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二维各向异性压电介质机电耦合场的基本解
引用本文:刘金喜,王彪.二维各向异性压电介质机电耦合场的基本解[J].应用数学和力学,1997,18(10):885-891.
作者姓名:刘金喜  王彪
作者单位:石家庄铁道学院建工系!石家庄,050045,哈尔滨工业大学复合材料研究所!哈尔滨,150001,哈尔滨工业大学复合材料研究所!哈尔滨,150001
基金项目:国家自然科学基金,国家教委优秀年轻教师基金
摘    要:本文研究各向异性压电介质的机电耦台问题.应用平面波分解法和留数定理,首次得到了线力和线电荷作用下一般二维各向异性压电介质机电耦合场的基本解.本文的解适用于平面问题、反平面问题以及平面和反平面相互耦合问题.作为特例,文中给出了横观各向同性压电介质的基本解.

关 键 词:压电介质  平面波分解法  机电耦合场  基本解

Two-Dimensional Electroelastic Fundamental Solutions for General Anisotropic Piezoelectric Media
Liu Jinxi.Two-Dimensional Electroelastic Fundamental Solutions for General Anisotropic Piezoelectric Media[J].Applied Mathematics and Mechanics,1997,18(10):885-891.
Authors:Liu Jinxi
Abstract:Explicit fomulas for 2-D electroelastic fundamental solutions in general ani sotropic piezoelectric media subjected to a line force and a line charge are obtained by using the plane wave decomposition:method and a subsequent application of the residue calculus. "Anisotropic" means that any material symmetry restrictions are not assumed. "Two dimensional' includes not only in-plane problems but also anti-plane problems and problems in which in-plane and anti-plane deformations couple each other. As a special case, the solutions for transversely isotropic piezoelectric media are given.
Keywords:piezoelectric medium  plane wave decomposition method  electroelastic field  fundamental solution
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