Ⅲ型弹粘塑性/刚性界面裂纹的定常扩展裂尖场  

Steady-State Growing Crack-Tip Field Characteristics of Mode Ⅲ Elastic-Viscoplastic/Rigid Interface Cracks

作　　者：梁文彦[1] 王振清[1] 杨增杰[1] 

机构地区：[1]哈尔滨工程大学航天与建筑工程学院智能结构与先进复合材料实验室,哈尔滨150001

出　　处：《应用数学和力学》2010年第2期210-217,共8页Applied Mathematics and Mechanics

基　　金：国家教育部博士点基金资助项目(20060217010)

摘　　要：考虑裂纹尖端的奇异性和粘性效应,建立了双材料界面扩展裂纹尖端的弹粘塑性控制方程.引入界面裂纹尖端的位移势函数和边界条件,对刚性-弹粘塑性界面Ⅲ型界面裂纹进行了数值分析,求得了界面裂纹尖端应力应变场,并讨论了界面裂纹尖端场随各影响参数的变化规律.计算结果表明,粘性效应是研究界面扩展裂纹尖端场时的一个主要因素,界面裂纹尖端为弹粘性场,其场受材料的粘性系数、Mach数和奇异性指数控制.The singularity and viscosity in crack-tip were considered, and the elastic-viscoplastic governing equations of double dissimilar materials at interface crack-tip field were established. The displacement potential function and boundary condition of interface crack-tip were introduced, and the numerical analysis of rigid-elastic viscoplastic interface for mode Ⅲ was worked out. The stress-strain fields were obtained at the crack-tip and the variations of solutions were discussed according to each parameter. The numerical results show that the viscosity effect is a main factor of interface propagating crack-tip field, and the interface crack-tip is a viscoplastic field that is governed by viscosity coefficient, Mach number and singular factor.

关 键 词：界面裂纹 粘性效应 动态扩展 弹粘塑性材料 

分 类 号：O346[理学—固体力学]