On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites
(1998) In Journal of the Mechanics and Physics of Solids 46(8). p.1441-1462- Abstract
- We present a fast algorithm for the calculation of elastostatic fields in locally isotropic composites. The method uses an integral equation approach due to Sherman, combined with the fast multipole method and an adaptive quadrature technique. Accurate solutions can be obtained with inclusions of arbitrary shape at a cost roughly proportional to the number of points needed to resolve the interface. Large-scale problems, with hundreds of thousands of interface points can be solved using modest computational resources.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/4697010
- author
- Helsing, Johan LU and Greengard, Leslie
- organization
- publishing date
- 1998
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- elasticity, inclusion, void, inhomogeneous material, boundary integral equation
- in
- Journal of the Mechanics and Physics of Solids
- volume
- 46
- issue
- 8
- pages
- 1441 - 1462
- publisher
- Elsevier
- external identifiers
-
- scopus:0032136801
- ISSN
- 1873-4782
- DOI
- 10.1016/S0022-5096(97)00041-0
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)
- id
- 900cbe9f-94f3-48ba-baf7-492a41878a3c (old id 4697010)
- alternative location
- http://www.maths.lth.se/na/staff/helsing/JMPS98.pdf
- date added to LUP
- 2016-04-01 12:14:17
- date last changed
- 2022-02-18 19:49:44
@article{900cbe9f-94f3-48ba-baf7-492a41878a3c,
abstract = {{We present a fast algorithm for the calculation of elastostatic fields in locally isotropic composites. The method uses an integral equation approach due to Sherman, combined with the fast multipole method and an adaptive quadrature technique. Accurate solutions can be obtained with inclusions of arbitrary shape at a cost roughly proportional to the number of points needed to resolve the interface. Large-scale problems, with hundreds of thousands of interface points can be solved using modest computational resources.}},
author = {{Helsing, Johan and Greengard, Leslie}},
issn = {{1873-4782}},
keywords = {{elasticity; inclusion; void; inhomogeneous material; boundary integral equation}},
language = {{eng}},
number = {{8}},
pages = {{1441--1462}},
publisher = {{Elsevier}},
series = {{Journal of the Mechanics and Physics of Solids}},
title = {{On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites}},
url = {{https://lup.lub.lu.se/search/files/2840100/4697012.pdf}},
doi = {{10.1016/S0022-5096(97)00041-0}},
volume = {{46}},
year = {{1998}},
}