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压电、压磁弹性体的空间问题研究
引用本文:关群,何顺荣.压电、压磁弹性体的空间问题研究[J].哈尔滨工业大学学报,2005,37(5):709-712.
作者姓名:关群  何顺荣
作者单位:合肥工业大学,土木建筑工程学院,安徽,合肥,230009;合肥工业大学,土木建筑工程学院,安徽,合肥,230009;中国科学技术大学,工程科学学院,安徽,合肥,230027
摘    要:从横观各向同性压电、压磁弹性体空间问题的基本方程出发,建立由位移、电势和磁势函数所表示的控制偏微分方程组,通过引入势函数来研究压电,压磁弹性体的空间问题一般解.针对压电、压磁半无限体受法向集中力作用,导出位移、应力、电位移、电势、磁感和磁势函数的具体表达式.

关 键 词:压电、压磁弹性体  横观各向同性  空间问题
文章编号:0367-6234(2005)05-0709-04
修稿时间:2004年3月2日

Study on problem of magneto-electro-elastic
GUAN Qun,HE Shun-rong.Study on problem of magneto-electro-elastic[J].Journal of Harbin Institute of Technology,2005,37(5):709-712.
Authors:GUAN Qun  HE Shun-rong
Affiliation:GUAN Qun~1,HE Shun-rong~
Abstract:The fundamental equation of the space problem for transversely isotropy piezoelectric/piezomagnetic and elastic media is observed. The control partial differential equation set that is expressed by the elastic displacement; electric potential and magnetism potential function are established. The general solution for three-dimensional transversely isotropic magneto-electro-elastic is derived by introducing the potential function. As an application of the general solution the problem of magneto-electro-elastic acted by a point force at the origin directed along the x-axis is solved and the concrete expression of function of the elastic displacement, stress, electric displacement, electric potential, magnetic induction and magnetism potential are obtained.
Keywords:magneto-electro-elastic media  transversely isotropy  space problem
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