Sensitivity analysis based multi-scale methods of coupled path-dependent problems

Zupan, Nina (avtor), Korelc, Jože (avtor)

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.

• Jezik: Angleški jezik
• Ključne besede: two-level path-following, multi-scale methods, sensitivity analysis, mesh-in-element, FE$^2$
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FGG - Fakulteta za gradbeništvo in geodezijo
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2020
• Št. strani: Str. 229-248
• Številčenje: Vol. 65, iss. 1
• PID: 20.500.12556/RUL-114128
• UDK: 531/533
• ISSN pri članku: 0178-7675
• DOI: 10.1007/s00466-019-01762-8
• COBISS.SI-ID: 8898145
• Datum objave v RUL: 18.02.2020

Gradivo je del revije

• Naslov: Computational mechanics
• Skrajšan naslov: Comput. mech.
• Založnik: Springer
• ISSN: 0178-7675
• COBISS.SI-ID: 6668037

Licence

• Licenca: CC BY 4.0, Creative Commons Priznanje avtorstva 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by/4.0/deed.sl
• Opis: To je standardna licenca Creative Commons, ki daje uporabnikom največ možnosti za nadaljnjo uporabo dela, pri čemer morajo navesti avtorja.
• Začetek licenciranja: 01.01.2020

Sekundarni jezik

• Jezik: Slovenski jezik
• Ključne besede: dvo-nivojsko sledenje poti, metode na več skalah, občuljivostna analiza, mreža-v-elementu, FE$^2$

Projekti

• Financer: ARRS - Agencija za raziskovalno dejavnost Republike Slovenije
• Program financ.: Young researchers
• Številka projekta: 630-34/2015-7