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Non-conforming multipatches for NURBS-based finite element analysis of higher-order phase-field models for brittle fracture

Nguyen, K; Augarde, CE; Coombs, WM; Nguyen-Xuan, H; Abdel-Wahab, M

Non-conforming multipatches for NURBS-based finite element analysis of higher-order phase-field models for brittle fracture Thumbnail


Authors

K Nguyen

H Nguyen-Xuan

M Abdel-Wahab



Abstract

This paper proposes an effective computational tool for brittle crack propagation problems based on a combination of a higher-order phase-field model and a non-conforming mesh using a NURBS-based isogeometric approach. This combination, as demonstrated in this paper, is of great benefit in reducing the computational cost of using a local refinement mesh and a higher-order phase-field, which needs higher derivatives of basis functions. Compared with other approaches using a local refinement mesh, the Virtual Uncommon-Knot-Inserted Master-Slave (VUKIMS) method presented here is not only simple to implement but can also reduce the variable numbers. VUKIMS is an outstanding choice in order to establish a local refinement mesh, i.e. a non-conforming mesh, in a multi-patch problem. A phase-field model is an efficient approach for various complicated crack patterns, including those with or without an initial crack path, curved cracks, crack coalescence, and crack propagation through holes. The paper demonstrates that cubic NURBS elements are ideal for balancing the computational cost and the accuracy because they can produce accurate solutions by utilising a lower degree of freedom number than an extremely fine mesh of first-order B-spline elements.

Journal Article Type Article
Acceptance Date May 30, 2020
Online Publication Date Jun 4, 2020
Publication Date 2020-08
Deposit Date Jun 4, 2020
Publicly Available Date Jun 4, 2021
Journal Engineering Fracture Mechanics
Print ISSN 0013-7944
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 235
Article Number 107133
DOI https://doi.org/10.1016/j.engfracmech.2020.107133
Public URL https://durham-repository.worktribe.com/output/1300805

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