Analytical solution of a special non-homogeneous pyroelectric hollow cylinder for piezothermoelastic axisymmetric plane strain dynamic problems

被引：22
作者：
Ding, HJ [1 ]
Wang, HM
Chen, WQ
机构：
[1] Zhejiang Univ, Dept Civil Engn, Hangzhou 310027, Peoples R China
[2] Zhejiang Univ, Dept Mech, Hangzhou 310027, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 151卷 / 02期
基金：
中国国家自然科学基金;
关键词：
piezothermoelasticity; pyroelectric medium; non-homogeneous hollow cylinder; thermal shock; integral equation;
D O I：
10.1016/S0096-3003(03)00352-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By virtue of the introduction of a dependant variable and the separation of variables technique, the piezothermoelastic axisymmetric plane strain dynamic problem of a special non-homogeneous pyroelectric hollow cylinder is transformed to a Volterra integral equation of the second kind about a function with respect to time, which can be solved successfully by means of the interpolation method. Then the solutions of displacements, stresses, electric displacements and electric potential are obtained. The present method is suitable for a non-homogeneous pyroelectric hollow cylinder with an arbitrary thickness subjected to arbitrary axisymmetric thermal loads. Numerical results are presented graphically. (C) 2003 Elsevier Inc. All rights reserved.
引用
收藏
页码：423 / 441
页数：19
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