20.500.12556/RUL-169106 Meshless solution of the crack propagation in brittle elastic material under shear, compressible and tensile loading This study explores a robust and computationally efficient two-dimensional solution procedure for phase-field modelling of crack propagation under tensile, compressive, and shear loadings by using the meshless local radial basis function collocation method (LRBFCM). The mechanical model is based on the brittle elastic material, and the crack propagation is governed by the fourth-order phase field equation coupled in a staggered way. The spectral-split method for strain tensor decomposition of a brittle elastic material is used with LRBFCM for crack propagation for the first time. It ensures that the crack is propagated physically correctly under different loading types, filling the gap in our previous study [1], where crack propagation only under tensile loading was possible. The strong-form LRBFCM is constructed on 13-noded subdomains with augmented third- order polyharmonic spline shape functions. A novel adaptive loading step size criterion is introduced to increase computational efficiency by removing cumbersome internal iteration processes. The method’s performance is assessed with three benchmark tests subjected to mixed-mode tension, shear and compressive loading. The results are validated with the reference solutions regarding accuracy and convergence rates for scattered and regular node arrangements. The effects of the iterative and non-iterative processes with different loading step sizes are shown. strong form LRBFCM higher-order phase field crack propagation PHSs spectral-split strain decomposition shear test true false true Angleški jezik Ni določen Članek v reviji 2025-05-12 13:18:31 2025-05-12 13:18:36 2025-05-13 12:36:07 0000-00-00 00:00:00 2025 0 0 26 str. art. 111207 Vol. 323 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 621.7.019.1 1873-7315 10.1016/j.engfracmech.2025.111207 235555843 RAZ_Ali_Izaz_2025.pdf RAZ_Ali_Izaz_2025.pdf 1 DBFD1680CF9581B71E7752FD3282DCE3 89361f513ced0824257a0c84a3e99e9298b72325698c59fb6d88d2a32566ac38 1397a56c-2f22-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=210269 https://www.sciencedirect.com/science/article/pii/S0013794425004084 0 a410c283-2f21-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=210268 Fakulteta za strojništvo 0 0 0