Computationally Efficient Fracture Modeling Using a Hybrid Peridynamic Formulation
Abstract. The accurate prediction of failure in structural components is a crucial requirement in modern aerospace applications, particularly with the rise of reusable launch systems. Traditional finite element methods, based on Classical Continuum Mechanics, are limited when it comes to modelling discontinuities such as cracks. Peridynamics (PD) theory overcomes these limitations by using integral equations which allow describing a natural and autonomous damage evolution. However, PD suffers from high computational costs, particularly when solved using the commonly adopted mesh-free method with one-point Gaussian quadrature. The Fast Convolution Based Method (FCBM) exploits the convolutional structure of PD equations and the Fast Fourier Transform to critically reduce the computational time. However, it can compromise accuracy in the simulation of crack propagation, due to the damage model adopted. This work presents a novel Hybrid PD method (developed for both the Bond-Based and Ordinary State-Based formulations) that combines the accuracy of PD mesh-free formulation with the efficiency of FCBM, achieving a significant reduction in computational time.