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A position-aware
linear solid constitutive model for peridynamics
John A. Mitchell, Stewart A. Silling and David J. Littlewood |
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Vol. 10 (2015), No. 5, 539–557
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DOI: 10.2140/jomms.2015.10.539
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Abstract |
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A position-aware linear solid (PALS) peridynamic constitutive model is proposed for isotropic elastic solids. The PALS model addresses problems that arise, in ordinary peridynamic material models such as the linear peridynamic solid (LPS), due to incomplete neighborhoods near the surface of a body. Improved model behavior in the vicinity of free surfaces is achieved through the application of two influence functions that correspond, respectively, to the volumetric and deviatoric parts of the deformation. The model is position-aware in that the influence functions vary over the body and reflect the proximity of each material point to free surfaces. Demonstration calculations on simple benchmark problems show a sharp reduction in error relative to the LPS model. |
Keywords
peridynamics, PALS, ordinary state, lps, surface effects,
elastic model, nonlocal, integral equations
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Milestones
Received: 2 October 2014
Revised: 9 February 2015
Accepted: 12 March 2015
Published: 6 November 2015
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Authors |
| John A. Mitchell | |
| Multiscale Science Sandia National Laboratories P.O. Box 5800 MS 1322 Albuquerque, NM 87185-1322 United States |
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| Stewart A. Silling | |
| Multiscale Science Sandia National Laboratories P.O. Box 5800 MS 1322 Albuquerque, NM 87185-1322 United States |
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| David J. Littlewood | |
| Multiscale Science Sandia National Laboratories PO Box 5800 MS 1322 Albuquerque, NM 87185-1322 United States |
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