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On non-stationary polarization methods in FFT-based computational micromechanics
International Journal for Numerical Methods in Engineering ( IF 2.7 ) Pub Date : 2021-08-17 , DOI: 10.1002/nme.6812
Matti Schneider 1
Affiliation  

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.

中文翻译:

基于 FFT 的计算微力学中的非平稳极化方法

极化型方法是基于 FFT 的计算微力学最快的求解方法之一。然而,它们的性能关键取决于参考材料的选择。仅对于有限对比的材料,最佳选择策略是已知的。这项工作侧重于选择参考材料的自适应策略,详细介绍了它们的有效实现,并研究了计算性能。明确包括多孔材料的情况。作为副产品,我们引入了一个合适的收敛标准,允许与基于应变的 FFT 求解器和 Eyre-Milton 类型的实现进行公平的比较。
更新日期:2021-10-19
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