TY - JOUR
T1 - An extended finite element method for dislocations in complex geometries
T2 - Thin films and nanotubes
AU - Oswald, Jay
AU - Gracie, Robert
AU - Khare, Roopam
AU - Belytschko, Ted
N1 - Funding Information:
We gratefully acknowledge the grant support from the NASA University Research, Engineering and Technology Institute on Bio Inspired Materials (BIMat) under Award No. NCC-1-02037, the support of the Army Research Office under Grant No. W911NF-0510049 and the support of Natural Science and Engineering Research Council under a Canada Graduate Scholarship.
PY - 2009/5/1
Y1 - 2009/5/1
N2 - Dislocation models based on the extended finite element method (XFEM) are developed for thin shells such as carbon nanotubes (CNTs) and thin films. In shells, methods for edge dislocations, which move by glide, and prismatic dislocations, which move by climb, are described. In thin films, methods for dislocations with edge, screw and/or prismatic character are developed in three dimensions. Singular enrichments are proposed which allow the Peach-Koehler force to be computed directly from the stress field along the dislocation line and give improved accuracy.
AB - Dislocation models based on the extended finite element method (XFEM) are developed for thin shells such as carbon nanotubes (CNTs) and thin films. In shells, methods for edge dislocations, which move by glide, and prismatic dislocations, which move by climb, are described. In thin films, methods for dislocations with edge, screw and/or prismatic character are developed in three dimensions. Singular enrichments are proposed which allow the Peach-Koehler force to be computed directly from the stress field along the dislocation line and give improved accuracy.
KW - Carbon nanotubes
KW - Dislocations
KW - Extended finite element method
KW - Thin films
KW - Thin shells
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U2 - 10.1016/j.cma.2008.12.025
DO - 10.1016/j.cma.2008.12.025
M3 - Article
AN - SCOPUS:63249116608
SN - 0045-7825
VL - 198
SP - 1872
EP - 1886
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 21-26
ER -