Wang Cheng, Zhang Lukun. Near Crack Line Elastic-Plastic Analysis for a Finite Plate Loaded by Two Pairs of Antiplane Point Forces[J]. Applied Mathematics and Mechanics, 1998, 19(6): 512-519.
 Citation: Wang Cheng, Zhang Lukun. Near Crack Line Elastic-Plastic Analysis for a Finite Plate Loaded by Two Pairs of Antiplane Point Forces[J]. Applied Mathematics and Mechanics, 1998, 19(6): 512-519.

# Near Crack Line Elastic-Plastic Analysis for a Finite Plate Loaded by Two Pairs of Antiplane Point Forces

• Publish Date: 1998-06-15
• 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.
•  [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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