A multi-state progressive cohesive law for the prediction of unstable propagation and arrest of Mode-I delamination cracks in composite laminates

Abstract

In this paper, a finite element simulation study was performed on the dynamic crack propagation and arrest in double cantilever beam (DCB) specimens with interleaves. The expressions of crack initiation toughness, propagation toughness, arrest toughness, and kinetic energy during unstable crack propagation were theoretically derived based on the energy balance principle. The dynamic fracture toughness parameters were calibrated based on the DCB test results. For the simulations, a multi-state progressive cohesive law (MP-CL) suitable for quasi-static analysis was proposed, and the MP-CL parameters were introduced into the finite element model using the USDFLD subroutine in the ABAQUS software. The unstable crack stick–slip propagation behavior of the DCB specimens was successfully simulated, revealing the complex mechanical characteristics, such as the load–displacement response, kinetic and fracture energy, and crack propagation velocity, during unstable crack propagation. The simulation results were quite consistent with the experimental results, validating the correctness and effectiveness of the proposed model.