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

LI Fan-chun

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Article Navigation > Applied Mathematics and Mechanics > 2003 > 24(2): 185-191

LI Fan-chun. Asymptotic Dynamic Solution to the Mode Ⅰ Propagating Crack-Tip Field in Elastic-Viscoplastic Material[J]. Applied Mathematics and Mechanics, 2003, 24(2): 185-191.

Citation:

LI Fan-chun. Asymptotic Dynamic Solution to the Mode Ⅰ Propagating Crack-Tip Field in Elastic-Viscoplastic Material[J]. Applied Mathematics and Mechanics, 2003, 24(2): 185-191.

Citation:

LI Fan-chun. Asymptotic Dynamic Solution to the Mode Ⅰ Propagating Crack-Tip Field in Elastic-Viscoplastic Material[J]. Applied Mathematics and Mechanics, 2003, 24(2): 185-191.

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

LI Fan-chun

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

Received Date: 2001-09-10
Rev Recd Date: 2002-06-11
Publish Date: 2003-02-15

Abstract

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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References(10)

References

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