On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites

Leslie Greengard; Johan Helsing

doi:10.1016/S0022-5096(97)00041-0

On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites

Leslie Greengard, Johan Helsing

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	1441-1462
Number of pages	22
Journal	Journal of the Mechanics and Physics of Solids
Volume	46
Issue number	8
DOIs	https://doi.org/10.1016/S0022-5096(97)00041-0
State	Published - Aug 1 1998

Keywords

A. voids and inclusions
B. inhomogeneous material
C. boundary integral equations

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

Access to Document

10.1016/S0022-5096(97)00041-0

Cite this

@article{b9802fcc3a9a44a6a81cf051db51e6bc,

title = "On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites",

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.",

keywords = "A. voids and inclusions, B. inhomogeneous material, C. boundary integral equations",

author = "Leslie Greengard and Johan Helsing",

note = "Funding Information: This work was supported by the Applied Mathematical Sciences Program of the U.S. Department of Energy under Contract DEFGO288ER25053 and by a NSF Presidential Young Investigator Award to L.G. The second author was also supported by NFR, TFR, and the Knut and Alice Wallenberg Foundation under TFR contract 96-977.",

year = "1998",

month = aug,

day = "1",

doi = "10.1016/S0022-5096(97)00041-0",

language = "English (US)",

volume = "46",

pages = "1441--1462",

journal = "Journal of the Mechanics and Physics of Solids",

issn = "0022-5096",

publisher = "Elsevier Ltd",

number = "8",

}

TY - JOUR

T1 - On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites

AU - Greengard, Leslie

AU - Helsing, Johan

N1 - Funding Information: This work was supported by the Applied Mathematical Sciences Program of the U.S. Department of Energy under Contract DEFGO288ER25053 and by a NSF Presidential Young Investigator Award to L.G. The second author was also supported by NFR, TFR, and the Knut and Alice Wallenberg Foundation under TFR contract 96-977.

PY - 1998/8/1

Y1 - 1998/8/1

N2 - 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.

AB - 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.

KW - A. voids and inclusions

KW - B. inhomogeneous material

KW - C. boundary integral equations

UR - http://www.scopus.com/inward/record.url?scp=0032136801&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032136801&partnerID=8YFLogxK

U2 - 10.1016/S0022-5096(97)00041-0

DO - 10.1016/S0022-5096(97)00041-0

M3 - Article

AN - SCOPUS:0032136801

SN - 0022-5096

VL - 46

SP - 1441

EP - 1462

JO - Journal of the Mechanics and Physics of Solids

JF - Journal of the Mechanics and Physics of Solids

IS - 8

ER -

On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this