Доступ предоставлен для: Guest
Портал Begell Электронная Бибилиотека e-Книги Журналы Справочники и Сборники статей Коллекции
International Journal for Multiscale Computational Engineering
Импакт фактор: 1.016 5-летний Импакт фактор: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352

Выпуски:
Том 17, 2019 Том 16, 2018 Том 15, 2017 Том 14, 2016 Том 13, 2015 Том 12, 2014 Том 11, 2013 Том 10, 2012 Том 9, 2011 Том 8, 2010 Том 7, 2009 Том 6, 2008 Том 5, 2007 Том 4, 2006 Том 3, 2005 Том 2, 2004 Том 1, 2003

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v6.i4.80
pages 371-392

Adaptive Bridging of Scales in Continuum Modeling Based on Error Control

Fredrik Larsson
Department of Applied Mechanics, Chalmers University of Technology, S-412 96 Gothenburg
Kenneth Runesson
Department of Structural Mechanics Chalmers, University of Technology S-41296 Goteborg, Sweden

Краткое описание

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.


Articles with similar content:

ERROR CONTROLLED USE OF THE TAYLOR ASSUMPTION IN ADAPTIVE HIERARCHICAL MODELING OF DSS
International Journal for Multiscale Computational Engineering, Vol.13, 2015, issue 2
Robert Lillbacka, Kenneth Runesson, Fredrik Larsson
Toward Two-Scale Adaptive FEM Modeling of Nonlinear Heterogeneous Materials
International Journal for Multiscale Computational Engineering, Vol.8, 2010, issue 3
Marta Serafin, Witold Cecot
PERTURBATION-BASED SURROGATE MODELS FOR DYNAMIC FAILURE OF BRITTLE MATERIALS IN A MULTISCALE AND PROBABILISTIC CONTEXT
International Journal for Multiscale Computational Engineering, Vol.14, 2016, issue 3
Junwei Liu , Lori Graham-Brady
AN APPROACH TO MODELING OF DEFORMATION OF MEDIA WITH POROSITIES OF DIFFERENT SCALES
Composites: Mechanics, Computations, Applications: An International Journal, Vol.4, 2013, issue 2
P. S. Shushpannikov, Yury Solyaev
HIGHER ORDER MULTIPOINT MESHLESS FINITE DIFFERENCE METHOD FOR TWO-SCALE ANALYSIS OF HETEROGENEOUS MATERIALS
International Journal for Multiscale Computational Engineering, Vol.17, 2019, issue 3
Irena Jaworska