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

Leslie Greengard, Johan Helsing

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)1441-1462
Number of pages22
JournalJournal of the Mechanics and Physics of Solids
Volume46
Issue number8
StatePublished - Aug 1 1998

Fingerprint

elastostatics
Integral equations
Elasticity
composite materials
evaluation
Composite materials
quadratures
multipoles
integral equations
Costs
resources
inclusions
costs

Keywords

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

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Condensed Matter Physics

Cite this

On the numerical evaluation of elastostatic fields in locally isotropic two-dimensional composites. / Greengard, Leslie; Helsing, Johan.

In: Journal of the Mechanics and Physics of Solids, Vol. 46, No. 8, 01.08.1998, p. 1441-1462.

Research output: Contribution to journalArticle

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