RT Journal Article ID 2e9cb14b77b66295 A1 Yvonnet, Julien A1 Bonnet, Guy T1 NONLOCAL/COARSE-GRAINING HOMOGENIZATION OF LINEAR ELASTIC MEDIA WITH NON-SEPARATED SCALES USING LEAST-SQUARE POLYNOMIAL FILTERS JF International Journal for Multiscale Computational Engineering JO JMC YR 2014 FD 2014-07-03 VO 12 IS 5 SP 375 OP 395 K1 homogenization K1 nonseparated scales K1 nonlocal elasticity K1 coarse-graining K1 structures K1 multiscale methods AB In this paper, a nonlocal computational method is proposed to construct a mesoscopic (coarse-grained) model of linear elastic heterogeneous materials in the case of nonseparated scales. The framework, introduced in our previous paper (Yvonnet and Bonnet, 2014), extends the classical homogenization framework by using low-pass filters operators instead of averaging operators, and Green's nonlocal functions instead of localization operators. In the present work, we introduce a filtering procedure based on least-square polynomial approximation to avoid the numerical drawbacks of Gaussian filters infinite domains. The complete associated homogenization scheme is described, as well as a numerical procedure based on finite elements to compute the different homogenized operators from a unit cell. The methodology is validated by analyzing both local and mesoscopic mechanical fields in structures where heterogeneities are of comparable size with respect to the loading characteristic fluctuation wavelength. PB Begell House LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,4ebdc75c35ee2dce,2e9cb14b77b66295.html