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| Stress singularity analysis of plane V-notch in angular non-uniform materials |
| Received:April 18, 2022 Revised:June 21, 2022 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20220418003 |
| KeyWord:V-shaped notch Angular inhomogeneous material stress singularity differential quadrature method |
| Author | Institution |
| 王静平 |
安徽工程大学 汽车新技术安徽省工程技术研究中心, 芜湖 |
| 姜伟 |
安徽工程大学 建筑工程学院, 芜湖 |
| 李俊萍 |
安徽工程大学 电气工程学院, 芜湖 |
| 潘家雨 |
安徽工程大学 建筑工程学院, 芜湖 |
| 尚悦 |
安徽工程大学 建筑工程学院, 芜湖 |
| 葛仁余 |
安徽工程大学 建筑工程学院, 芜湖 |
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| Abstract: |
| This paper presents an effective method to determine the stress singularity index at the tip of plane V-notch in angular non-uniform materials.Firstly,the series asymptotic expansion of the displacement field at the tip of the V-notch is introduced into the basic equations of elasticity,and the nonlinear variable coefficient differential equations with displacement as the characteristic functions are established.Then the differential quadrature method (DQM) is used to solve the differential equations,and the multi-order stress singularity index and its corresponding characteristic function can be obtained.This method has the advantages of a simple formula,convenient programming,less calculation and high precision. It can deal with the V-shaped notch with any opening angle and any material combination. Typical examples verify the effectiveness and accuracy of the differential quadrature method. |
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