Details
| Original language | English |
|---|---|
| Article number | 107395 |
| Number of pages | 39 |
| Journal | Computers and Structures |
| Volume | 299 |
| Early online date | 10 May 2024 |
| Publication status | Published - 1 Aug 2024 |
Abstract
This study presents a comprehensive exploration of Peridynamic (PD) theory, with a specific focus on its theoretical foundations and practical implementations, including various PD formulations and PD operators. The objective is to highlight the unique attributes of each PD formulation and assess their suitability in the framework of material failure simulations by providing an extensive literature review. The research focuses on the bond-based (BB), ordinary state-based (OSB), and non-ordinary state-based (NOSB) PD formulations, offering a thorough understanding of their distinctive characteristics. Moreover, this study presents the importance of the PD operators on the solution of the differential equations. Numerical implementation is a central aspect of this research, providing a detailed flow chart of the computer codes for PD and PD operator models. In order to demonstrate the robustness of the PD formulations, this study presents numerical results, showcasing predictions generated by computer codes that can be accessed online.
Keywords
- Failure analyses, Nonlocal operator method, Numerical analyses, Peridynamic differential operator, Peridynamics
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Mathematics(all)
- Modelling and Simulation
- Materials Science(all)
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computer Science Applications
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In: Computers and Structures, Vol. 299, 107395, 01.08.2024.
Research output: Contribution to journal › Review article › Research › peer review
}
TY - JOUR
T1 - A review of peridynamic theory and nonlocal operators along with their computer implementations
AU - Dorduncu, Mehmet
AU - Ren, Huilong
AU - Zhuang, Xiaoying
AU - Silling, Stewart
AU - Madenci, Erdogan
AU - Rabczuk, Timon
N1 - Publisher Copyright: © 2024 The Author(s)
PY - 2024/8/1
Y1 - 2024/8/1
N2 - This study presents a comprehensive exploration of Peridynamic (PD) theory, with a specific focus on its theoretical foundations and practical implementations, including various PD formulations and PD operators. The objective is to highlight the unique attributes of each PD formulation and assess their suitability in the framework of material failure simulations by providing an extensive literature review. The research focuses on the bond-based (BB), ordinary state-based (OSB), and non-ordinary state-based (NOSB) PD formulations, offering a thorough understanding of their distinctive characteristics. Moreover, this study presents the importance of the PD operators on the solution of the differential equations. Numerical implementation is a central aspect of this research, providing a detailed flow chart of the computer codes for PD and PD operator models. In order to demonstrate the robustness of the PD formulations, this study presents numerical results, showcasing predictions generated by computer codes that can be accessed online.
AB - This study presents a comprehensive exploration of Peridynamic (PD) theory, with a specific focus on its theoretical foundations and practical implementations, including various PD formulations and PD operators. The objective is to highlight the unique attributes of each PD formulation and assess their suitability in the framework of material failure simulations by providing an extensive literature review. The research focuses on the bond-based (BB), ordinary state-based (OSB), and non-ordinary state-based (NOSB) PD formulations, offering a thorough understanding of their distinctive characteristics. Moreover, this study presents the importance of the PD operators on the solution of the differential equations. Numerical implementation is a central aspect of this research, providing a detailed flow chart of the computer codes for PD and PD operator models. In order to demonstrate the robustness of the PD formulations, this study presents numerical results, showcasing predictions generated by computer codes that can be accessed online.
KW - Failure analyses
KW - Nonlocal operator method
KW - Numerical analyses
KW - Peridynamic differential operator
KW - Peridynamics
UR - http://www.scopus.com/inward/record.url?scp=85192672118&partnerID=8YFLogxK
U2 - 10.1016/j.compstruc.2024.107395
DO - 10.1016/j.compstruc.2024.107395
M3 - Review article
AN - SCOPUS:85192672118
VL - 299
JO - Computers and Structures
JF - Computers and Structures
SN - 0045-7949
M1 - 107395
ER -