Parallel finite difference methods for multiscale material problems

Research output: Contribution to journalConference article

Abstract

In this paper we discuss a parallel computer implementation of a finite difference method (equivalent to spring-networks) for elliptic-type boundary value problems. The parallelization consists in dividing the material domain into a number of connected subdomains, each of which corresponds to a single processor, and connecting them. The method is illustrated on an example of a functionally graded composite having circular inclusions with graded interphases - a material with many length scales. Rigorous scale-dependent bounds on the effective conductivity of such a composite are calculated from boundary value problems under the essential and natural boundary conditions. It is found that the presence of a narrow graded interphase dramatically changes the effective conductivity from that of a composite with perfect interfaces.

Original languageEnglish (US)
Pages (from-to)71-79
Number of pages9
JournalAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
Volume212
StatePublished - Dec 1 1995
Externally publishedYes
EventProceedings of the 1995 ASME International Mechanical Engineering Congress and Exposition - San Francisco, CA, USA
Duration: Nov 12 1995Nov 17 1995

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Finite difference method
Boundary value problems
Composite materials
Boundary conditions

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Parallel finite difference methods for multiscale material problems. / Ostoja-Starzewski, M.; Schulte, J.

In: American Society of Mechanical Engineers, Applied Mechanics Division, AMD, Vol. 212, 01.12.1995, p. 71-79.

Research output: Contribution to journalConference article

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