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

Prakash, Naveen

doi:10.1007/s42102-018-0002-z

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

Journal Article · 24 October 2018 · Journal of Peridynamics and Nonlocal Modeling

DOI: https://doi.org/10.1007/s42102-018-0002-z · OSTI ID:1489956

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Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

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.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1489956

Report Number(s):: LA-UR-18-23644

Journal Information:: Journal of Peridynamics and Nonlocal Modeling, Journal Name: Journal of Peridynamics and Nonlocal Modeling Journal Issue: 1 Vol. 1; ISSN 2522-896X

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICS AND COMPUTING
Micromoduli
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Title: Calibrating Bond-Based Peridynamic Parameters Using a Novel Least Squares Approach

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