An X-FEM and level set computational approach for image-based modelling: Application to homogenization

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 microstr...

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Bibliographic Details
Published in:International journal for numerical methods in engineering 2011-05, Vol.86 (7), p.915-934
Main Authors: Legrain, G., Cartraud, P., Perreard, I., Moës, N.
Format: Article
Language:English
Subjects:
Applied sciences
Artificial intelligence
Computation
Computer science
control theory
systems
Cross-disciplinary physics: materials science
rheology
Engineering Sciences
Exact sciences and technology
Finite element method
homogenization
Homogenizing
image-based modelling
level sets
Materials science
Materials testing
Mathematical analysis
Mechanics
Numerical analysis
Pattern recognition. Digital image processing. Computational geometry
Physics
Structural mechanics
Three dimensional
X-FEM
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Summary: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.
ISSN:0029-5981
1097-0207
1097-0207
DOI:10.1002/nme.3085