Implementing peridynamics within a molecular dynamics code

M. L. Parks, R. B. Lehoucq, S. J. Plimpton, S. A. Silling, Comp Phys Comm, 179, 777-783 (2008).

Peridynamics (PD) is a continuum theory that employs a nonlocal model to describe material properties. In this context, nonlocal means that continuum points separated by a finite distance may exert force upon each other. A meshless method results when PD is discretized with material behavior approximated as a collection of interacting particles. This paper describes how PD can be implemented within a molecular dynamics (MD) framework, and provides details of an efficient implementation. This adds a computational mechanics capability to an MD code, enabling simulations at mesoscopic or even macroscopic length and time scales.

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