摘要
从横观各向同性体的Lekhnitskii通解出发 ,证明了Lehnitskii应力函数可用适当选择的复变量解析函数表示 ,并导出了应力分量、位移分量以及边界条件的复变函数表达式 .
This paper proves that Lekhnitskii's stress function of space axisymmetric problem can be represented by choosing two generalized analytic functions of complex variable reasonably, and deduces the expression of the components of stress,displacement and boundary condition in complex function. In the end, the stresses in a transversely isotropic elastic space with a spherical cavity is solved by using the formulae founded.
出处
《武汉大学学报（工学版）》
CAS
CSCD
北大核心
2002年第3期67-69,共3页
Engineering Journal of Wuhan University
关键词
弹性力学
横观各向同性
轴对称
解析函数
theory of elasticity
transversely isotropic
axisymmetric
analytic function
