Homogenization of Random Porous Materials With Low-Order Virtual Elements
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering
Volume 5, Issue 3
Abstract
A fast statistical homogenization procedure (FSHP) based on virtual element method (VEM)—previously developed by the authors has been successfully adopted for the homogenization of particulate random composites, via the definition of the representative volume element (RVE), and of the related equivalent elastic moduli. In particular, the adoption of virtual elements of degree one for modeling the inclusions provided reliable results for materials with low contrast, defined as the ratio between mechanical properties of inclusions and matrix. Porous media are then here described as bimaterial systems in which soft circular inclusions, with a very low value of material contrast, are randomly distributed in a continuous stiffer matrix. Several simulations have been performed by varying the level of porosity, highlighting the effectiveness of FSHP in conjunction with virtual elements of degree one. This article is available in the ASME Digital Collection at https://doi.org/10.1115/1.4043475.
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Copyright © 2019 by ASME.
History
Received: Jan 15, 2019
Revision received: Apr 4, 2019
Published online: Jun 5, 2019
Published in print: Sep 1, 2019
Authors
Funding Information
PRIN 2015: B86J1600230000
Sapienza Research Grants 'Grandi Progetti' 2016: B82F16005920005
Sapienza Research Grants 'Progetti Medi' 2017: B83C17001440005
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