TY - JOUR
T1 - Modeling holes and inclusions by level sets in the extended finite-element method
AU - Sukumar, N.
AU - Chopp, D. L.
AU - Moës, N.
AU - Belytschko, T.
N1 - Funding Information:
The authors are grateful for the research support of the National Science Foundation through contract CMS–9732319, and to the Office of Naval Research and the Army Research Office.
PY - 2001/9/14
Y1 - 2001/9/14
N2 - A methodology to model arbitrary holes and material interfaces (inclusions) without meshing the internal boundaries is proposed. The numerical method couples the level set method (S. Osher, J.A. Sethian, J. Comput. Phys. 79 (1) (1988) 12) to the extended finite-element method (X-FEM) (N. Moës, J. Dolbow, T. Belytschko, Int. J. Numer. Methods Engrg. 46 (1) (1999) 131). In the X-FEM, the finite-element approximation is enriched by additional functions through the notion of partition of unity. The level set method is used for representing the location of holes and material interfaces, and in addition, the level set function is used to develop the local enrichment for material interfaces. Numerical examples in two-dimensional linear elastostatics are presented to demonstrate the accuracy and potential of the new technique.
AB - A methodology to model arbitrary holes and material interfaces (inclusions) without meshing the internal boundaries is proposed. The numerical method couples the level set method (S. Osher, J.A. Sethian, J. Comput. Phys. 79 (1) (1988) 12) to the extended finite-element method (X-FEM) (N. Moës, J. Dolbow, T. Belytschko, Int. J. Numer. Methods Engrg. 46 (1) (1999) 131). In the X-FEM, the finite-element approximation is enriched by additional functions through the notion of partition of unity. The level set method is used for representing the location of holes and material interfaces, and in addition, the level set function is used to develop the local enrichment for material interfaces. Numerical examples in two-dimensional linear elastostatics are presented to demonstrate the accuracy and potential of the new technique.
KW - Elastic inclusion
KW - Extended finite-element method
KW - Level set method
KW - Material interface
KW - Voids
UR - http://www.scopus.com/inward/record.url?scp=0035860267&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035860267&partnerID=8YFLogxK
U2 - 10.1016/S0045-7825(01)00215-8
DO - 10.1016/S0045-7825(01)00215-8
M3 - Article
AN - SCOPUS:0035860267
SN - 0045-7825
VL - 190
SP - 6183
EP - 6200
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 46-47
ER -