Hierarchically parallel coupled finite strain multiscale solver for modeling heterogeneous layers

SummaryWe develop a three‐dimensional, hierarchically parallel, finite strain multiscale solver capable of computing nonlinear multiscale solutions with over 1 billion finite elements and over 574 million nonlinear equations on 1552 computing cores. In the vein of FE2, we use the nested iterative pr...

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Bibliographic Details
Published in:International journal for numerical methods in engineering 2015-04, Vol.102 (3-4), p.748-765
Main Authors: Mosby, Matthew, Matouš, Karel
Format: Article
Language:English
Subjects:
adhesives
Computation
computational homogenization
Devices
Finite element method
heterogeneous layers
high-performance computing
Mathematical analysis
Mathematical models
multiscale cohesive modeling
Solvers
Strain
Three dimensional
Veins
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Summary:SummaryWe develop a three‐dimensional, hierarchically parallel, finite strain multiscale solver capable of computing nonlinear multiscale solutions with over 1 billion finite elements and over 574 million nonlinear equations on 1552 computing cores. In the vein of FE2, we use the nested iterative procedure and devote the solver to multiscale cohesive modeling of heterogeneous hyperelastic layers. The hierarchically parallel multiscale solver takes advantage of a client‐server non‐blocking communication matrix that limits latency, starvation, and overhead by overlaying computations at different scales. We perform simulations of real‐scale engineering devices and bridge O(106) in length‐scales, spanning from O(101) mm to O(101) nm in spatial resolution. Verification of the hierarchically parallel solver is provided together with a mesh convergence study. Moreover, we report on the scaling performance. Copyright © 2014 John Wiley & Sons, Ltd.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.4755