20.500.12556/DiRROS-20996 Strong-form meshless numerical modelling of visco-plastic material This work extends our research on the strong-form meshless Radial Basis Function - Finite Difference (RBF-FD) method for solving non-linear visco-plastic mechanical problems. The polyharmonic splines with second-order polynomial augmentation are used for the shape functions. Their coefficients are determined by collocation. Three different approaches (direct, composed, and hybrid) are used for the numerical evaluation of the divergence operator in the equilibrium equation. They are presented and assessed for a visco-plastic material model with continuously differentiable material properties. It is shown that the direct approach is not suitable in this respect. In comparison to the previously investigated elasto-plasticity, it is shown that the composed approach can successfully cope with visco-plastic problems and is found to be even more accurate than the hybrid approach, which has previously proven to be most stable and effective in solving elasto-plasticity. This work extends the applicability of strong-form RBF-FD methods and opens up new areas of modelling non-linear solid mechanics. visco-plastic material responses hybrid radial basis generated finite differences polyharmonic splines viskoplastični materialni odzivi hibridne končne diference radialne bazne funkcije poliharmonični zlepki true false true Elsevier Nizozemska Angleški jezik Slovenski jezik © 2024 The Author(s) Neznano 2024-12-16 08:28:52 2024-12-16 08:28:52 2024-12-17 03:36:27 0000-00-00 00:00:00 2024 0 0 str. 1-17 Vol. 167, [art. no.] 105868 Oct. 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2024-10-01 539.3:519.6 0955-7997 10.1016/j.enganabound.2024.105868 201503491 RAZ_Vuga_Gasper_2024.pdf RAZ_Vuga_Gasper_2024.pdf 1 68A00E8F4397FE5BB86ABCB55F0EFBA3 cffaf911f0fa33ea6f448d7abc2e3e4593346eefe9b734686c6654ad28409d1c c2d9da66-bb80-11ef-ba3f-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=29710 https://www.sciencedirect.com/science/article/pii/S0955799724003436 1 672b62b4-bb7f-11ef-ba3f-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=29709 Inštitut za kovinske materiale in tehnologije 0 0 0