Implementação da teoria peridinâmica no ANSYS LS-DYNA para a análise da fratura de materiais

Abstract

This work explores fracture mechanics, a crucial area of material mechanics dedicated to analyzing crack propagation in solid materials. After reviewing the fundamentals of traditional fracture mechanics, including the concepts of surface energy and stress intensity factors by Griffith and Irwin, the study advances to the integration of modern numerical methods. Among these, peridynamics (PD) stands out as an innovative theory based on nonlocal interactions, which models the formation and propagation of cracks more accurately. In parallel, the finite element method (FEM), widely tested, is ideal for analysis in continuous regions of the material. This work focuses on verifying the implementation of peridynamics within the ANSYS LS- DYNA finite element software for future hybridization, i.e., combining PD and FEM models. The methodology details the steps for implementing peridynamics in ANSYS LS-DYNA, called PD-DYNA, addressing the definition of material properties, calculation of peridynamic parameters, generation of nodes and bonds, and application of boundary conditions. Tests conducted on two-dimensional models demonstrated that PD-DYNA is effective in predicting fracture patterns, replicating results from the literature accurately. The results highlight the computational efficiency and applicability of the method in structural analyses. The work emphasizes the potential of integrating PD and LS-DYNA as an advanced tool for fracture analysis in material engineering, pointing to promising paths for applications in new materials, varied loading conditions, and three-dimensional problems.