求解含裂纹正交各向异性平面问题应力强度因子的耦合法——位移间断法与边界元法的耦合

来源期刊：中南大学学报(自然科学版)1992年第4期

论文作者：文丕华 范太华 袁修贵

文章页码：468 - 474

关键词：耦合法; 应力强度因子; 含裂纹正交各向异性平面

Key words：Coupled method; stress intensity factor; crecked orthotropic plane

摘    要：本文在推导出正交各向异性平面位移间断基本解的基础上,建立了一组求解裂纹表面位移的方程,并较精确地求出应力强度因子K_I和K_Ⅱ.将这一方法与边界元法相耦合,解决了含孔洞及裂纹群复杂问题.随着边界单元数目的增大,数值结果迅速趋于某一极限(精确解).通过与现有数值结果比较,本耦合法具有很高的精度和极强的收敛性.

Abstract: With the fundamental solutions of displacement discontinuity for orthotropic plane problems,a set of equations for solving the displacements on the crack surface are established inthis paper. Then the stress intensity factors K_Ⅰ and K_Ⅱ are obtained very accurately. Coupled withboundary element method, this method can be used to deal with complex problems with many holesand one set of cracks. The numerical results tend to a limit (accurate solutions) very rapidly asthe amount of element increases. Compared with available numerical results, this coupled methodhas very high accuracy and strong convergency.