article

Tognevi Amen and Guerich Mohamed and Yvonnet Julien


Modelisation Group (2016) : A multi-scale modeling method for heterogeneous structures without scale separation using a filter-based homogenization scheme




A multi-scale modeling method for heterogeneous structures without scale separation using a filter-based homogenization scheme

Tognevi Amen and Guerich Mohamed and Yvonnet Julien




article

International Journal for Numerical Methods in Engineering

A method is proposed to compute the response of highly heterogeneous structures by constructing homogenized models when no scale separation can be assumed. The technique is based on an extended homogenization scheme where the averaging operators are replaced by linear filters to cut off fine scale fluctuations, while maintaining locally varying mechanical fields with larger wavelength. As a result, the constitutive law at an intermediate scale, called mesoscale, arises to be naturally nonlocal by construction, where the kernel operator is fully constructed by computations on the unit cell associated with the microstructure. A displacement-based numerical strategy is developed to implement the technique in a classical finite element framework and does not require higher-order elements. The methodology is applied to construct simplified models of heterogeneous structures subjected to loads, which have a characteristic wavelength comparable with the dimensions of the heterogeneities or in presence of strong strain localization as in cracked heterogeneous structures. Copyright © 2016 John Wiley & Sons, Ltd.

To cite this publication :


Tognevi Amen, Guerich Mohamed, Yvonnet Julien: A multi-scale modeling method for heterogeneous structures without scale separation using a filter-based homogenization scheme. Dans: International Journal for Numerical Methods in Engineering, p. n/a–n/a, 2016, ISSN: 1097-0207.





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