Research output: Contribution to Journal/Magazine › Journal article › peer-review
<mark>Journal publication date</mark> | 1/12/2009 |
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<mark>Journal</mark> | Jisuan Lixue Xuebao/Chinese Journal of Computational Mechanics |
Issue number | 6 |
Volume | 26 |
Number of pages | 7 |
Pages (from-to) | 893-899 |
Publication Status | Published |
<mark>Original language</mark> | English |
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.