摘要
针对裂缝稳定性分析的K判据法,基于线弹性分析的局限性,将三维J积分并入有限元计算程序中,对结构已有的裂缝进行稳定性分析,主要对其实现的技术方法进行讨论,包括通过建立节点间的邻接矩阵实现积分回路拓扑搜索以及积分计算的离散方法处理等。实例分析表明J积分与合理选取外推节点计算的缝端应力强度因子具有类似的计算结果,但J积分对单元尺寸要求不高,路径依赖性较小,作为裂缝稳定性与否的判断依据更有可比性及参考性。
A As regarding the limitation of K criterion for the stability analysis of cracks under linear elastieity eondition, the 3D J- integral was merged in finite element programs. The stability of the existing cracks in slruetures was analyzed. The technical methods were mainly discussed, including the realization of topology search to automatically select the integral loop through establishing adjacent matrix between nodes and the discrete treatment of integral ealeulation. Case analyses show that the J-integral and the rational selection of extrapolated nodes both have similar ealetdated results of stress intensity factor at the end of eraeks. However, the J-integral has lower requirements of the cell sizes and smaller dependence on paths, thereby, it is more eomparable and referential as a judge criterion for the crack stability.
出处
《水利水电科技进展》
CSCD
北大核心
2010年第2期1-4,9,共5页
Advances in Science and Technology of Water Resources
基金
国家自然科学基金(50579010
50879024)
国家自然科学重点基金(50539010)
高等学校博士学科点专项科研基金(20070294023)
中央级公益性科研院所基本科研业务费专项资金(Y70901)
关键词
裂缝稳定性
J积分
拓扑搜索
crack stability
J-integral
topology search
