Open Access

ARTICLE

Corotational Formulation of Reduced Order Homogenization

by V. Filonova¹, Y. Liu¹, M. Bailakanavar¹, J. Fish¹, Z. Yuan²

1 Columbia University, New York, NY, U.S.A.
2 Multiscale Design Systems, Loudonville, NY, U.S.A.

Computers, Materials & Continua 2013, 34(3), 177-198. https://doi.org/10.3970/cmc.2013.034.177

Abstract

A corotational formulation for reduced order homogenization is presented. While in principle the proposed method is valid for problems with arbitrary large strains, it is computational advantageous over the classical direct computational homogenization method for large rotations but moderate unit cell distortions. We validate the method for several large deformation problems including: (i) hat-section composite beam with two-dimensional chopped tow composite architecture, (ii) polyethylene microstructure consisting of 'hard' and 'soft' domains (segments), and (iii) fiber framework called fiberform either embedded or not in an amorphous matrix.

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Keywords

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