Enabling fast, stable and accurate peridynamic computations using multi-time-step integration

Lindsay, P.; Parks, M. L.; Prakash, A.

doi:10.1016/j.cma.2016.03.049

Title: Enabling fast, stable and accurate peridynamic computations using multi-time-step integration

Journal Article · Wed Apr 13 00:00:00 EDT 2016 · Computer Methods in Applied Mechanics and Engineering

DOI:https://doi.org/10.1016/j.cma.2016.03.049· OSTI ID:1263548

Lindsay, P. ^[1]; Parks, M. L. ^[2];

^[1]

Lyles School of Civil Engineering, West Lafayette, IN (United States)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Peridynamics is a nonlocal extension of classical continuum mechanics that is well-suited for solving problems with discontinuities such as cracks. This paper extends the peridynamic formulation to decompose a problem domain into a number of smaller overlapping subdomains and to enable the use of different time steps in different subdomains. This approach allows regions of interest to be isolated and solved at a small time step for increased accuracy while the rest of the problem domain can be solved at a larger time step for greater computational efficiency. Lastly, performance of the proposed method in terms of stability, accuracy, and computational cost is examined and several numerical examples are presented to corroborate the findings.

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Research Organization:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)

Grant/Contract Number:: AC04-94AL85000; FC02-12ER26104; SC0008629

OSTI ID:: 1263548

Alternate ID(s):: OSTI ID: 1365589

Report Number(s):: SAND-2015-8053J; PII: S0045782516301360

Journal Information:: Computer Methods in Applied Mechanics and Engineering, Vol. 306, Issue C; ISSN 0045-7825

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 16 works

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Title: Enabling fast, stable and accurate peridynamic computations using multi-time-step integration

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