Speaker
Description
Peridynamics is a nonlocal continuum mechanics formulation widely used for modeling fracture phenomena. The standard peridynamic models, introduced by Silling in 2000, are particularly effective in modeling damage and fracture under large deformations. However, these models have significant discretization errors in elastic modeling due to nonlocality and surface effects, especially in thin structures. The correspondence formulation mitigates these limitations, utilizing an approximated deformation gradient to calculate stress forces. Although this reformulation improves the accuracy of elastic modeling, it introduces instability through zero-energy modes. These problems combined make it hard to model dynamic fracture with large deformations in thin structures.
This study presents a comprehensive review of bond-associated peridynamic formulations as a promising solution to these challenges. Various approaches within bond-associated modeling are compared, focusing on computational efficiency and other factors regarding the discretization. The analysis confirms that bond-associated models effectively capture the correct fragmentation process in thin structures. Explanatory examples of dynamic fracture in thin structures are provided, showcasing the capabilities and practical relevance of these models.
