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