Elastic-plastic analysis of antiplane crack near crack surface region

• Published in: Applied mathematics and mechanics Vol. 31; no. 7; pp. 895 - 902
• Main Author: 易志坚 谷建义 何小兵 马银华 杨庆国 彭凯 黄锋 黄宗明
• Format: Journal Article
• Language: English
• Published: Heidelberg Shanghai University Press 01.07.2010; School of Civil Engineering,Chongqing University,Chongqing 400044,P.R.China; School of Civil Engineering,Chongqing Jiaotong University,Chongqing 400074,P.R.China%School of Civil Engineering,Chongqing Jiaotong University,Chongqing 400074,P.R.China%School of Civil Engineering,Chongqing University,Chongqing 400044,P.R.China
• Subjects: Applications of Mathematics; Classical Mechanics; Cracks; Fluid- and Aerodynamics; Mathematical analysis; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Partial Differential Equations; 反平面裂纹; 小范围屈服; 常规分析; 应力分布; 弹塑性分析; 理想弹塑性; 表面裂纹; 裂纹扩展; elastic-perfectly plastic material; crack surface; antiplane crack; 74A45; plastic zone; O346.1; elasticplastic boundary; elastic-plastic boundary
• DOI: 10.1007/s10483-010-1323-x
• ISSN: 0253-4827

The elastic-plastic stress distribution and the elastic-plastic boundary con- figuration near a crack surface region are significant but hard to obtain by means of the conventional analysis. A crack line analysis method is developed in this paper by consid- ering the crack surface as an extension of the crack line. The stresses in the plastic zone, the length, and the unit normal vector of the elastic-plastic boundary near a crack surface region are obtained for an antiplane crack in an elastic-perfectly plastic solid. The usual small scale yielding assumptions are not needed in the analysis.