弹性-粘塑性材料Ⅰ型动态扩展裂纹尖端场的渐近解

Asymptotic Dynamic Solution to the Mode Ⅰ Propagating Crack-Tip Field in Elastic-Viscoplastic Material

1.
Institute of Applied Mathematics and Mechancis, Shanghai University, Shanghai 200072, P. R. China;
2.
School of Civil Engineering, Harbin Engineering University, Harbin 150001, P. R. China

摘要: 提出了一种新的弹性-粘塑性模型用于分析Ⅰ型动态扩展裂纹尖端的应力应变场.给出了适当的位移模式,推导了渐近方程并且给出了数值解.分析和计算表明:对于低粘性情况,裂纹尖端场具有对数奇异性;对于高粘性情况,渐近方程无解.分析比较表明该结果具有高玉臣提出的单参数解的所有优点,并且消除了粘性区随裂纹扩展而移动的不足.
- 裂纹场 /
- 动态扩展 /
- 粘塑性
Abstract: A new elastic-viscoplastic mode was proposed to analyze the stress and strain fields surrounding the tip of a propagating mode cracks. A proper displacement pattern was suggested and asymptotic equations were derived, and numerical solutions were illustrated. The analysis and calculation show that the crack-tip field is of logarithmic singularity for smaller viscosity, however no solution exits for large viscosity. By a careful analysis and comparison, it is found that the present results retain all merits of those given by GAO Yu-chen, while removing existing problems.
- crack-tip field /
- dynamic propagating /
- viscoplastic

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