A Review of Peridynamics (PD) Theory of Diffusion Based Problems
The study of heat conduction phenomena using peridynamic (PD) theory has a paramount significance on the development of computational heat transfer. This is because PD theory has got an interesting feature to deal with the inherent nonlocal nature of heat transfer processes. Since the revolutionary...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Engineering |
| Online Access: | http://dx.doi.org/10.1155/2021/7782326 |
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| _version_ | 1832546257910890496 |
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| author | Migbar Assefa Zeleke Mesfin Belayneh Ageze |
| author_facet | Migbar Assefa Zeleke Mesfin Belayneh Ageze |
| author_sort | Migbar Assefa Zeleke |
| collection | DOAJ |
| description | The study of heat conduction phenomena using peridynamic (PD) theory has a paramount significance on the development of computational heat transfer. This is because PD theory has got an interesting feature to deal with the inherent nonlocal nature of heat transfer processes. Since the revolutionary work on PD theory by Silling (2000), extensive investigations have been devoted to PD theory. This paper provides a survey on the recent developments of PD theory mainly focusing on diffusion based peridynamic (PD) formulation. Both the bond-based and state-based PD formulations are revisited, and numerical examples of two-dimensional problems are presented. |
| format | Article |
| id | doaj-art-427211e661ac480e9d3dbb19228fd2a4 |
| institution | Kabale University |
| issn | 2314-4904 2314-4912 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Engineering |
| spelling | doaj-art-427211e661ac480e9d3dbb19228fd2a42025-02-03T07:23:28ZengWileyJournal of Engineering2314-49042314-49122021-01-01202110.1155/2021/77823267782326A Review of Peridynamics (PD) Theory of Diffusion Based ProblemsMigbar Assefa Zeleke0Mesfin Belayneh Ageze1Department of Mechanical Engineering, Institute of Technology, Hawassa University, Hawassa, EthiopiaCenter of Renewable Energy, Addis Ababa Institute of Technology, Addis Ababa University, Addis Ababa, EthiopiaThe study of heat conduction phenomena using peridynamic (PD) theory has a paramount significance on the development of computational heat transfer. This is because PD theory has got an interesting feature to deal with the inherent nonlocal nature of heat transfer processes. Since the revolutionary work on PD theory by Silling (2000), extensive investigations have been devoted to PD theory. This paper provides a survey on the recent developments of PD theory mainly focusing on diffusion based peridynamic (PD) formulation. Both the bond-based and state-based PD formulations are revisited, and numerical examples of two-dimensional problems are presented.http://dx.doi.org/10.1155/2021/7782326 |
| spellingShingle | Migbar Assefa Zeleke Mesfin Belayneh Ageze A Review of Peridynamics (PD) Theory of Diffusion Based Problems Journal of Engineering |
| title | A Review of Peridynamics (PD) Theory of Diffusion Based Problems |
| title_full | A Review of Peridynamics (PD) Theory of Diffusion Based Problems |
| title_fullStr | A Review of Peridynamics (PD) Theory of Diffusion Based Problems |
| title_full_unstemmed | A Review of Peridynamics (PD) Theory of Diffusion Based Problems |
| title_short | A Review of Peridynamics (PD) Theory of Diffusion Based Problems |
| title_sort | review of peridynamics pd theory of diffusion based problems |
| url | http://dx.doi.org/10.1155/2021/7782326 |
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