A BOUNDARY INTEGRAL METHOD FOR COMPUTING ELASTIC MOMENT TENSORS FOR ELLIPSES AND ELLIPSOIDS  

作　　者：Habib Ammari HyeonbaeKang HyundaeLee 

机构地区：[1]Centre de Mathématiques Appliquées,CNRS UMR 7641 and Ecole Polytechnique,91128 Palaiseau Cedex,France [2]Department of Mathematical Sciences and RIM,Seoul National University,Seoul 151-747,Korea

出　　处：《Journal of Computational Mathematics》2007年第1期2-12,共11页计算数学（英文）

基　　金：Partly supported by Korea Science and Engineering Foundation grant R02-2003-000-10012-0.

摘　　要：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.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.

关 键 词：Elastic moment tensor Explicit formulae Integral equations. 

分 类 号：O241[理学—计算数学]