An X-FEM and Level Set computational approach for image-based modeling. Application to homogenization.

Grégory Legrain (1) , Patrice Cartraud (1) , Irina Perreard (2) , Nicolas Moes (1)

1 GeM - Institut de Recherche en Génie Civil et Mécanique
2 DMS - Dartmouth Medical School

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 (X-FEM) 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.

Mots clés: X-FEM; Image-based modeling; Homogenization; Level sets

Domaines: Mécanique des structures [physics.class-ph]; Mécanique des structures [physics.class-ph]

Grégory Legrain, Patrice Cartraud, Irina Perreard, Nicolas Moes. An X-FEM and Level Set computational approach for image-based modeling. Application to homogenization.. International Journal for Numerical Methods in Engineering, 2010, 86 (7), pp.915-934. ⟨10.1002/nme.3085⟩. ⟨hal-00526589⟩