Chen, Y., Lee, J.D. and Eskandarian, A. (2002) “Local and Nonlocal Meshless Method of Fracture Mechanics”, Proceedings of International Conference of Computational Engineering and Science, July 29 –Aug. 2, Reno, Nevada.

Abstract: The dynamic meshless methods for local and nonlocal field theories are formulated in this paper. Application to crack problems is presented. The meshless method of local theory gives solution that is in good agreement with the classical analytical crack tip solution, while the nonlocal theory yields a solution without stress singularity at the crack tip. The numerical results also show the embedded nonlocal nature of meshless methods.