航空学报 > 2001, Vol. 22 Issue (3): 265-269

动态扩展裂纹的热-弹塑性耦合分析

徐绯1, 郭万林1, 刘元镛2   

  1. 1. 西安交通大学工程力学系, 陕西西安 710049;2. 西北工业大学强度研究所, 陕西西安 710072
  • 收稿日期:1999-12-30 修回日期:2000-04-17 出版日期:2001-06-25 发布日期:2001-06-25

STUDY OF THE CRACK-TIP PARAMETER IN HIGH SPEED CRACK GROWTH

XU Fei1, GUO Wan-lin1, LIU Yuan-yong2   

  1. 1. Department of Engineering Mechanics, Xi'an Jiaotong University, Xi'an 710049, China;2. Department of Aircraft, Northwestern Polytechnical University, Xi'an 710072, China
  • Received:1999-12-30 Revised:2000-04-17 Online:2001-06-25 Published:2001-06-25

摘要:

以弹塑性扩展裂纹的裂尖参数为研究对象,对快速扩展的裂纹问题进行了细致的分析。首先建立了经验的应变率以及热 -弹塑性耦合的材料本构关系,完善了增量路径无关积分参数 T*的数值计算。通过与 J积分的比较,给出了两种积分参数在不同扩展速度、是否考虑热和应变率影响等情况下的变化规律,说明了T*积分用于快速扩展裂纹的合理性和优越性。在裂尖场的讨论中,重点分析了裂尖应力、应变、应力三轴度和塑性区的演化发展过程,发现了快速扩展裂纹塑性区发展非单调的有趣现象,并且获得了应力三轴度可以作为裂纹扩展过程控制参数的基本结论。

关键词: 增量路径无关积分, 快速裂纹扩展, 裂尖参数

Abstract:

Based on the study of the crack tip parameter in elastic plastic crack growth, further discussions on the high speed crack growth are given. A thermal elastic plastic coupled material model and an advanced method for calculating the incremental path independent integral are introduced. The characteristics of the crack tip integrals under different crack growth speeds and different situations, whether considering temperature and strain rate or not, are described. The distributions of stresses and strains in front of the crack tip and the development of plastic zone are also given. It is interesting to find that the expansion of the plastic zone during dynamic crack growth is non monotony. And it is concluded that the triaxiality stress parameter may control both steady crack growth and dynamic crack growth.

Key words: incremental path-independent integr al, hig h-speed cra ck g row th, crack-tip par ameter