Fourth-order phase-field simulation of cracks using strong form meshless method

Ali, Izaz (author), Vuga, Gašper (author), Mavrič, Boštjan (author), Hanoglu, Umut (author), Šarler, Božidar (author)

The prediction of crack propagation in fracture mechanics is still a fundamental challenge. In recent decades, phase-field formulation emerged as a powerful tool for the simulation of crack evolution, which offers a continuous representation of cracks from intact to broken material. For the first time, the present study combines a fourth-order phase field and a strong-form meshless method to investigate crack propagation in brittle elastic material. The local radial basis function collocation method, structured with the augmented polyharmonic splines, is used to solve the coupled mechanical and phase-field models. Due to the smooth nature of the fourth-order phase-field model, the sharp transition at the crack surface can be avoided. It is found that the presented method successfully predicts the crack propagation for a material subjected to tensile loading. The obtained results agree well with the benchmark case. Further study will include elastoplastic material behaviour and applications to crack formation in different steel processing steps.

• Language: English
• Keywords: meshless methods, fourth-order phase-field
• Typology: 1.08 - Published Scientific Conference Contribution
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2024
• Number of pages: 6 str.
• Numbering: Vol. 2766, art. 012167
• PID: 20.500.12556/RUL-158304
• UDC: 519.62
• ISSN on article: 1742-6596
• DOI: 10.1088/1742-6596/2766/1/012167
• COBISS.SI-ID: 197659395
• Publication date in RUL: 04.06.2024

ALI, Izaz, VUGA, Gašper, MAVRIČ, Boštjan, HANOGLU, Umut and ŠARLER, Božidar, 2024, Fourth-order phase-field simulation of cracks using strong form meshless method. In : Eurotherm 2024 [online]. Published Scientific Conference Contribution. 2024. [Accessed 1 June 2025]. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=158304

Record is a part of a proceedings

• Title: Eurotherm 2024
• COBISS.SI-ID: 197654787

Record is a part of a journal

• Title: Journal of physics. Conference series
• Publisher: Institute of Physics Publishing
• ISSN: 1742-6596
• COBISS.SI-ID: 2035044

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: brezmrežne metode, fazno polje četrtega reda

Projects

• Funder: ARIS - Slovenian Research and Innovation Agency
• Project number: P2-0162
• Name: Tranzientni dvofazni tokovi (2009-2021) -> Večfazni sistemi (2022-2027)

• Funder: ARIS - Slovenian Research and Innovation Agency
• Project number: L2-2609
• Name: Simulacije vročega valjanja za proizvodnjo jekel vrhunskih kvalitet