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Title: A kinematic comparison of meshfree and mesh-based Lagrangian approximations using manufactured extreme deformation fields

Abstract

Meshfree methods for solid mechanics have been in development since the early 1990's. Initial motivations included alleviation of the burden of mesh creation and the desire to overcome the limitations of traditional mesh-based discretizations for extreme deformation applications. Here, the accuracy and robustness of both mesh-free and meshbased Lagrangian discretizations are compared using manufactured extreme-deformation fields. For the meshfree discretizations, both moving least squares and maximum entropy are considered. Quantitative error and convergence results are presented for the best approximation in the H1 norm.

Authors:
ORCiD logo [1]
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  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1542139
Report Number(s):
SAND-2019-7686J
Journal ID: ISSN 2196-4378; 677125
Grant/Contract Number:  
AC04-94AL85000; NA0003525
Resource Type:
Accepted Manuscript
Journal Name:
Computational Particle Mechanics
Additional Journal Information:
Journal Volume: 7; Journal ID: ISSN 2196-4378
Publisher:
Springer Nature
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; meshfree; extreme deformation; manufactured solution; stream function

Citation Formats

Bishop, Joseph E. A kinematic comparison of meshfree and mesh-based Lagrangian approximations using manufactured extreme deformation fields. United States: N. p., 2019. Web. doi:10.1007/s40571-019-00256-x.
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Bishop, Joseph E. A kinematic comparison of meshfree and mesh-based Lagrangian approximations using manufactured extreme deformation fields. United States. https://doi.org/10.1007/s40571-019-00256-x
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Bishop, Joseph E. Thu . "A kinematic comparison of meshfree and mesh-based Lagrangian approximations using manufactured extreme deformation fields". United States. https://doi.org/10.1007/s40571-019-00256-x. https://www.osti.gov/servlets/purl/1542139.
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@article{osti_1542139,
title = {A kinematic comparison of meshfree and mesh-based Lagrangian approximations using manufactured extreme deformation fields},
author = {Bishop, Joseph E.},
abstractNote = {Meshfree methods for solid mechanics have been in development since the early 1990's. Initial motivations included alleviation of the burden of mesh creation and the desire to overcome the limitations of traditional mesh-based discretizations for extreme deformation applications. Here, the accuracy and robustness of both mesh-free and meshbased Lagrangian discretizations are compared using manufactured extreme-deformation fields. For the meshfree discretizations, both moving least squares and maximum entropy are considered. Quantitative error and convergence results are presented for the best approximation in the H1 norm.},
doi = {10.1007/s40571-019-00256-x},
journal = {Computational Particle Mechanics},
number = ,
volume = 7,
place = {United States},
year = {2019},
month = {6}
}
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https://doi.org/10.1007/s40571-019-00256-x
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