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**Harvard**

Larsson, F. och Runesson, K. (2011) *On two-scale adaptive FE analysis of micro-heterogeneous media with seamless scale-bridging*.

** BibTeX **

@article{

Larsson2011,

author={Larsson, Fredrik and Runesson, Kenneth},

title={On two-scale adaptive FE analysis of micro-heterogeneous media with seamless scale-bridging},

journal={Computer Methods in Applied Mechanics and Engineering},

issn={0045-7825},

volume={200},

issue={37-40},

pages={2662-2674},

abstract={In principle, two approaches are possible for resolving strong material micro-heterogeneity: one approach is to adopt homogenization with the underlying assumption of scale separation, whereas the other approach is to completely resolve the fine scale(s) in a single-scale computation. The point of departure for this paper is a recently proposed algorithm for scale-transition such that the two extreme approaches are bridged in a "seamless" fashion. Numerical homogenization is carried out locally, where needed, based on the relation of the macro-scale mesh diameter to the typical length scale of the subscale structure. Moreover, the macroscale mesh adaptivity is driven by an estimation of discretization errors. In the present paper, we generalize this procedure by introducing two-scale adaptivity, whereby subscale discretization errors are viewed as model errors from the macroscale perspective. Numerical examples, adopting elastic-plastic subscale material properties, illustrate the principle and the effectiveness of the adaptive procedure.},

year={2011},

keywords={FEM, Two-scale analysis, Adaptivity, Seamless scale-bridging, Elasto-plasticity, error control, discretization errors, modeling error, homogenization, composites, algorithms, mechanics },

}

** RefWorks **

RT Journal Article

SR Electronic

ID 143949

A1 Larsson, Fredrik

A1 Runesson, Kenneth

T1 On two-scale adaptive FE analysis of micro-heterogeneous media with seamless scale-bridging

YR 2011

JF Computer Methods in Applied Mechanics and Engineering

SN 0045-7825

VO 200

IS 37-40

SP 2662

OP 2674

AB In principle, two approaches are possible for resolving strong material micro-heterogeneity: one approach is to adopt homogenization with the underlying assumption of scale separation, whereas the other approach is to completely resolve the fine scale(s) in a single-scale computation. The point of departure for this paper is a recently proposed algorithm for scale-transition such that the two extreme approaches are bridged in a "seamless" fashion. Numerical homogenization is carried out locally, where needed, based on the relation of the macro-scale mesh diameter to the typical length scale of the subscale structure. Moreover, the macroscale mesh adaptivity is driven by an estimation of discretization errors. In the present paper, we generalize this procedure by introducing two-scale adaptivity, whereby subscale discretization errors are viewed as model errors from the macroscale perspective. Numerical examples, adopting elastic-plastic subscale material properties, illustrate the principle and the effectiveness of the adaptive procedure.

LA eng

DO 10.1016/j.cma.2010.10.012

LK http://dx.doi.org/10.1016/j.cma.2010.10.012

OL 30