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.
出处
《应用数学和力学》
CSCD
北大核心
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)
关键词
界面裂纹
粘性效应
动态扩展
弹粘塑性材料
interface crack
Viscosity
dynamic propagation
elastic-viscoplastic materials
