Publicado 6 números por año
ISSN Imprimir: 1543-1649
ISSN En Línea: 1940-4352
Indexed in
Adaptive Bridging of Scales in Continuum Modeling Based on Error Control
SINOPSIS
The common approach of spatial homogenization for resolving strong material heterogeneity is based on complete scale separation. The other extreme approach is to completely resolve the fine scale(s) in the macroscale computation. In this paper, we propose a novel algorithm for scaletransition such that the two extremes presented above are bridged in a "seamless" fashion. An important ingredient is a generalized macrohomogeneity condition. As part of the algorithm, the approach to the subscale modeling is chosen adaptively based on the relation of the macroscale mesh diameter to the typical length scale of the subscale structure. Moreover, the macroscale mesh adaptivity is driven by an estimation of discretization errors, which is an absolutely essential feature. Numerical examples, although quite simple, illustrate the principle and the effectivity of the adaptive procedure.
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Larsson Fredrik, Runesson Kenneth, Su Fang, Variationally consistent computational homogenization of transient heat flow, International Journal for Numerical Methods in Engineering, 2009. Crossref
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Larsson Fredrik, Runesson Kenneth, Su Fang, Computational homogenization of uncoupled consolidation in micro-heterogeneous porous media, International Journal for Numerical and Analytical Methods in Geomechanics, 34, 14, 2010. Crossref
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Larsson Fredrik, Runesson Kenneth, On two-scale adaptive FE analysis of micro-heterogeneous media with seamless scale-bridging, Computer Methods in Applied Mechanics and Engineering, 200, 37-40, 2011. Crossref
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Su Fang, Larsson Fredrik, Runesson Kenneth, Computational homogenization of coupled consolidation problems in micro-heterogeneous porous media, International Journal for Numerical Methods in Engineering, 88, 11, 2011. Crossref
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Fish Jacob, Filonova Vasilina, Fafalis Dimitrios, Computational continua revisited, International Journal for Numerical Methods in Engineering, 102, 3-4, 2015. Crossref
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Memarnahavandi Arash, Larsson Fredrik, Runesson Kenneth, A goal-oriented adaptive procedure for the quasi-continuum method with cluster approximation, Computational Mechanics, 55, 4, 2015. Crossref
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Svenning Erik, Larsson Fredrik, Fagerström Martin, Two-scale modeling of fracturing solids using a smeared macro-to-micro discontinuity transition, Computational Mechanics, 60, 4, 2017. Crossref
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Bishop Joseph E., Brown Judith A., Adaptive reduction of constitutive model-form error using a posteriori error estimation techniques, Computer Methods in Applied Mechanics and Engineering, 340, 2018. Crossref
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Ekre Fredrik, Larsson Fredrik, Runesson Kenneth, On error controlled numerical model reduction in FE 2 ‐analysis of transient heat flow , International Journal for Numerical Methods in Engineering, 119, 1, 2019. Crossref
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Ekre Fredrik, Larsson Fredrik, Runesson Kenneth, Jänicke Ralf, A posteriori error estimation for numerical model reduction in computational homogenization of porous media, International Journal for Numerical Methods in Engineering, 121, 23, 2020. Crossref