20.500.12556/RUL-151689 An improved local radial basis function method for solving small-strain elasto-plasticity Strong-form meshless methods received much attention in recent years and are being extensively researched and applied to a wide range of problems in science and engineering. However, the solution of elasto-plastic problems has proven to be elusive because of often non-smooth constitutive relations between stress and strain. The novelty in tackling them is the introduction of virtual finite difference stencils to formulate a hybrid radial basis function generated finite difference (RBF-FD) method, which is used to solve small-strain von Mises elasto-plasticity for the first time by this original approach. The paper further contrasts the new method to two alternative legacy RBF-FD approaches, which fail when applied to this class of problems. The three approaches differ in the discretization of the divergence operator found in the balance equation that acts on the non-smooth stress field. Additionally, an innovative stabilization technique is employed to stabilize boundary conditions and is shown to be essential for any of the approaches to converge successfully. Approaches are assessed on elastic and elasto-plastic benchmarks where admissible ranges of newly introduced free parameters are studied regarding stability, accuracy, and convergence rate. Von Mises elasto-plasticity radial basis function finite differences polyharmonic splines two dimensions hybrid discretization radial basis function generated finite differences elasto-plastičnost radialne bazne funkcije končne diference dvodimenzionalnost hibridna diskretizacija true false true Angleški jezik Slovenski jezik Članek v reviji 2023-10-16 13:30:41 2023-10-16 13:30:47 2024-10-03 10:47:59 0000-00-00 00:00:00 2024 0 0 28 str. pt. A, art. 116501 Vol. 418 Jan. 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 539.3 0045-7825 10.1016/j.cma.2023.116501 168587267 Vuga,_Mavric,_Sarler-An_improved_local_radial_basis_function_method_for_solving_small-strain_elasto-plasticity.pdf Vuga,_Mavric,_Sarler-An_improved_local_radial_basis_function_method_for_solving_small-strain_elasto-plasticity.pdf 1 7512F111346C9D177CCB1D13116079C7 72e48e74ba9d30988d46045e06e9625f72e66b58a9fab790ec30ca666bb6140c e2035f3b-6c17-11ee-a772-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=176718 https://www.sciencedirect.com/science/article/pii/S0045782523006254 1 741d9a9b-6c17-11ee-a772-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=176717 Fakulteta za strojništvo 0 0 0