A Boundary Integral Method for Computing Elastic Moment Tensors for Ellipses and Ellipsoids

A Boundary Integral Method for Computing Elastic Moment Tensors for Ellipses and Ellipsoids

Year:    2007

Journal of Computational Mathematics, Vol. 25 (2007), Iss. 1 : pp. 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.

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2007-JCM-8668

Journal of Computational Mathematics, Vol. 25 (2007), Iss. 1 : pp. 2–12

Published online:    2007-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    Elastic moment tensor Explicit formulae Integral equations.