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Title: A position-aware linear solid constitutive model for peridynamics

Abstract

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. We improved model behavior in the vicinity of free surfaces through the application of two influence functions that correspond, respectively, to the volumetric and deviatoric parts of the deformation. Furthermore, 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.

Authors:
 [1];  [1];  [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Multiscale Science
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1338382
Alternate Identifier(s):
OSTI ID: 1497668
Report Number(s):
SAND-2016-12377J; SAND-2014-18512J
Journal ID: ISSN 1559-3959; 649743
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Mechanics of Materials and Structures
Additional Journal Information:
Journal Volume: 10; Journal Issue: 5; Journal ID: ISSN 1559-3959
Publisher:
Mathematical Science Publishers
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; peridynamics; PALS; ordinary state; lps; surface effects; elastic model; nonlocal; integral equations

Citation Formats

Mitchell, John A., Silling, Stewart A., and Littlewood, David J. A position-aware linear solid constitutive model for peridynamics. United States: N. p., 2015. Web. doi:10.2140/jomms.2015.10.539.
Mitchell, John A., Silling, Stewart A., & Littlewood, David J. A position-aware linear solid constitutive model for peridynamics. United States. doi:10.2140/jomms.2015.10.539.
Mitchell, John A., Silling, Stewart A., and Littlewood, David J. Fri . "A position-aware linear solid constitutive model for peridynamics". United States. doi:10.2140/jomms.2015.10.539. https://www.osti.gov/servlets/purl/1338382.
@article{osti_1338382,
title = {A position-aware linear solid constitutive model for peridynamics},
author = {Mitchell, John A. and Silling, Stewart A. and Littlewood, David J.},
abstractNote = {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. We improved model behavior in the vicinity of free surfaces through the application of two influence functions that correspond, respectively, to the volumetric and deviatoric parts of the deformation. Furthermore, 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.},
doi = {10.2140/jomms.2015.10.539},
journal = {Journal of Mechanics of Materials and Structures},
number = 5,
volume = 10,
place = {United States},
year = {2015},
month = {11}
}

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