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| Analysis of the stress singularity of plane bimaterial V-notcheswith interpolating matrix method |
| Received:December 06, 2007 |
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| DOI：10.7511/jslx20096022 |
| KeyWord:stress singularity orders the interpolating matrix method V-notch biomaterial |
| Author | Institution |
| 牛忠荣 |
合肥工业大学 工程力学系,合肥 |
| 葛大丽 |
安徽建筑工业学院 土木工程学院,合肥 |
| 程长征 |
合肥工业大学 工程力学系,合肥 |
| 叶建乔 |
合肥工业大学 工程力学系,合肥 ;英国Leeds大学 土木工程学院 |
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| Abstract: |
| In this paper, a new way was proposed to evaluate the orders of singularity for plane V-notch problems. Based on an asymptotic displacement field in terms of radial coordinates at the V-notch tip, the governing equations of the elastic theory were transformed into an eigenvalue problem of ordinary differential equations (ODEs). Then the interpolating matrix method which was a numerical method of solving two-point boundary valve problems was further developed to solve the general ODEs eigenvalue problem. Thus the singularity orders of the V-notch problem are determined through solving the corresponding ODEs by means of the interpolating matrix method. In addition, the associated eigenvectors of the displacement and stress fields near the V-notches are also obtained. |