Chen, Y., Lee, J.D., and Eskandarian, A. (2002) “Dynamic meshless method applied to nonlocal cracked problems”, Theoretical and Applied Fracture Mechanics, 38, 293-300.

Abstract: The dynamic meshless methods for local and nonlocal field theories are formulated in this paper. Application to two 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.