Ⅱ型平面应力裂纹线场的弹塑性精确解

易志坚; 王士杰; 王向坚

Ⅱ型平面应力裂纹线场的弹塑性精确解

重庆交通学院桥梁系重庆 630074

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出版历程
- 收稿日期: 1995-02-05
- 刊出日期: 1995-10-15

The Exact Solutions of Elastic-Plastic Crack Line Field for Mode Ⅱ Plane Stress Crack

Bridge and Structure Department, Chongqing Jiaotong Institute, Chongqing, Sichuan 630074, P. R. China

摘要

摘要: 本文采用线场分析方法对理想弹塑性Ⅱ型平面应力裂纹裂纹线附近的应力场及弹塑性边界进行了精确分析。本文完全放弃了小范围屈服条件,探讨了弹塑性边界上弹塑性应力场匹配条件的正确提法,通过将裂纹线附近塑性区应力场的通解(而不是过去采用的特解)与弹性应力场的精确解(而不是通常的裂尖应力强度因子K场)在裂纹线附近的弹塑性边界上匹配,本文得出了塑性区应力场,塑性区长度及弹塑性边界的单位法向量在裂纹线附近的足够精确的表达式。
- Ⅱ型裂纹 /
- 线场分析方法 /
- 裂纹线 /
- 弹塑性边界 /
- 匹配条件
Abstract: The near crack line field analysis method has been used io investigate into theexact elastic-plastic solutions of a mode Ⅱ crack under plane stress condilion in anelastic-perfectly plastic solid. The assumptions of the usual small scale yielding theory.hare been completely. dbandoned and the correct formulations of matching conditionsat the elaslic-plastic boundary. have been given. By, matching the general solution ofthe plastic slress field(bul not the special solution used to be adopted) with the exactelastic stress field(but not the crack tip K-dominant field) at the elastic-plasticboundary, near the crack line, the plastic stresses, the length of the plastic zone and theunit normal vector of the elastic-plastic boundary.which are sufficiently precise near the crack line region,have been given.
- mode Ⅱ crack /
- near crack line analysis method /
- crack line /
- elastic-plastic boundary /
- matching conditions

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参考文献(8)

[1]	J.D.Achenbach and V.Dunayevsky,Crack growth under plane stress condition in an elastic-perfectly plastic meterial,Journal of Mechanics and Physics of Solids,32(1984),89-100.
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[5]	Yi Zhijian,The more precise crack line analyses for antiplane quasistatically propagating crack,International Journal of Fracture,55(1992),R9-12.
[6]	Yi Zhijian,The new and analytical solutions for mode Ⅲ cracks in an elastic-perfectly plastic material.Engineering Fracture,Mechanics,42(1992),833-840.
[7]	Yi Zhijian,The most recent solutions of near crack line fields for mode-Ⅲ cracks,Engineering Fracture Mechanics,47(1994),147-155.
[8]	易志坚,理想弹塑性I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.