Ordinary state-based peridynamic model for geometrically nonlinear analysis

Abstract 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.

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