Two‐scale cut‐and‐projection convergence; homogenization of quasiperiodic structures
Niklas Wellander, Sébastien R. L. Guenneau, Elena Cherkaev · Mathematical Methods in the Applied Sciences · 2017
We demonstrate how the problem of finding the effective property of quasiperiodic constitutive relations can be simplified to the periodic homogenization setting by transforming the original quasiperiodic material structure to a periodic heterogeneous material in a higher dimensional space. The characterization of two‐scale cut‐and‐projection convergence limits of partial differential operators is presented. Copyright © 2017 John Wiley & Sons, Ltd.