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On tracking arbitrary crack path with complex variable meshless methods

Li, D.M., Liu, Jia-Hui, Nie, Feng-Hua, Featherston, Carol ORCID: https://orcid.org/0000-0001-7548-2882 and Wu, Zhangming ORCID: https://orcid.org/0000-0001-7100-3282 2022. On tracking arbitrary crack path with complex variable meshless methods. Computer Methods in Applied Mechanics and Engineering 399 (1) , 115402. 10.1016/j.cma.2022.115402

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Abstract

This study presents a numerical modelling framework based on the complex variable meshless methods, which can accurately and efficiently track arbitrary crack paths in two-dimensional linear elastic solids. The key novelty of this work is that the proposed meshless modelling scheme enables a direct element-free approximation for the solutions of linear elastic fracture mechanics problems. The complex variable moving least-squares approximation with a group of simple complex polynomial basis is applied to implement this meshless model, with which the fracture problems with both stationary or progressive cracks are considered and studied. The effects of choosing different definitions of weighted complex variable error norm and different forms of complex polynomial basis on the computational accuracy of crack tip fields and crack paths prediction are analyzed and discussed. Five benchmark numerical examples were studied to demonstrate the superiority of the present complex variable meshless framework over a standard element-free Galerkin method in tracking arbitrary crack paths in two-dimensional elastic solids.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Additional Information: This is an open access article under the terms of the CC-BY Attribution 4.0 International license.
Publisher: Elsevier
ISSN: 0045-7825
Funders: H2020 MSCA-COFUND
Date of First Compliant Deposit: 16 August 2022
Date of Acceptance: 13 July 2022
Last Modified: 10 Nov 2022 11:49
URI: https://orca.cardiff.ac.uk/id/eprint/151983

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