Three-Dimensional Stress and Stress Intensity for Tensioned Flat Plates with Edge Cracks  

作　　者：王元清 武延民 石永久 江见鲸 

机构地区：[1]Department of Civil Engineering, Tsinghua University,Beijing 100084, China [2]Capital Engineering and Research Incorporation Limited,Beijing 100053, China

出　　处：《Tsinghua Science and Technology》2006年第1期131-136,共6页清华大学学报（自然科学版（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No. 50078029) and the Research Foundation of the Ministry of Railways and Tsinghua University(RFMOR & 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.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：three-dimensional stress stress in the thickness direction stress intensity crack tip 

分 类 号：TB121[理学—工程力学]