Premium
An X‐FEM and level set computational approach for image‐based modelling: Application to homogenization
Author(s) -
Legrain G.,
Cartraud P.,
Perreard I.,
Moës N.
Publication year - 2010
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.3085
Subject(s) - homogenization (climate) , finite element method , computer science , algorithm , set (abstract data type) , process (computing) , computational science , mathematics , structural engineering , engineering , biodiversity , ecology , biology , programming language , operating system
The advances in material characterization by means of imaging techniques require powerful computational methods for numerical analysis. The present contribution focuses on highlighting the advantages of coupling the extended finite elements method and the level sets method, applied to solve microstructures with complex geometries. The process of obtaining the level set data starting from a digital image of a material structure and its input into an extended finite element framework is presented. The coupled method is validated using reference examples and applied to obtain homogenized properties for heterogeneous structures. Although the computational applications presented here are mainly two‐dimensional, the method is equally applicable for three‐dimensional problems. Copyright © 2010 John Wiley & Sons, Ltd.