利用内聚力模型(CZM)模拟弹粘塑性多晶体的裂纹扩展  

Crack Propagation in Polycrystalline Elastic-Viscoplastic Materials Using Cohesive Zone Models

作　　者：吴艳青[1] 张克实[1] 

机构地区：[1]西北工业大学工程力学系

出　　处：《应用数学和力学》2006年第4期454-462,共9页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(19972055);博士后科学基金资助项目(20040350031)

摘　　要：采用内聚力模型(CZM),模拟多晶体中起裂于晶界的二维平面应变裂纹扩展.结果表明,弹粘塑性体中,初始裂纹尖端不会最先开裂.晶体本构的率敏感指数表征了塑性变形和内聚力区耗散两种机制的相互竞争.率敏感指数越大,塑性耗散能越大,内聚力区粘着能越小,使材料的塑性变形越容易,内聚力区诱发的破坏越不易;率敏感指数越小,材料响应越接近弹塑性性质,塑性耗散能减小,粘着能增大,外力功易转化为内聚力区的粘着能,使内聚力单元更易分离.增大内聚力区结合强度或临界张开位移使晶内和晶界的三轴应力度减小,即提高内聚力区韧性也使基体材料抗孔洞损伤能力提高.Cohesive zone model was used to simulate two-dimensional plane strain crack propagation at the grain level model including grain boundary zones. Simulated results show that the original crack-tip may not be separated firstly in an elastic-viscoplastic polycrystals. The grain interior＇s material properties （ e. g. strain rate sensitivity） characterize the competitions between plastic and cohesive energy dissipation mechanisms. The higher the strain rate sensitivity is, the larger amount of the external work is transformed into plastic dissipation energy than into cohesive energy, which delays the cohesive zone rupturing. With the strain rate sensitivity decreased, the material property ten（is to approach the elastic-plastic responses. In this case, the plastic dissipation energy decreases and the cohesive dissipation energy increases which accelerates the cohesive zones debonding. Increasing the cohesive strength or the critical separation displacement will reduce the stress triaxiality at grain interiors and grain boundaries. Enhancing the cohesive zones ductility can improve the matrix materiais resistance to void damage.

关 键 词：裂纹扩展 弹粘塑性 内聚力模型 多晶体 晶界 

分 类 号：O346.1[理学—固体力学]