含钉孔有限大板应力集中系数的解析变分解法

ANALYTICAL VARIATIONAL METHOD OF SOLUTION FOR STRESS CONCENTRATION FACTORS OF FINITE PLATES WITH A PIN HOLE

导出满足弹性理论平面问题所有支配方程的应力场与位移场的罗朗级数展开式；用变分方法满足含钉孔有限大板边界条件并确定级数中的系数与应力集中系数；

First of all,Laurent series expansions of stress and displacement fields satisfying all of the governing equations of plane problems in theory of elasticity are derived.Next,the variational method is applied to satisfy the boundary conditions of a plate with a pin hole.Then,the coefficients in Laurent series and the stress concentration factor can be determined.Finally,the convergency tests and systematical results are given for engineering applications.