A parallelized generalized method of cells framework for multiscale studies of composite materials

Ashwin Rai, Travis Skinner, Aditi Chattopadhyay

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents a parallelized framework for a multiscale material analysis method called the generalized method of cells (GMC) model which can be used to effectively homogenize or localize material properties over two different length scales. Parallelization is utlized at two instances: (a) for the solution of the governing linear equations, and (b) for the local analysis of each subcell. The governing linear equation is solved parallely using a parallel form of the Gaussian substitution method, and the subsequent local subcell analysis is performed parallely using a domain decomposition method wherein the lower length scale subcells are equally divided over available processors. The parellization algorithm takes advantage of a single program multiple data (SPMD) distributed memory architecture using the Message Passing Interface (MPI) standard, which permits scaling up of the analysis algorithm to any number of processors on a computing cluster. Results show significant decrease in solution time for the parallelized algorithm compared to serial algorithms, especially for denser microscale meshes. The consequent speed-up in processing time permits the analysis of complex length scale dependent phenomenon, nonlinear analysis, and uncertainty studies with multiscale effects which would otherwise be prohibitively expensive.

Original languageEnglish (US)
Title of host publicationMechanics of Solids, Structures, and Fluids
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791859469
DOIs
StatePublished - Jan 1 2019
Externally publishedYes
EventASME 2019 International Mechanical Engineering Congress and Exposition, IMECE 2019 - Salt Lake City, United States
Duration: Nov 11 2019Nov 14 2019

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
Volume9

Conference

ConferenceASME 2019 International Mechanical Engineering Congress and Exposition, IMECE 2019
CountryUnited States
CitySalt Lake City
Period11/11/1911/14/19

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ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Rai, A., Skinner, T., & Chattopadhyay, A. (2019). A parallelized generalized method of cells framework for multiscale studies of composite materials. In Mechanics of Solids, Structures, and Fluids (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE); Vol. 9). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/IMECE2019-11529