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.
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.
出处
《哈尔滨工业大学学报》
EI
CAS
CSCD
北大核心
2005年第5期709-712,共4页
Journal of Harbin Institute of Technology
关键词
压电、压磁弹性体
横观各向同性
空间问题
Electric potential
Magnetic properties
Numerical analysis
Partial differential equations
Stresses
