A filter-based computational homogenization method for handling non-separated scales problems

Abstract : In this work, a computational homogenization framework based on filters is proposed to handle homogenization with arbitrary scale separation. Classical homogenization is extended by using low-pass filters instead of averaging operators, leading to a naturally nonlocal elastic framework, where the kernel function is fully constructed by means of computations on a unit cell describing the microstructure. An associated Finite Element Framework is proposed to deal with heterogeneous structures containing inclusions with characteristic length of the same order than loading fluctuation wavelength.
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Julien Yvonnet, Amen Tognevi, Guy Bonnet, Mohamed Guerich. A filter-based computational homogenization method for handling non-separated scales problems. 12e Colloque national en calcul des structures, CSMA, May 2015, Giens, France. ⟨hal-01515064⟩

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