A review of peridynamic theory and nonlocal operators along with their computer implementations

DÖRDÜNCÜ M., Ren H., Zhuang X., Silling S., Madenci E., Rabczuk T.

Computers and Structures, cilt.299, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Derleme
  • Cilt numarası: 299
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1016/j.compstruc.2024.107395
  • Dergi Adı: Computers and Structures
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Failure analyses, Nonlocal operator method, Numerical analyses, Peridynamic differential operator, Peridynamics
  • Erciyes Üniversitesi Adresli: Evet

Özet

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.