围压与径向荷载共同作用下巴西盘裂纹应力强度因子的解析解  

Effect of confining pressure and diametrical force on stress intensity fracture in central cracked disk

作　　者：董卓 唐世斌[1] DONG Zhuo;TANG Shi-bin(School of Civil Engineering,Dalian University of Technology,Dalian 116024,China)

机构地区：[1]大连理工大学土木工程学院,大连100084

出　　处：《计算力学学报》2018年第2期168-173,共6页Chinese Journal of Computational Mechanics

基　　金：国家973项目(2014CB047100);国家自然科学基金(51474046;U1562103)资助项目

摘　　要：利用权函数法推导了围压和径向荷载共同作用下,考虑裂纹面摩擦的预制裂纹巴西盘应力强度因子计算公式,从理论上分析了围压、径向荷载和裂纹面摩擦对巴西盘应力强度因子的影响。结果表明,围压对I型应力强度因子有很大影响,I型应力强度因子随围压的增大而减小。当裂纹面闭合后围压和摩擦系数对II型应力强度因子同样具有显著影响,考虑裂纹面有效剪应力的权函数法理论解与有限元数值解相吻合,表明理论分析的正确性。The Brazilian disk is a widely used specimen to study the fracture behavior of mixed mode crack(I\|II),however,most studies neglect the influences of contact behavior of crack surfaces on the stress intensity factors(SIFs).In this study,an analytical solution of SIFs in central cracked Brazilian disk specimen subjected to both confining pressure and diametrical force is proposed.This solution is derived from the weight function method,and considers the effect of friction on the crack surfaces.The results show that the confining pressure has a great influence on the mode I stress intensity factor,which decreases with the increase of confining pressure.Furthermore,they also indicate that the confining pressure and friction coefficient greatly affect the mode II intensity factor when the crack is closed.The analytical and numerical results show good agreement with each other.

关 键 词：断裂力学 权函数法 有限元法 应力强度因子 巴西盘 

分 类 号：TU311[建筑科学—结构工程] P315.9[天文地球—地震学]