Near Crack Line Elastic-Plastic Analysis for a Finite Plate Loaded by Two Pairs of 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材料有限宽板中心裂纹在裂纹面上受两对反平面集中力的情形进行弹塑性分析,求得了裂纹线附近的弹塑性解析解、裂纹线上的塑性区长度随外荷载的变化规律及有限宽板具有中心裂纹的承载力本文的分析不受小范围屈服假设的限制,并且不附加其他假设条件,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 center crack loaded by two pairs of antiplane point forces in a finite plate in an elastic-perfectly plastic solid. And the analytical solutions are obtained, that is, the elastic-plastic stress fields near the crack line and the law that the length of the plastic zone along the crack line is varied with an external loads and the bearing capacity of a finite plate with a center crack. The results of this paper are sufficiently precise near the crack line because the assumptions of the small scale yielding theory have not been used and no other assumptions have been taken.
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[1] 易志坚,理想弹塑性Ⅲ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. [2] Yi Zhijian,The most recent solutions of near crack line field for mode Ⅲ cracks,Engineering Fracture Mechanics,47(1)(1994),147-155. [3] 吴承平、王成,裂纹面任意点受反平面集中力时裂纹线场的弹塑性分析,应用数学和力学,17(12)(1996),1059-1064. -
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