Affiliations: Department of Civil and Environmental Engineering,
Korea University, 5 Ga 1, An-Am Dong, Sung-Buk Gu, Seoul, 136-701,
Korea | Livermore Software Technology Corporation, 7374 Las
Positas Road, Livermore, CA 94550, USA | Department of Mechanical Engineering, Northwestern
University, 2145 Sheridan Road, Evanston, IL 60208-3111, USA
Note: [] Corresponding author: Walter P. Murphy Professor of Mechanical
Engineering, Northwestern University, 2145 Sheridan Road, Evanston, IL
60208-3111, USA. E-mail: tedbelytschko@northwestern.edu
Abstract: A method for modelling arbitrary growth of dynamic cracks without
remeshing is presented. The method is based on a local partition of unity. It
is combined with level sets, so that the discontinuities can be represented
entirely in terms of nodal data. This leads to a simple method with clean data
structures that can easily be incorporated in general purpose software. Results
for a mixed-mode dynamic fracture problem are given to demonstrate the
method.
