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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/10753
Title: A Bézier extraction based XIGA approach for three-dimensional crack simulations
Authors: Singh S.K.
Singh, Indra Vir
Bhardwaj G.
Mishra, B. K.
Published in: Advances in Engineering Software
Abstract: In this work, Bézier extraction based extended isogeometric analysis (XIGA) has been performed for three-dimensional (3-D) crack simulations in linear elastic materials. The Bézier extraction represent the original NURBS basis functions in terms of Bernstein shape functions defined over C0 continuous isogeometric Bézier elements, and provides an element wise data structure of NURBS which makes the implementation similar to extended finite element method (XFEM). A crack in the domain is modeled by Heaviside and crack tip enrichment functions. The values of mixed-mode stress intensity factors (SIFs) are obtained by interaction integral approach using virtual cuboidal domain. Various 3-D crack problems are solved by Bézier extraction based XIGA, and the results are compared with XFEM and analytical solutions. © 2018 Elsevier Ltd
Citation: Advances in Engineering Software (2018), 125(): 55-93
URI: https://doi.org/10.1016/j.advengsoft.2018.08.014
http://repository.iitr.ac.in/handle/123456789/10753
Issue Date: 2018
Publisher: Elsevier Ltd
Keywords: Bernstein basis
Bézier extraction
NURBS
SIFs
XIGA
ISSN: 9659978
Author Scopus IDs: 57209533169
57204061377
56379004400
55578538300
Author Affiliations: Singh, S.K., Department of Mechanical and Industrial Engineering, Indian Institute of Technology RoorkeeUttarakhand 247667, India
Singh, I.V., Department of Mechanical and Industrial Engineering, Indian Institute of Technology RoorkeeUttarakhand 247667, India
Bhardwaj, G., Department of Mechanical Engineering, Thapar University, Patiala, Punjab 147001, India
Mishra, B.K., Department of Mechanical and Industrial Engineering, Indian Institute of Technology RoorkeeUttarakhand 247667, India
Funding Details: This work is done as part of doctoral thesis work of Mr. Sunil Kumar Singh under the scheme of Ministry of Human Resource Development (MHRD), Government of India, and it does not receive any specific funding from any other funding agency.
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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