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  • Sensitivity analysis based multi-scale methods of coupled path-dependent problems
    Zupan, Nina, gradbeništvo, 1990- ; Korelc, Jože, 1965-
    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.
    Vir: Computational mechanics. - ISSN 0178-7675 (Letn. 65, št. jan., 2020, str. 229-248)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2020
    Jezik - angleški
    COBISS.SI-ID - 8898145

    Povezava(-e):

    Repozitorij Univerze v Ljubljani – RUL
    DOI

vir: Computational mechanics. - ISSN 0178-7675 (Letn. 65, št. jan., 2020, str. 229-248)
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