20.500.12556/RUL-114128 Sensitivity analysis based multi-scale methods of coupled path-dependent problems In the paper, a generalized essential boundary condition sensitivity analysis based implementation of FE2 and mesh-inelement (MIEL) multi-scale methods is derived as an alternative to standard implementations of multi-scale analysis, where the calculation of Schur complement of the microscopic tangent matrix is needed for bridging the scales. The paper presents a unified approach to the development of an arbitrary MIEL or FE2 computational scheme for an arbitrary path-dependent material model. Implementation is based on efficient first and second order analytical sensitivity analysis, for which automaticdifferentiation-based formulation of essential boundary condition sensitivity analysis is derived. A fully consistently linearized two-level path-following algorithm is introduced as a solution algorithm for the multi-scale modeling. Sensitivity analysis allows each macro step to be followed by an arbitrary number of micro substeps while retaining quadratic convergence of the overall solution algorithm. two-level path-following multi-scale methods sensitivity analysis mesh-in-element FE$^2$ dvo-nivojsko sledenje poti metode na več skalah občuljivostna analiza mreža-v-elementu FE$^2$ true false true Angleški jezik Slovenski jezik Članek v reviji 2020-02-18 12:44:57 2020-02-18 12:49:56 2023-03-20 08:47:46 0000-00-00 00:00:00 2020 0 0 Str. 229-248 iss. 1 Vol. 65 2020 0000-00-00 Zaloznikova Objavljeno apc 0000-00-00 0000-00-00 0000-00-00 531/533 0178-7675 10.1007/s00466-019-01762-8 8898145 6668037 Zupan-Korelc2020_Article_SensitivityAnalysisBasedMulti-.pdf Zupan-Korelc2020_Article_SensitivityAnalysisBasedMulti-.pdf 1 9E26F89DCC2E3446F73CF0A283CD0BB7 54060980c02ba388a48f3fc6afce3a657bb919f40b0d4a3dfca4a415a9b453a7 2fae729e-a1b8-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=126279 https://link.springer.com/article/10.1007/s00466-019-01762-8 0 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=126278 Fakulteta za gradbeništvo in geodezijo 0 0 0