The effect of magnetic field on a thermoelastic fiber-reinforced material under GN-III theory

被引：28

作者：

Alzahrani, Faris S. ^{[1
,3
]}

Abbas, Ibrahim A. ^{[2
,3
,4
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[2] Univ Jeddah, Fac Sci & Arts Khulais, Dept Math, Jeddah, Saudi Arabia

[3] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah, Saudi Arabia

[4] Sohag Univ, Dept Math, Fac Sci, Sohag, Egypt

来源：

STEEL AND COMPOSITE STRUCTURES | 2016年 / 22卷 / 02期

关键词：

analytical solution; magnetothermoelasticity; fiber-reinforced material; eigenvalue approach; Green and Naghdi theory; ANISOTROPIC HALF-SPACE; MAGNETOTHERMOELASTIC MEDIUM; EIGENVALUE APPROACH; GENERALIZED THERMOELASTICITY; WAVE-PROPAGATION; SURFACE-WAVES; PLANE-WAVES; 2-D PROBLEM; ROTATION; CYLINDER;

D O I：

10.12989/scs.2016.22.2.369

中图分类号：

TU [建筑科学];

学科分类号：

0813 ;

摘要：

In this work, the two-dimensional generalized magneto-thermoelastic problem of a fiber-reinforced anisotropic material is investigated under Green and Naghdi theory of type III. The solution will be obtained for a certain model when the half space subjected to ramp-type heating and traction free surface. Laplace and exponential Fourier transform techniques are used to obtain the analytical solutions in the transformed domain by the eigenvalue approach. The inverses of Fourier transforms are obtained analytically. The results have been verified numerically and are represented graphically. Comparisons are made with the results predicted by the presence and absence of reinforcement and magnetic field.

引用

页码：369 / 386

页数：18

共 34 条

[1] A DUAL PHASE LAG MODEL ON THERMOELASTIC INTERACTION IN AN INFINITE FIBER-REINFORCED ANISOTROPIC MEDIUM WITH A CIRCULAR HOLE [J].

Abbas, Ibrahim A. .

MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, 2015, 43 (04) :501-513

[2] Eigenvalue approach in a three-dimensional generalized thermoelastic interactions with temperature-dependent material properties [J].

Abbas, Ibrahim A. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2014, 68 (12) :2036-2056

[3] Eigenvalue approach to fractional order generalized magneto-thermoelastic medium subjected to moving heat source [J].

Abbas, Ibrahim A. .

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2015, 377 :452-459

[4] A GN model for thermoelastic interaction in an unbounded fiber-reinforced anisotropic medium with a circular hole [J].

Abbas, Ibrahim A. .

APPLIED MATHEMATICS LETTERS, 2013, 26 (02) :232-239

[5] Generalized Magneto-thermoelastic Interaction in a Fiber-Reinforced Anisotropic Hollow Cylinder [J].

Abbas, Ibrahim A. .

INTERNATIONAL JOURNAL OF THERMOPHYSICS, 2012, 33 (03) :567-579

[6] Generalized thermoelastic interaction in a fiber-reinforced anisotropic half-space under hydrostatic initial stress [J].

Abbas, Ibrahim A. ;

Othman, Mohamed I. A. .

JOURNAL OF VIBRATION AND CONTROL, 2012, 18 (02) :175-182

[7] Generalized Magneto-thermoelasticity in a Fiber-Reinforced Anisotropic Half-Space [J].

Abbas, Ibrahim A. ;

Abd-alla, Abo-el-nour N. ;

Othman, Mohamed I. A. .

INTERNATIONAL JOURNAL OF THERMOPHYSICS, 2011, 32 (05) :1071-1085

[8]

Das NC, 1997, INDIAN J PURE AP MAT, V28, P1573

[9]

DHALIWAL RS, 1980, Q APPL MATH, V38, P1

[10]

Green A.E., 1972, J ELASTICITY, V2, P1, DOI [DOI 10.1007/BF00045689, DOI 10.1093/QJMAM/25.1.1]

← 1 2 3 4 →