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Three-Dimensional Stress and Stress Intensity for Tensioned Flat Plates with Edge Cracks
作者姓名:王元清  武延民  石永久  江见鲸
作者单位:[1]Department of Civil Engineering, Tsinghua University, Beijing 100084, China [2]Capital Engineering and Research Incorporation Limited, Beijing 100053, China
基金项目:Supported by the National Natural Science Foundation of China (No. 50078029) and the Research Foundation of the Ministry of Railways and Tsinghua University (RFM0R & THU ) (No.T200410)
摘    要:The stress in the thickness direction is an important factor influencing the fracture behavior of structural members. A stress σy tensioned flat plate with edge cracks is widely used as an analysis model. The stresses σx and σy for the plate model can be acquired from Neuber's solution. However, the solution is applicable only for a perfect plane stress or plane strain state. As a consequence of the thickness of the plate a three-dimensional (3-D) stress state will arise near the crack tip, resulting in a variation of the distribution of σx and σy stresses. A full analysis for the 3-D stress fields for a tensioned flat plate with edge cracks has been therefore carried out. The results show that the 3-D stress field near the crack tip is mainly determined by two factors: the thickness of the plate and the curvature radius at the crack tip. A further analysis has been carried out for the stress intensity near the crack tip. In this paper we give some equations matching to the 3-D stress and stress intensity, which describe precisely the stress state near the crack tip, and which can be applied effectively in engineering analysis.

关 键 词:钢结构  三维压力  应力强度  裂纹尖端  张力平板
收稿时间:2004-09-01
修稿时间:2004-09-01

Three-Dimensional Stress and Stress Intensity for Tensioned Flat Plates with Edge Cracks
Yuanqing Wang, &#x;, Yanmin Wu, ï , Yongjiu Shi,  ,Jianjing Jiang, Ï Ë.Three-Dimensional Stress and Stress Intensity for Tensioned Flat Plates with Edge Cracks[J].Tsinghua Science and Technology,2006,11(1):131-136.
Authors:Yuanqing Wang   &#x;  Yanmin Wu   ï   Yongjiu Shi     Jianjing Jiang  Ï Ë
Institution:Department of Civil Engineering, Tsinghua University, Beijing 100084, China; Capital Engineering and Research Incorporation Limited, Beijing 100053, China
Abstract:The stress in the thickness direction is an important factor influencing the fracture behavior of structural members. A stress σy tensioned flat plate with edge cracks is widely used as an analysis model. The stresses σx and σy for the plate model can be acquired from Neuber's solution. However, the solution is applicable only for a perfect plane stress or plane strain state. As a consequence of the thickness of the plate a three-dimensional (3-D) stress state will arise near the crack tip, resulting in a variation of the distribution of σx and σy stresses. A full analysis for the 3-D stress fields for a tensioned flat plate with edge cracks has been therefore carried out. The results show that the 3-D stress field near the crack tip is mainly determined by two factors: the thickness of the plate and the curvature radius at the crack tip. A further analysis has been carried out for the stress intensity near the crack tip. In this paper we give some equations matching to the 3-D stress and stress intensity, which describe precisely the stress state near the crack tip, and which can be applied effectively in engineering analysis.
Keywords:three-dimensional stress  stress in the thickness direction  stress intensity  crack tip
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