共 22 条
Thermal shock problem for a fiber-reinforced anisotropic half-space placed in a magnetic field via G-N model
被引:26
|作者:
Zenkour, Ashraf M.
[1
,3
]
Abbas, Ibrahim A.
[2
,4
]
机构:
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[2] King Abdulaziz Univ, Fac Sci & Arts Khulais, Dept Math, Jeddah 21413, Saudi Arabia
[3] Kafrelsheikh Univ, Fac Sci, Dept Math, Kafr Al Sheikh 33516, Egypt
[4] Sohag Univ, Fac Sci, Dept Math, Sohag, Egypt
关键词:
Magneto-thermoelasticity;
Green-Naghdi's theory (GNII and GNIII);
Fiber-reinforced;
Half-space;
Thermal shock;
Finite element method;
UNIFIED PROCEDURE;
DEFORMABLE MEDIA;
PLANE-WAVES;
THERMOELASTICITY;
CONSTRUCTION;
RELAXATION;
ROTATION;
MHD;
D O I:
10.1016/j.amc.2014.08.052
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
The generalized magneto-thermoelasticity theory, based on Green-Naghdi model, is used to study the thermal shock problem of a fiber-reinforced anisotropic half-space. The solid half-space deforms because of thermal shock, and due to the application of the magnetic field. Maxwell's equations are formulated and the generalized coupled governing equations are derived. Finite element method with the Laplace transform technique is used to obtain the general solution. The distributions of the considered physical variables are represented graphically. The influence of the magnetic field is discussed. Some particular cases of special interest due to the application of two types of Green and Naghdi's theory have been deduced. (C) 2014 Elsevier Inc. All rights reserved.
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页码:482 / 490
页数:9
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