Nina Zupan (Avtor), Jože Korelc (Avtor)

Povzetek

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.

Ključne besede

dvo-nivojsko sledenje poti;metode na več skalah;občuljivostna analiza;mreža-v-elementu;FE2;two-level path-following;multi-scale methods;sensitivity analysis;mesh-in-element;

Podatki

Jezik: Angleški jezik
Leto izida:
Tipologija: 1.01 - Izvirni znanstveni članek
Organizacija: UL FGG - Fakulteta za gradbeništvo in geodezijo
UDK: 531/533
COBISS: 8898145 Povezava se bo odprla v novem oknu
ISSN: 0178-7675
Št. ogledov: 776
Št. prenosov: 501
Ocena: 0 (0 glasov)
Metapodatki: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Ostali podatki

Sekundarni jezik: Slovenski jezik
Sekundarne ključne besede: dvo-nivojsko sledenje poti;metode na več skalah;občuljivostna analiza;mreža-v-elementu;FE$^2$;
Vrsta dela (COBISS): Članek v reviji
Konec prepovedi (OpenAIRE): 2020-09-19
Strani: str. 229-248
Letnik: ǂLetn. ǂ65
Zvezek: ǂšt. ǂjan.
Čas izdaje: 2020
DOI: 10.1007/s00466-019-01762-8
ID: 11411002