Analysis of wave-induced crack propagation through a coupling algorithm of the peridynamics and isogeometric analysis

Abstract

Wave propagation analysis is important in the fields of defect detection, explosion protection, etc. Numerical methods derived from classical continuum mechanics (CCM) are widely applied in the analysis of wave propagation, but these methods cannot predict the cracks induced by wave propagation. Peridynamics (PD) theory is a nonlocal framework, which applies integral equations and remains valid in the presence of discontinuities such as cracks, so it can simulate fracture and damage. In this study, we develop a coupling model of isogeometric analysis (IGA) and bond-based PD theory to study the cracks induced by wave propagation in linear elastic solids. First, the wave propagation process based on bond-based PD theory is investigated to explore the wave dispersion phenomenon due to the spatial discretization of PD. Second, one-dimensional (1D) and two-dimensional (2D) IGA-PD numerical examples are tested to explore wave propagation in 1D and 2D structures, respectively. Third, the wave-induced fracture of the material and the law of crack propagation are investigated. Compared to the traditional CCM method and the pure PD method, the advantage of the proposed IGA-PD model is that it can simulate the material damage and crack propagation caused by wave propagation and improve the computational efficiency. The results show that the proposed coupling method can be successfully applied to simulate wave propagation and the damage and crack propagation it induces.