20.500.12556/RUL-177898 A fourth-order phase-field model of crack initiation and propagation under thermomechanical loading solved with strong-form meshless method This study aims to develop a combination of the fourth-order phase-field method (PFM) and a strong-form meshless solution procedure for crack initiation and propagation under thermomechanical loading in two-dimensional brittle elastic material. The formulation involves thermal, mechanical and fourth-order phase-field equations. A spectral-split method decomposes the elastic strain tensor for physically correct crack propagation under mixed-mode thermomechanical loading conditions. The three coupled equations are solved in a staggered form. The domain discretization is based on regular or scattered nodes, overlapping subdomain division of the domain, and interpolation of the involved subdomain fields using third-order polyharmonic splines combined with second-order polynomial augmentation. The three numerical benchmarks include the pure thermal case, single-edge crack propagation under combined thermomechanical loading and quenching. The suitability and robustness of the proposed meshless approach are demonstrated on both regular and scattered node arrangements, and the corresponding second-order h-convergence of the displacement fields was shown for the subdomains with 13 nodes. The scattered node arrangement more effectively captures crack propagation under complex loading conditions. The originality of this study is twofold. It represents a pioneering approach using the fourth-order PFM to the thermomechanical brittle elastic system and the first solution to the related physical situation by a meshless method. The proposed method possesses a strong performance in terms of accuracy. The required dense node arrangement around the crack influences its computational efficiency. Further study will include an adaptive node arrangement scheme to enhance computational efficiency, enabling the extension to three dimensions. thermomechanical cracks brittle elastic material fourth-order phase-field strong-form meshless method radial basis function interpolation true false true Angleški jezik Ni določen Članek v reviji 2026-01-12 14:38:40 2026-01-12 14:38:50 2026-07-02 12:13:09 0000-00-00 00:00:00 2025 0 0 16 str. pt. B, art. 105078 Vol. 139 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 621.7.019.1 1872-7638 10.1016/j.tafmec.2025.105078 242471171 Ali,_Vuga_..._A_fourth-order_phase....pdf Ali,_Vuga_..._A_fourth-order_phase....pdf 1 DD4A4EA81828FB0540AD8688EC21771E c98821c17dace5be20df92f72f812c46b024e8a08f6f13ca8c82e9cb32344235 3dd48555-efbc-11f0-bf92-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=225312 https://www.sciencedirect.com/science/article/pii/S0167844225002368 0 015e6acf-efbc-11f0-bf92-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=225311 Fakulteta za strojništvo 0 0 0