Nina Zupan (Author), Jože Korelc (Author)

Abstract

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.

Keywords

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;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UL FGG - Faculty of Civil and Geodetic Engineering
UDC: 531/533
COBISS: 8898145 Link will open in a new window
ISSN: 0178-7675
Views: 776
Downloads: 501
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Other data

Secondary language: Slovenian
Secondary keywords: dvo-nivojsko sledenje poti;metode na več skalah;občuljivostna analiza;mreža-v-elementu;FE$^2$;
Type (COBISS): Article
Embargo end date (OpenAIRE): 2020-09-19
Pages: str. 229-248
Volume: ǂLetn. ǂ65
Issue: ǂšt. ǂjan.
Chronology: 2020
DOI: 10.1007/s00466-019-01762-8
ID: 11411002