摘要
导出了正交各向异性弹性力学平面问题新的通解,该通解用一个位移函数ψ表示,由(?)可同时表示出应力分量和位移分量,克服了A_(iry)应力函数不易表示位移分量的缺点。这样,求解正交各向异性无体力的弹性力学平面问题时,只需求解一个ψ所要满足的方程,并使由(?)求导得的应力和位移满足边界条件。还推导了正交各向异性弹性力学平面问题的不连续应力和不连续位移两种基本解。
This paper derives a new general solution for orthotropic plane problems,which is expsessed by a displacement funtion .Both the stresses and displacements can be expressed by so that the lim- itation that displacement can not be exprecessed in terms of Airy′s stress function is overcome.When solving plane problems without body force, can be obtained by solving one equation,while the stresses and displacements derived from satisfy boundary conditions.As a primary application,two kinds of fundamental solutions are derived.
出处
《河海大学学报（自然科学版）》
CAS
CSCD
1992年第5期21-30,共10页
Journal of Hohai University(Natural Sciences)
关键词
弹性力学
通解
位移函数
基本解
elasticity
general solution
displacement function
fundamental solution
