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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/10829
Title: A parallel and efficient multi-split XFEM for 3-D analysis of heterogeneous materials
Authors: Bansal M.
Singh, Indra Vir
Mishra, B. K.
Bordas S.P.A.
Published in: Computer Methods in Applied Mechanics and Engineering
Abstract: We propose a parallel and computationally efficient multi-split XFEM approach for 3-D analysis of heterogeneous materials. In this approach, multiple discontinuities (pores and reinforcement particles) may intersect any given element (we call those elements multi-split elements). These discontinuities are modeled by imposing additional degrees of freedom at the nodes. The main advantage of the proposed scheme is that the mesh size remains independent of the relative distance among the heterogeneities/discontinuities. The pores and reinforcement particles are assumed to be spherical. The simulations are performed for uniform and non-uniform heterogeneity distribution. The Young's modulus of the heterogeneous material is evaluated for different amount of pores and reinforcement particles. To demonstrate the computational efficiency of the multi-split XFEM, elastic damage analysis is performed for the unit cell with 5% pores and 5% reinforcement particles under uniaxial tensile loading. These simulations show that the Young's modulus decreases linearly with the increase in the volume fraction of the pores and increases linearly with the increase in volume fraction of reinforcement particles. The multi-split XFEM is found to be at least 1.8 times computationally efficient than standard XFEM and at least 6.7 times computationally efficient than FEM. © 2018 Elsevier B.V.
Citation: Computer Methods in Applied Mechanics and Engineering (2019), 347(): 365-401
URI: https://doi.org/10.1016/j.cma.2018.12.023
http://repository.iitr.ac.in/handle/123456789/10829
Issue Date: 2019
Publisher: Elsevier B.V.
Keywords: Heterogeneous material
Multi-split XFEM
Parallel computing
Spherical heterogeneities
Unit cell
ISSN: 457825
Author Scopus IDs: 55531336500
57204061377
55578538300
23033088300
Author Affiliations: Bansal, M., Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India
Singh, I.V., Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India
Mishra, B.K., Department of Mechanical and Industrial Engineering, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand 247667, India
Bordas, S.P.A., Department of Computational Engineering Sciences, University of Luxembourg, Luxembourg, Cardiff University, Department of Mechanics and Advanced Materials, School of Engineering, Cardiff, Wales, United Kingdom, Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan
Funding Details: Authors would like to thank Council of Scientific and Industrial Research (CSIR) India , Extramural Research Division, New Delhi, India for providing the financial support to this work from 2nd May 2018 through Grant No: 22(0777)/18/EMR-II . Stéphane P.A. Bordas thanks the financial support of the European Research Council Starting Independent Research 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 and FNRS, India with grant INTER/FNRS/15/11019432/EnLightenIt/Bordas .
Corresponding Author: Singh, I.V.; Department of Mechanical and Industrial Engineering, Indian Institute of Technology RoorkeeIndia; email: indrafme@iitr.ac.in
Appears in Collections:Journal Publications [ME]

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