On non‐stationary polarization methods in FFT‐based computational micromechanics

Polarization‐type methods are among the fastest solution methods for FFT‐based computational micromechanics. However, their performance depends critically on the choice of the reference material. Only for finitely contrasted materials, optimum‐selection strategies are known. This work focuses on ada...

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Bibliographic Details
Published in:International journal for numerical methods in engineering 2021-11, Vol.122 (22), p.6800-6821
Main Author: Schneider, Matti
Format: Article
Language:English
Subjects:
ADMM
computational micromechanics
FFT‐based computational homogenization
Materials selection
Micromechanics
Polarization
polarization methods
Porous materials
Reference materials
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Summary:Polarization‐type methods are among the fastest solution methods for FFT‐based computational micromechanics. However, their performance depends critically on the choice of the reference material. Only for finitely contrasted materials, optimum‐selection strategies are known. This work focuses on adaptive strategies for choosing the reference material, details their efficient implementation, and investigates the computational performance. The case of porous materials is explicitly included. As a byproduct, we introduce a suitable convergence criterion that permits a fair comparison to strain‐based FFT solvers and Eyre–Milton type implementations.
ISSN:0029-5981
1097-0207
DOI:10.1002/nme.6812