Applied Mathematics and Mechanics

, Volume 22, Issue 10, pp 1173–1182

# General form of matching equation of elastic-plastic field near crack line for mode I crack under plane stress condition

• Yi Zhi-jian
• Yan Bo
Article

## Abstract

Crack line field analysis method has become an independent method for crack elastic-plastic analysis, which greatly simplifies the complexity of crack elastic-plastic problems and overcomes the corresponding mathematical difficulty. With this method, the precise elastic-plastic solutions near crack lines for variety of crack problems can be obtained. But up to now all solutions obtained by this method were for different concrete problems, no general steps and no general form of matching equations near crack line are given out. With crack line analysis method, this paper proposes the general steps of elastic-plastic analysis near crack line for modeI crack in elastic-perfectly plastic solids under plane stress condition, and in turn given out the solving process and result for a specific problem.

### Key words

crack elastic-plasticity crack-line analysis method crack line plane stress

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