Asymptotic dynamic solution to the mode I propagating crack-tip field in elastic-viscoplastic material

被引：1

作者：

Li Fan-chun

机构：

[1] Shanghai University,Institute of Applied Mathematics and Mechanics

[2] Harbin Engineering University,School of Civil Engineering

来源：

Applied Mathematics and Mechanics | 2003年 / 24卷 / 2期

关键词：

crack-tip field; dynamic propagating; viscoplastic; O346.1; 74R99;

D O I：

10.1007/BF02437627

中图分类号：

学科分类号：

摘要：

A new elastic-viscoplastic mode was proposed to analyze the stress and strain fields surrounding the tip of a propagating mode1 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 exists 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.

引用

页码：208 / 215

页数：7

共 14 条

[1]

Chitaley A D(1971)Elastic-plastic mechanics of steady crack growth under anti-plane shear [J] J Mech Phys Solids 19 163-174

[2]

McClintock F A(1980)Elastic plastic field at the tip of a crack growing stearily in perfect plastic medium [J] Acta Mech Sinica 12 48-56

[3]

Yu-chen Gao(1983)Dynamic fields near a crack-tip growing in an elastic-perfectly-plastic solid [J] Mech Mater 2 47-60

[4]

Yu-chen Gao(1985)Asymptotic dynamic solution of Mode I propagating crack-tip field[J] Int J Fract 29 171-180

[5]

Nemat Nasser S(1984)Mode II dynamic fields near a crack tip prowing in an elastic-perfectly-plastic solid [J] Int J Mech Solids 32 1-19

[6]

Yu-chen Gao(1988)Uniparameter plastic field near a dynamic crack tip[J] Mechanics Research Communication 15 307-313

[7]

Yu-chen Gao(1990)Further study on strain singularity behavior of moving crack in elastic-viscoplatic materials [J] Theoretical and Applied Fracture Mechanics 14 233-242

[8]

Nemat Nasser S(1992)The influence of a rate sensitive effect of material for a propagating crack-tip field [J] Acta Mech Solids 5 184-192

[9]

Yu-chen Gao(1993)Investigation on the asymptotic solution for the mode III Moving crack-tip field [J] Acta Mech Sinica 25 732-737

[10]

Yu-chen Gao(1997)The asymptotic solution to the antiplane shear dynamic crack-tip field in an elastic strain-softening viscoplastic material [J] Applied Mathematics and Mechanics 18 173-179

← 1 2 →