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Volume 25, Issue 1
A Boundary Integral Method for Computing Elastic Moment Tensors for Ellipses and Ellipsoids

Habib Ammari, Hyeonbae Kang & Hyundae Lee

J. Comp. Math., 25 (2007), pp. 2-12.

Published online: 2007-02

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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.

  • Keywords

Elastic moment tensor, Explicit formulae, Integral equations.

  • AMS Subject Headings

45A05, 74B05.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-25-2, author = {Habib Ammari, Hyeonbae Kang and Hyundae Lee}, title = {A Boundary Integral Method for Computing Elastic Moment Tensors for Ellipses and Ellipsoids}, journal = {Journal of Computational Mathematics}, year = {2007}, volume = {25}, number = {1}, pages = {2--12}, 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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8668.html} }
TY - JOUR T1 - A Boundary Integral Method for Computing Elastic Moment Tensors for Ellipses and Ellipsoids AU - Habib Ammari, Hyeonbae Kang & Hyundae Lee JO - Journal of Computational Mathematics VL - 1 SP - 2 EP - 12 PY - 2007 DA - 2007/02 SN - 25 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8668.html KW - Elastic moment tensor, Explicit formulae, Integral equations. AB -

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.

Habib Ammari, Hyeonbae Kang and Hyundae Lee. (2007). A Boundary Integral Method for Computing Elastic Moment Tensors for Ellipses and Ellipsoids. Journal of Computational Mathematics. 25 (1). 2-12. doi:
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