Vol. 7, No. 8-9, 2012

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ISSN: 1559-3959
A perfectly matched layer for peridynamics in two dimensions

Raymond A. Wildman and George A. Gazonas

Vol. 7 (2012), No. 8-9, 765–781
Abstract
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A perfectly matched layer (PML) absorbing boundary is formulated for and numerically applied to peridynamics in two dimensions. Peridynamics is a nonlocal method, derived to be insensitive to discontinuities, more easily simulating fracture. A PML is an absorbing boundary layer, which decays impinging waves exponentially without introducing reflections at the boundary between the computational region and the absorbing layer. Here, we use state-based peridynamics as PMLs are essentially anisotropic absorbing materials, therefore requiring arbitrary material parameters. State-based peridynamics is also more convenient for auxiliary field formulations, facilitating the implementation of the PML. Results show the efficacy of the approach.

Keywords
peridynamics, perfectly matched layer, absorbing boundary
Milestones
Received: 2 April 2012
Revised: 17 July 2012
Accepted: 18 July 2012
Published: 23 January 2013
Authors
Raymond A. Wildman
Weapons and Materials Research Directorate
U.S. Army Research Laboratory
Attn: RDRL-WMM-B
Aberdeen Proving Ground, MD 21005
United States
George A. Gazonas
Weapons and Materials Research Directorate
U.S. Army Research Laboratory
ATTN: RDRL-WMM-B
Aberdeen Proving Ground, MD 21005
United States