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The Asymptotically Convergent Integration Technique for Calculating the Higher-order Derivatives at Boundary in Kirchhoff Plate Problems |
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DOI:10.7511/jslx19923049 |
KeyWord:boundary integral equation, hyper-singular, asymptotic perturbation |
Zhang Jindong |
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Abstract: |
By introducing the concept of asymptotic perturbation, a convergent boundary integral equation approach for calculating the higher-order derivatives at boundary in Kirchhoff plate bending problems is presented, which effectively solves the problem of so-called hyper-singular kernal functions appearing in such integral equations. Satisfactory numerical results are obtained by applying the technique to the calculation of curvature terms at plate boundary. |
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