A novel fracture model for composite laminates based on bond-based peridynamics

Abstract

Traditional model for composite laminae based on bond-based peridynamics (BB-PD) involves only two material parameters, which is insufficient to fully describe the complicated engineering properties of composite laminae. This limitation results in constrained Poisson's ratio and shear modulus in the PD model. In this study, a novel fracture model for composite laminae is proposed based on BB-PD, which includes the fiber bond, matrix bond, transverse bond, and tangential stiffness between particles, thereby overcoming the limitations of Poisson's ratio and shear modulus in the traditional BB-PD model. By employing the equivalence of strain energy density, expressions for the four micro-modulus parameters of the model are derived. Additionally, this study proposes a new surface correction method, based on the energy method, to correct surface effects in the model and reduce numerical errors. By stacking laminae, the fracture model is further extended into a 3D one for composite laminates. The energy criterion is then used to derive the critical value of micro elastic strain energy density, which can be utilized to evaluate the damage condition of composite materials. To validate the proposed model, this study simulates relevant experimental cases and analyzes the displacement results and fracture behavior.