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Title: Calibrating Bond-Based Peridynamic Parameters Using a Novel Least Squares Approach

Abstract

Here, we present a novel procedure to calibrate bond micromoduli in a discrete bond-based peridynamics setting. Conventionally, an analytical expression has been used based on strain energy equivalence. In the present work, the micromoduli for individual bonds in a neighborhood are calibrated by equating the effective peridynamic stiffness to the reference material stiffness and posed as a set of linear system of equations. The solution to this is found by a least squares approach which aims to reduce the error in the components of the stiffness matrix. Finally, results for an isotropic case in a local neighborhood of particles are shown to demonstrate the feasibility of this approach.

Authors:
ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1489956
Report Number(s):
LA-UR-18-23644
Journal ID: ISSN 2522-896X
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of Peridynamics and Nonlocal Modeling
Additional Journal Information:
Journal Name: Journal of Peridynamics and Nonlocal Modeling; Journal ID: ISSN 2522-896X
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Peridynamics; Surface effects; Micromoduli

Citation Formats

Prakash, Naveen. Calibrating Bond-Based Peridynamic Parameters Using a Novel Least Squares Approach. United States: N. p., 2018. Web. doi:10.1007/s42102-018-0002-z.
Prakash, Naveen. Calibrating Bond-Based Peridynamic Parameters Using a Novel Least Squares Approach. United States. doi:10.1007/s42102-018-0002-z.
Prakash, Naveen. Thu . "Calibrating Bond-Based Peridynamic Parameters Using a Novel Least Squares Approach". United States. doi:10.1007/s42102-018-0002-z.
@article{osti_1489956,
title = {Calibrating Bond-Based Peridynamic Parameters Using a Novel Least Squares Approach},
author = {Prakash, Naveen},
abstractNote = {Here, we present a novel procedure to calibrate bond micromoduli in a discrete bond-based peridynamics setting. Conventionally, an analytical expression has been used based on strain energy equivalence. In the present work, the micromoduli for individual bonds in a neighborhood are calibrated by equating the effective peridynamic stiffness to the reference material stiffness and posed as a set of linear system of equations. The solution to this is found by a least squares approach which aims to reduce the error in the components of the stiffness matrix. Finally, results for an isotropic case in a local neighborhood of particles are shown to demonstrate the feasibility of this approach.},
doi = {10.1007/s42102-018-0002-z},
journal = {Journal of Peridynamics and Nonlocal Modeling},
issn = {2522-896X},
number = ,
volume = ,
place = {United States},
year = {2018},
month = {10}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on October 25, 2019
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