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Title:Fourth-order phase field modelling of brittle fracture with strong form meshless method
Authors:ID Ali, Izaz (Author)
ID Vuga, Gašper (Author)
ID Mavrič, Boštjan (Author)
ID Hanoglu, Umut (Author)
ID Šarler, Božidar (Author)
Files:.pdf PDF - Presentation file, download (7,57 MB)
MD5: 65F6A05DFC3D28B591BBB53253273EA8
 
URL URL - Source URL, visit https://www.sciencedirect.com/science/article/pii/S0955799724004983
 
Language:English
Typology:1.01 - Original Scientific Article
Organization:Logo IMT - Institute of Metals and Technology
Abstract:This study aims to find a solution for crack propagation in 2D brittle elastic material using the local radial basis function collocation method. The staggered solution of the fourth-order phase field and mechanical model is structured with polyharmonic spline shape functions augmented with polynomials. Two benchmark tests are carried out to assess the performance of the method. First, a non-cracked square plate problem is solved under tensile loading to validate the implementation by comparing the numerical and analytical solutions. The analysis shows that the iterative process converges even with a large loading step, whereas the non-iterative process requires smaller steps for convergence to the analytical solution. In the second case, a single-edge cracked square plate subjected to tensile loading is solved, and the results show a good agreement with the reference solution. The effects of the incremental loading, length scale parameter, and mesh convergence for regular and scattered nodes are demonstrated. This study presents a pioneering attempt to solve the phase field crack propagation using a strong-form meshless method. The results underline the essential role of the represented method for an accurate and efficient solution to crack propagation. It also provides valuable insights for future research towards more sophisticated material models.
Keywords:strong form meshless method, fourth-order phase field, crack propagation, staggered approach, polyharmonic splines
Publication status:Published
Publication version:Version of Record
Publication date:15.12.2024
Publisher:Elsevier
Year of publishing:2024
Number of pages:str. 1-14
Numbering:Vol. 169, Part B, [art. no.] 106025
Source:Nizozemska
PID:20.500.12556/DiRROS-21003 New window
UDC:539.4
ISSN on article:0955-7997
DOI:10.1016/j.enganabound.2024.106025 New window
COBISS.SI-ID:213966083 New window
Copyright:© 2024 The Authors
Publication date in DiRROS:17.12.2024
Views:202
Downloads:124
Metadata:XML DC-XML DC-RDF
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ALI, Izaz, VUGA, Gašper, MAVRIČ, Boštjan, HANOGLU, Umut and ŠARLER, Božidar, 2024, Fourth-order phase field modelling of brittle fracture with strong form meshless method. Engineering analysis with boundary elements [online]. 2024. Vol. 169, no. Part B,  106025, p. 1–14. [Accessed 21 April 2025]. DOI 10.1016/j.enganabound.2024.106025. Retrieved from: https://dirros.openscience.si/IzpisGradiva.php?lang=eng&id=21003
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Record is a part of a journal

Title:Engineering analysis with boundary elements
Shortened title:Eng. anal. bound. elem.
Publisher:Elsevier
ISSN:0955-7997
COBISS.SI-ID:5605380 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Funding programme:Young researchers
Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P2-0162
Name:Večfazni sistemi
Funder:ARIS - Slovenian Research and Innovation Agency
Project number:L2-3173
Name:NAPREDNA SIMULACIJA IN OPTIMIZACIJA CELOTNE PROCESNE POTI ZA IZDELAVO VRHUNSKIH JEKEL
Funder:ARIS - Slovenian Research and Innovation Agency
Project number:L2-2609
Name:Simulacije vročega valjanja za proizvodnjo jekel vrhunskih kvalitet
Funder:ARIS - Slovenian Research and Innovation Agency
Project number:Z2-2640
Name:Razvoj naprednih brezmrežnih metod za modeliranje predelave kovin na visokozmogljivih računalnikih
Funder:ARIS - Slovenian Research and Innovation Agency
Project number:J2-4477
Name:RAZVOJ INOVATIVNIH BREZMREŽNIH METOD ZA VEČFIZIKALNE IN VEČNIVOJSKE SIMULACIJE VRHUNSKIH TEHNOLOGIJ
Funder:Other - Other funder or multiple funders
Funding programme:Štore-Steel Company

Licences

License:CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Link:http://creativecommons.org/licenses/by-nc-nd/4.0/
Description:The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.
Licensing start date:03.11.2024
Applies to:Text and Data Mining valid from 2024-12-01 Version of Record valid from 2024-11-03

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