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

delete2016-07-01
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Payton Lindsay
M
Michael L. Parks
A
Arun J. Prakash *
DOI:10.1016/j.cma.2016.03.049delete
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Abstract

Abstract

En 中文
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. (C) 2016 Elsevier B.V. All rights reserved.
Keywords:
Peridynamics
Multi-Time-Step
Nonlocal
Fracture
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Journal

Computer Methods in Applied Mechanics and Engineering cover
Computer Methods in Applied Mechanics and Engineering
IF:
7.3
Papers:
1.3W
Citations:
5.6W

Organization

Purdue University System cover
Purdue University System
Scholars:
3.9W
Papers: 3.6W
Citations: 66
P
Purdue University
Scholars:
2.7W
Papers: 2.1W
Citations: 147