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

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

doi:10.1016/j.cma.2016.03.049

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

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

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

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. 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.

Original language	English
Pages (from-to)	382-405
Number of pages	24
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	306
DOIs	https://doi.org/10.1016/j.cma.2016.03.049
State	Published - Jul 1 2016
Externally published	Yes

Funding

This material is based upon work supported by the US Department of Energy Office of Science, Office of Advanced Scientific Computing Research, Computer Science program , contract DE-FC02-12ER26104 . This material is based upon work supported by the US Department of Energy Office of Science, Office of Advanced Scientific Computing Research , Computer Science program under contract DE-FC02-12ER26104 . The authors also thank the anonymous reviewers for their insightful comments that have helped improve the manuscript.

Funders	Funder number
U.S. Department of Energy
Advanced Scientific Computing Research	DE-FC02-12ER26104

Keywords

Fracture
Multi-Time-Step
Nonlocal
Peridynamics

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10.1016/j.cma.2016.03.049

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abstract = "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. 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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AB - 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. 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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Enabling fast, stable and accurate peridynamic computations using multi-time-step integration

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Keywords

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