Ordinary state-based peridynamic model for geometrically nonlinear analysis

Cong Tien Nguyen, Selda Oterkus

Research output: Contribution to journalArticlepeer-review

27 Citations (Scopus)
114 Downloads (Pure)


This study presents a novel ordinary state-based peridynamic model for geometrically nonlinear analysis. A new definition of logarithmic bond stretch for large deformations has been proposed. The peridynamic formulations for one-dimensional, two-dimensional and three-dimensional structures are obtained based on the principle of virtual displacements by using Total Lagrange formulation. The capability of the developed peridynamic model is demonstrated by predicting large deformations for a bar, a plate, and a three-dimensional structure. To further demonstrate the capabilities of the proposed model, damage on a plate and a three-dimensional structure are simulated.
Original languageEnglish
Article number106750
Number of pages46
JournalEngineering Fracture Mechanics
Early online date20 Nov 2019
Publication statusPublished - 1 Feb 2020


  • peridynamics
  • nonlinear analysis
  • large deformations
  • Total Lagrange
  • damage


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