoelastic continuum with and without energy dissipation [J].

Abd-Alla, A. M. ;

Abo-Dahab, S. M. .

APPLIED MATHEMATICAL MODELLING, 2009, 33 (05) :2388-2402

[2]

Abd-Alla A. M., 2011, INT REV PHYS, V5, P171, DOI DOI 10.1080/01495739.2012.720209

[3] Magneto-thermo-viscoelastic interactions in an unbounded body with a spherical cavity subjected to a periodic loading [J].

Abd-Alla, AM ;

Hammad, HAH ;

Abo-Dahab, SM .

APPLIED MATHEMATICS AND COMPUTATION, 2004, 155 (01) :235-248

[4]

Acharya D. P., 1978, Acta Geophysica Polonica, V26, P299

[5] Modification of Kelvin-Voigt Model in Fractional Order for Thermoviscoelastic Isotropic Material [J].

Amin, M. M. ;

El-Bary, A. A. ;

Atef, Haitham M. .

MATERIALS FOCUS, 2018, 7 (06) :824-832

[6] Effect of Viscous Fractional Parameter on Generalized Magneto Thermo-Viscoelastic Thin Slim Strip Exposed to Moving Heat Source [J].

Amin, Magdy M. ;

El-Bary, Alaa A. ;

Atef, Haitham M. .

MATERIALS FOCUS, 2018, 7 (06) :814-823

[7]

Atef, 2016, J COMPUT THEOR NANOS, V13, P1027, DOI DOI 10.1166/JCTN.2016.4332

[8] SPHERICALLY SYMMETRICAL THERMO-VISCO-ELASTIC WAVES IN A VISCOELASTIC MEDIUM WITH A SPHERICAL CAVITY [J].

BANERJEE, S ;

ROYCHOUDHURI, SK .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1995, 30 (01) :91-98

[9]

Bayones F.S., 2012, Adv. Theor. Appl. Mech., V5, P69

[10] Thermal flexural analysis of anti-symmetric cross-ply laminated plates using a four variable refined theory [J].

Belbachir, Nasrine ;

Bourada, Mohamed ;

Draiche, Kada ;

Tounsi, Abdelouahed ;

Bourada, Fouad ;

Bousahla, Abdelmoumen Anis ;

Mahmoud, S. R. .

SMART STRUCTURES AND SYSTEMS, 2020, 25 (04) :409-422

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