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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/10847
Title: A simple and robust computational homogenization approach for heterogeneous particulate composites
Authors: Bansal M.
Singh, Indra Vir
Patil R.U.
Claus S.
Bordas S.P.A.
Published in: Computer Methods in Applied Mechanics and Engineering
Abstract: In this article, a computationally efficient multi-split MsXFEM is proposed to evaluate the elastic properties of heterogeneous materials. The multi-split MsXFEM is the combination of multi-split XFEM with multiscale finite element methods (MsFEM). The multi-split XFEM is capable to model multiple discontinuities in a single element which leads to reduction in the number of mesh elements, whereas MsFEM helps in reducing the computational time. Strain energy based homogenization has been implemented on an RVE (having volume fraction of heterogeneities up to 50%) for evaluating the elastic properties. From macro-element size analysis, we estimate that the RVE edge length must be 5 times the edge length of the macro-element. The directional analysis has been performed to verify the isotropic behavior of the material, whereas contrast analysis has been done to check the numerical accuracy of the proposed scheme. A level set correction (LSC) based on higher order shape functions has been proposed to reduce mapping errors of level set values. It is also observed that multi-split MsXFEM is about 16 times computationally more efficient than MsXFEM for 50% volume of heterogeneities. © 2019 Elsevier B.V.
Citation: Computer Methods in Applied Mechanics and Engineering (2019), 349(): 45-90
URI: https://doi.org/10.1016/j.cma.2019.02.001
http://repository.iitr.ac.in/handle/123456789/10847
Issue Date: 2019
Publisher: Elsevier B.V.
Keywords: Elastic properties
Heterogeneous particulate composites
Homogenization
MsFEM
Multi-split XFEM
Multiscale modeling
ISSN: 457825
Author Scopus IDs: 55531336500
57204061377
54409263700
56816652900
23033088300
Author Affiliations: Bansal, M., Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Roorkee 247667, Uttarakhand, India
Singh, I.V., Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Roorkee 247667, Uttarakhand, India
Patil, R.U., Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Roorkee 247667, Uttarakhand, India
Claus, S., School of Engineering, Cardiff University, The Parade, Cardiff, CF243AA, United Kingdom
Bordas, S.P.A., Department of Computational Engineering Sciences, University of Luxembourg, Luxembourg
Funding Details: Authors would like to thank Council of Scientific and Industrial Research (CSIR), India , Extramural Research Division, New Delhi for providing the financial support to this work from 2nd May 2018 through Grant No: 22(0777)/18/EMR-II . Bordas thanks the financial support of the European Research Council Starting Independent Research, Belgium Grant (ERC Stg Grant agreement No. 279578 ) entitled “Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery†. Bordas is also grateful for the support of the FNR, Belgium and FNRS, Belgium with Grant No. INTER/FNRS/15/11019432/EnLightenIt/Bordas .
Corresponding Author: Singh, I.V.; Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Roorkee 247667, India; email: indrafme@iitr.ac.in
Appears in Collections:Journal Publications [ME]

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