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On non‐stationary polarization methods in FFT‐based computational micromechanics
Author(s) -
Schneider Matti
Publication year - 2021
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.6812
Subject(s) - micromechanics , fast fourier transform , implementation , computer science , convergence (economics) , polarization (electrochemistry) , algorithm , computational science , mathematical optimization , computer engineering , mathematics , programming language , chemistry , composite number , economics , economic growth
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.
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