含半球形缺陷无限大弹性体表面裂纹的数值分析  

New numerical analysis for cracks emanating from surfacesemi-spherical cavity in infinite elastic body

作　　者：刘宝良[1,2] 阎相桥[1] 肖新科[1] 

机构地区：[1]哈尔滨工业大学复合材料与结构研究所,哈尔滨150001 [2]黑龙江科技学院数力系,哈尔滨150027

出　　处：《黑龙江科技学院学报》2008年第6期466-469,共4页Journal of Heilongjiang Institute of Science and Technology

基　　金：国家自然科学基金资助项目(10272037);黑龙江省教育厅科学技术研究资助项目(11521245)

摘　　要：为了防止航天器在受到撞击后造成灾难性破坏,选取含半球形表面缺陷和表面裂纹的三维线弹性体(简称表面缺陷裂纹问题)作为研究对象,针对几种相关模型,采用康奈尔大学断裂力学小组编制的FRANC3D边界元软件对断裂分析中的关键参量———应力强度因子进行了数值分析,计算出了含半圆形表面缺陷裂纹体无限大和有限大的界限。半球形表面缺陷影响下,表面裂纹前沿的应力强度因子均随着裂尖与前自由表面间距离的增大而减小。The prevention of the disastrous destruction in the spacecraft due to impact consists of the selection of the cracked elastic body with semi-spherical cavity （ short for the crack problem with surface flaw） and numerical analysis of the stress intensity factors （ SIFs）, which is a critical parameter in the analysis of a cracked body. Based on study on the surface crack in existence, this paper introduces selection and analysis of the relevant models by FRANC3D which is a fracture analysis software developed by a fracture investigation group of Comell University（ CFG）, and concludes that the cracked body can be accepted as infinite or finite. The stress intensity factors （SIFs） in the crack front decreases with the increase of the distance from the upper free surface regardless of the cracked body type （infinite or finite）.

关 键 词：边界元 表面缺陷 表面裂纹 应力强度因子 

分 类 号：O346.1[理学—固体力学]