On two-scale adaptive FE analysis of micro-heterogeneous media with seamless scale-bridging
Artikel i vetenskaplig tidskrift, 2011

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.

mechanics

error control

Adaptivity

Two-scale analysis

discretization errors

homogenization

algorithms

modeling error

FEM

Elasto-plasticity

composites

Seamless scale-bridging

Författare

Fredrik Larsson

Chalmers, Tillämpad mekanik, Material- och beräkningsmekanik

Kenneth Runesson

Chalmers, Tillämpad mekanik, Material- och beräkningsmekanik

Computer Methods in Applied Mechanics and Engineering

0045-7825 (ISSN)

Vol. 200 37-40 2662-2674

Ämneskategorier

Maskinteknik

DOI

10.1016/j.cma.2010.10.012