Convergence studies in meshfree peridynamic simulations

Seleson, Pablo; Littlewood, David J.

doi:10.1016/j.camwa.2015.12.021

Title: Convergence studies in meshfree peridynamic simulations

Journal Article · Wed Jun 01 00:00:00 EDT 2016 · Computers and Mathematics with Applications (Oxford)

DOI:https://doi.org/10.1016/j.camwa.2015.12.021· OSTI ID:1631366

Seleson, Pablo; Littlewood, David J.

Meshfree methods are commonly applied to discretize peridynamic models, particularly in numerical simulations of engineering problems. Such methods discretize peridynamic bodies using a set of nodes with characteristic volume, leading to particle-based descriptions of systems. For this study, we performed convergence studies of static peridynamic problems. We demonstrate that commonly used meshfree methods in peridynamics suffer from accuracy and convergence issues, due to a rough approximation of the contribution of nodes near the boundary of the neighborhood of a given node to numerical integrations. We propose two methods to improve meshfree peridynamic simulations. The first method uses accurate computations of volumes of intersections between neighbor cells and the neighborhood of a given node, referred to as partial volumes. The second method employs smooth influence functions with a finite support within peridynamic kernels. Lastly, numerical results demonstrate great improvements in accuracy and convergence of peridynamic numerical solutions when using the proposed methods.

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Research Organization:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: ERKJE45; AC05-00OR22725; AC04-94AL85000

OSTI ID:: 1631366

Alternate ID(s):: OSTI ID: 1259537; OSTI ID: 1311292; OSTI ID: 1351648

Report Number(s):: SAND-2015-8836J; S0898122115005891; PII: S0898122115005891

Journal Information:: Computers and Mathematics with Applications (Oxford), Journal Name: Computers and Mathematics with Applications (Oxford) Vol. 71 Journal Issue: 11; ISSN 0898-1221

Publisher:: ElsevierCopyright Statement

Country of Publication:: United Kingdom

Language:: English

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Cited by: 79 works

Citation information provided by
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