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A perfectly matched
layer for peridynamics in two dimensions
Raymond A. Wildman and George A. Gazonas |
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Vol. 7 (2012), No. 8-9, 765–781
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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
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Milestones
Received: 2 April 2012
Revised: 17 July 2012
Accepted: 18 July 2012
Published: 23 January 2013
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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 |
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| George A. Gazonas | |
| Weapons and Materials Research
Directorate U.S. Army Research Laboratory ATTN: RDRL-WMM-B Aberdeen Proving Ground, MD 21005 United States |
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