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利用内聚力模型(CZM)模拟弹粘塑性多晶体的裂纹扩展
引用本文:吴艳青,张克实. 利用内聚力模型(CZM)模拟弹粘塑性多晶体的裂纹扩展[J]. 应用数学和力学, 2006, 27(4): 454-462
作者姓名:吴艳青  张克实
作者单位:西北工业大学 工程力学系,西安 710072;2.清华大学 工程力学系,断裂力学国家重点实验室,北京 100084;3.广西大学 土木工程学院,南宁 530004
基金项目:中国科学院资助项目;高等学校博士学科点专项科研项目
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.

关 键 词:裂纹扩展   弹粘塑性   内聚力模型   多晶体   晶界
文章编号:1000-0887(2006)04-0454-09
收稿时间:2003-01-21
修稿时间:2005-10-24

Crack Propagation in Polycrystalline Elastic-Viscoplastic Materials Using Cohesive Zone Models
WU Yan-qing,ZHANG Ke-shi. Crack Propagation in Polycrystalline Elastic-Viscoplastic Materials Using Cohesive Zone Models[J]. Applied Mathematics and Mechanics, 2006, 27(4): 454-462
Authors:WU Yan-qing  ZHANG Ke-shi
Affiliation:Department of Engineering Mechanics of Northwestern Polytechnical University, Xi'an 710072, P. R. China;
Abstract: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 tends 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 materials resistance to void damage.
Keywords:crack propagation   elasto-viscoplastic   cohesive zone model   polycystal   grain boundary
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