Efficient meshless phase-field modeling of crack propagation by using adaptive load increments and variable node densities

Ali, Izaz (avtor), Šarler, Božidar (avtor), Mavrič, Boštjan (avtor)

This study employs the fourth-order phase-field method (PFM) to investigate crack propagation. The PFM incurs significant computational costs due to its need for a highly dense node arrangement for accurate crack propagation. This study proposes an adaptive loading step size strategy combined with a scattered node (SCN▫$_{var}$▫) arrangement with variable spacings. The mechanical and phase-field models are solved using the strong-form meshless local radial basis function collocation method in a staggered approach. The method’s performance is evaluated based on accuracy and computational cost, using regular nodes (RGN) and scattered nodes (SCN▫$_{uni}$▫) with uniform spacing, as well as SCN▫$_{var}$▫ with variable node spacing. Two benchmark tests are used to analyze the proposed method: a symmetric double-notch tension and a single-edge notch shear test. The analysis shows that the adaptive step size strategy improves numerical stability while the SCNvar significantly reduces computational cost. Using SCN▫$_{var}$▫, the CPU time is decreased by about thirty times compared to uniform nodes in the tensile case and by approximately three times in the shear case, without sacrificing accuracy. This confirms that directing computational resources to critical regions can significantly reduce CPU time, suggesting that adaptive node redistribution could further enhance computational performance.

• Jezik: Angleški jezik
• Ključne besede: phase-field method, strong-form meshless method, LRBFCM, adaptive load step size, scattered nodes, PH_
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FS - Fakulteta za strojništvo
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2025
• Št. strani: 18 str.
• Številčenje: Vol. 13, issue 23, art. 3795
• PID: 20.500.12556/RUL-176501
• UDK: 531:51
• ISSN pri članku: 2227-7390
• DOI: 10.3390/math13233795
• COBISS.SI-ID: 259597059
• Datum objave v RUL: 02.12.2025

Gradivo je del revije

• Naslov: Mathematics
• Skrajšan naslov: Mathematics
• Založnik: MDPI AG
• ISSN: 2227-7390
• COBISS.SI-ID: 523267865

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.