裂纹面任意点受反平面集中力时裂纹线场的弹塑性分析
Near Crack Line Elastic-Plastic Analysis for a Crack Loaded by Antiplane Point Forces
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摘要: 本文采用线场分析方法,对理想弹塑性Ⅲ型裂纹无限板,在裂纹面上任意点受一对集中力的情形,进行弹塑性分析。本文的分析完全放弃了小范围屈服条件,其结果在裂纹线附近足够精确。Abstract: In this paper, the improved near crack line analysis method proposed in Refs. [1]and [2] is used to investigate a mode Ⅲ crack loaded by antiplane point forces in aninfinite plate in an elastic-perfectly plastic solid. The solutions of this paper aresufficiently precise near the crack line region because. the assumptions of the smallscale yielding theory have not been used and no other assumptions have been taken.
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Key words:
- mode Ⅲ crack /
- near crack line analysis /
- elastic-plastic /
- antiplane /
- point forces
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[1] Yi Zhijian,The most recent solutions of near crack line field for mode Ⅱ cracks,Engineering Fracture Mechanics,47,1(1994),147-155. [2] 易志坚,理想弹塑性Ⅱ,型扩展裂纹的全新和精确分析,应用数学和力学,14(4)(1993),327-333.
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