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Abstract
Peridynamics is based on integro-differential equations and has a length scale parameter called horizon which gives peridynamics a non-local character. Currently, there are three main peridynamic formulations available in the literature including bond-based peridynamics, ordinary state-based peridynamics and non-ordinary state-based peridynamics. In this study, the optimum horizon size is determined for ordinary state-based peridynamics and non-ordinary state-based peridynamics formulations by using uniform and non-uniform discretisation under dynamic and static conditions. It is shown that the horizon sizes selected as optimum sizes for uniform discretisation can also be used for non-uniform discretisation without introducing significant error to the system. Moreover, a smaller horizon size can be selected for non-ordinary state-based formulation which can yield significant computational advantage. It is also shown that same horizon size can be used for both static and dynamic problems.
Original language | English |
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Pages (from-to) | 705-728 |
Number of pages | 24 |
Journal | Continuum Mechanics and Thermodynamics |
Volume | 35 |
Issue number | 3 |
Early online date | 16 Jun 2020 |
DOIs | |
Publication status | Published - 31 May 2023 |
Keywords
- peridynamics
- horizon
- ordinary state based peridynamics
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Dive into the research topics of 'Determination of horizon size in state-based peridynamics'. Together they form a unique fingerprint.Projects
- 1 Finished
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Determination of the Length Scale Parameter in Peridynamics
Oterkus, E. (Principal Investigator) & Oterkus, S. (Co-investigator)
Air Force Office of Scientific Research AFOSR (the)
20/08/18 → 19/08/21
Project: Research