Steady-State Growing Crack-Tip Field Characteristics of Mode Ⅲ Elastic-Viscoplastic/Rigid Interface Cracks
-
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.Abstract: 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 in terface crack-tip were introduced,and the numerical analysis of rigid-elastic viscoplastic in terface for mode 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 am ain factor of in terface propagating crack-tip field,and the interface crack-tip is a viscop lastic field that is governed by viscosity coefficient,Mach number and singular factor.
-
Key words:
- in terface crack /
- viscosity /
- dynamic propagation /
- elastic-viscoplastic materials
-
[1] Williams M L. The stresses around a fault or crack in dissimilar media[J]. Bulletin of the Seismoloical Society of America, 1959, 49(2): 199-204. [2] 高宇立, 楼志文, 杜庆华. 幂硬化材料复合型界面裂纹问题[J].力学学报, 1988, 20(4):375-380. [3] Wang B L, Han J C, Du S Y. Cracks problem for non-homogeneous composite material subjected to dynamic loading[J]. International Journal of Solids and Structures, 2000, 37(9):1251-1274. doi: 10.1016/S0020-7683(98)00292-3 [4] 汤丽华, 许金泉.粘弹性界面裂纹奇异场[J].力学季刊, 2007, 28(1): 116-123. [5] 杨维阳, 张少琴, 李俊林, 等. 正交异性双材料Ⅱ型界面裂纹问题研究[J]. 应用数学和力学, 2009, 30(5): 547-555. [6] Chen B, Lardner T J. Two-dimensional cracks at an angle to an interface[J]. Int J Solids Struct, 1993, 30(13):1725-1735. doi: 10.1016/0020-7683(93)90229-Z [7] 魏培君, 吴永礼, 张双寅.黏弹性体界面裂纹的冲击响应[J].力学学报, 2001, 33(1): 109-114. [8] Ricci V, Shukla A, Chalivendra V B. Subsonic interfacial fracture using strain gages in isotropic-orthotropic biomaterial[J]. Theoretical and Applied Fracture Mechanics, 2003, 39(3): 143-161. doi: 10.1016/S0167-8442(02)00155-6 [9] 蔡艳红, 陈浩然, 唐立强, 等. 剪切载荷作用下含损伤胶接材料界面动应力强度因子的研究[J]. 应用数学和力学, 2008, 29(11): 1376-1386. [10] 尚福林,北村隆行.界面裂纹萌生与扩展的分子动力学模拟[J]. 力学学报, 2007, 39(4): 571-576. [11] 吕念春, 杨鼎宁, 程云虹, 等. Ⅲ型界面裂纹的非对称动态扩展问题[J]. 应用数学和力学, 2007, 28(4): 453-461. -
计量
- 文章访问数: 1915
- HTML全文浏览量: 218
- PDF下载量: 859
- 被引次数: 0