| A BOUNDARY INTEGRAL METHOD FOR COMPUTING ELASTIC MOMENT TENSORS FOR ELLIPSES AND ELLIPSOIDS |
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| 作者姓名： | Habib Ammari Hyeonbae Kang Hyundae Lee |
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| 作者单位： | [1]Centre de Mathgmatiques Appliqudes, CNRS UMR 7641 and Ecole Polytechnique, 91128 Palaiseau Cedex, France [2]Department of Mathematical Sciences and RIM, Seoui National University, Seoul 151-747, Korea |
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| 基金项目： | Partly supported by Korea Science and Engineering Foundation grant R02-2003-000-10012-0. |
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| 摘 要： |
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| 关 键 词： | 积分方程 弹性张量 渐近模型 椭圆形 椭球面 |
| 修稿时间： | 2006-01-042006-02-16 |
A BOUNDARY INTEGRAL METHOD FOR COMPUTING ELASTIC MOMENT TENSORS FOR ELLIPSES AND ELLIPSOIDS |
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| Habib Ammari Hyeonbae Kang Hyundae Lee.A BOUNDARY INTEGRAL METHOD FOR COMPUTING ELASTIC MOMENT TENSORS FOR ELLIPSES AND ELLIPSOIDS[J].Journal of Computational Mathematics,2007,25(1):2-12. |
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| Abstract: | The concept of elastic moment tensor occurs in several interesting contexts, in particular in imaging small elastic inclusions and in asymptotic models of dilute elastic composites. In this paper, we compute the elastic moment tensors for ellipses and ellipsoids by using a systematic method based on layer potentials. Our computations reveal an underlying elegant relation between the elastic moment tensors and the single layer potential. |
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| Keywords: | Elastic moment tensor Explicit formulae Integral equations |
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