20.500.12556/RUL-152636 A hybrid radial basis function-finite difference method for modelling two-dimensional thermo-elasto-plasticity, Part 1 method formulation and testing A hybrid version of the strong form meshless Radial Basis Function-Finite Difference (RBF-FD) method is introduced for solving thermo-mechanics. The thermal model is spatially discretised with RBF-FD, where trial functions are polyharmonic splines augmented with polynomials. For time discretisation, the explicit Euler method is employed. An extension of RBF-FD, the hybrid RBF-FD, is introduced for solving mechanical problems. The model is one-way coupled, where temperature affects displacements. The thermo-elastoplastic material response is considered where the stress field is generally non-smooth. The hybrid RBF-FD, where the finite difference method is used to discretise the divergence operator from the balance equation, is shown to be successful when dealing with such problems. The mechanical model is introduced in a plane strain and in a generalised plane strain (GPS) assumption. For the first time, this work presents a strong form RBF-FD for GPS problems subjected to integral form constraints. The proposed method is assessed regarding h-convergence and accuracy on the benchmark with heating an elastoplastic square. It is proven to be successful at solving one-way coupled thermo-elastoplastic problems. The proposed novel meshless approach is efficient, accurate, and robust. Its use in an industrial situation is provided in Part 2 of this paper. thermo-mechanical modelling von Mises small strain plasticity hybrid radial basis function generated finite differences polyharmonic splines termo-mehansko modeliranje von Misesova plastičnost z majhnimi deformacijami hibridne končne diference generirane z radialnimi baznimi funkcijami poliharmonični zlepki true false true Angleški jezik Slovenski jezik Članek v reviji 2023-12-01 12:43:11 2023-12-01 12:43:17 2024-10-03 10:50:28 0000-00-00 00:00:00 2024 0 0 Str. 58-67 Vol. 159 Feb. 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 539.3:519.6 0955-7997 10.1016/j.enganabound.2023.11.014 174529795 1-s2.0-S095579972300543X-main.pdf 1-s2.0-S095579972300543X-main.pdf 1 EE4E1FE031A150B5685B00AB3775685E dbe339d9146483437c076d784c4644499e9fcae62c2b1ffd22d7301d0cf32adb c918af06-c1af-11ee-9ac8-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=180496 https://www.sciencedirect.com/science/article/pii/S095579972300543X 1 d1ab79bd-903e-11ee-b3b7-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=178223 Fakulteta za strojništvo 0 0 0