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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Bibliographic Details
Main Authors: Migbar Assefa Zeleke, Mesfin Belayneh Ageze
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Engineering
Online Access:http://dx.doi.org/10.1155/2021/7782326
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Summary: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.
ISSN:2314-4904
2314-4912