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Asymptotically Compatible Schemes for Peridynamics Based on Numerical Quadratures

[+] Author Affiliations
Qiang Du

Columbia University, New York, NYPennsylvania State University, University Park, PA

Xiaochuan Tian

Pennsylvania State University, University Park, PA

Paper No. IMECE2014-39620, pp. V001T01A058; 6 pages
doi:10.1115/IMECE2014-39620
From:
  • ASME 2014 International Mechanical Engineering Congress and Exposition
  • Volume 1: Advances in Aerospace Technology
  • Montreal, Quebec, Canada, November 14–20, 2014
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4642-1
  • Copyright © 2014 by ASME

abstract

We present some studies of numerical schemes for nonlocal peridynamic and nonlocal diffusion models. We describe asymptotically compatible (AC) schemes recently developed for robust discretizations of nonlocal models. The AC schemes for peridynamic models provide convergent approximations to nonlocal models associated with fixed horizon parameter as well as their limiting local models. We illustrate what quadrature based discretizations can be AC schemes and what may fail to be AC.

Copyright © 2014 by ASME

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