反平面剪切动态扩展裂纹尖端的弹-粘塑性场

李范春; 赵文胜; 汤龙生

反平面剪切动态扩展裂纹尖端的弹-粘塑性场

1.
大连海事大学轮机学院,大连 116026;2.航天科工集团第31研究所,北京 100071

详细信息

作者简介:
李范春(1960- ),男,山东招远人,教授,博士(联系人.Tel:+86-13942049693;E-mail:lee_fc@126.com).

中图分类号: O346.1
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- 被引次数: 0
出版历程
- 收稿日期: 2002-10-22
- 修回日期: 2004-06-18
- 刊出日期: 2004-09-15

Elastic-Viscoplastic Fieds Near The Tip of a Propagating Crack Under Anti-Plane Shear

1.
Marine Engineering College, Dalian Maritime University, Dalian 116026, P. R. China;

摘要

摘要: 采用Bingham弹性-粘塑性模型对反平面剪切动态扩展裂纹尖端的应力应变场进行了渐近分析．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，裂纹尖场具有幂奇异性A·D2对于临界情况，两种奇异性可以相互转换．揭示了粘性在裂纹尖端场研究中的重要作用．
- 裂纹场 /
- 动态扩展 /
- 粘塑性
Abstract: The elastic-viscoplastic model proposed by Bingham was used to alalyse the stress and strain surrounding the tip of a propagating crack under antiplane shear.The proper displacement pattern was given;the asymptotic equations were derived and solved numerically.The analysis and calculation show that for smaller viscosity the crack-tip possesses logarthmic singularity,and for larger viscosity it possesses power-law singularity.In critical case,the two kinds of singularity are consistent with each other.The result revealed the important role of viscosity for crack-tip field.
- crack-tip field /
- dynamic propagating /
- viscoplastic

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参考文献(10)

[1]	Chitaley A D,McClitock F A.Elastic-plastic methanics of steady crack growth under anti-plane shear[J].J Mech Phys Solids,1971,19(3):163—174.
[2]	Gao Y C.Elastic plastic field at the tip of a crack growing stearily in perfect plastic medium[J].Acta Mech Sinica,1980,12(1):48—56.
[3]	Gao Y C,Nemat Nasser S.Dynamic fields near a crack-tip growing in an elastic-perfectly-plastic solid[J].Mech Mater,1983,2:47—60. doi: 10.1016/0167-6636(83)90007-8
[4]	Gao Y C.Asymptotic dynmaic solution of mode Ⅰ propagating crack-tip field[J].Internat J Fract,1985,29(4):171—180. doi: 10.1007/BF00125468
[5]	Gao Y C,Nemat Nasser S.Mode Ⅱ dynamic fields near a crack tip growing in an elastic-perfectly-plastic solid[J].J Mech Phys Solids,1984,32(1):1—19. doi: 10.1016/0022-5096(84)90002-4
[6]	Gao Y C.Uniparameter plastic field near a dynamic crack tip[J].Mechanics Research Communication,1988,15(5):307—313. doi: 10.1016/0093-6413(88)90008-0
[7]	Gao Y C.Further study on strain singularity behavior of moving crack in elastic-viscoplastic materials[J].Theoretical and Applied Fracture Mechanics,1990,14(3):233—242. doi: 10.1016/0167-8442(90)90022-R
[8]	LI Fan-chun.The influence of a rate sensitive effect of material for a propagating crack-tip field[J].Acta Mech Solids,1992,5(2):184—192.
[9]	LI Fan-chun.Investigation on the asymptotic solution for the mode Ⅲ moving crack-tip field[J].Acta Mech Snica,1993,25(6):732—737.
[10]	李范春，齐辉.弹性-应变软化粘塑性材料反平面剪切动态扩展裂纹尖端的渐近解[J].应用数学和力学，1997,18(2):161—168.