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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Communication dans un congrès
12e Colloque national en calcul des structures, May 2015, Giens, France. CSMA 2015, 2015, <https://csma2015.ec-nantes.fr/>
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https://hal.archives-ouvertes.fr/hal-01515064
Contributeur : Mathias Legrand <>
Soumis le : jeudi 27 avril 2017 - 04:48:42
Dernière modification le : samedi 3 juin 2017 - 01:04:26

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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, May 2015, Giens, France. CSMA 2015, 2015, <https://csma2015.ec-nantes.fr/>. <hal-01515064>

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