Vol. 10, No. 5, 2015

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This article is available for purchase or by subscription. See below.
A position-aware linear solid constitutive model for peridynamics

John A. Mitchell, Stewart A. Silling and David J. Littlewood

Vol. 10 (2015), No. 5, 539–557
DOI: 10.2140/jomms.2015.10.539

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.

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peridynamics, PALS, ordinary state, lps, surface effects, elastic model, nonlocal, integral equations
Received: 2 October 2014
Revised: 9 February 2015
Accepted: 12 March 2015
Published: 6 November 2015
John A. Mitchell
Multiscale Science
Sandia National Laboratories
P.O. Box 5800
MS 1322
Albuquerque, NM 87185-1322
United States
Stewart A. Silling
Multiscale Science
Sandia National Laboratories
P.O. Box 5800
MS 1322
Albuquerque, NM 87185-1322
United States
David J. Littlewood
Multiscale Science
Sandia National Laboratories
PO Box 5800
MS 1322
Albuquerque, NM 87185-1322
United States