Composite aircraft structures have been thoroughly investigated with regard to various loading combinations, which are capable of inducing different failure modes. The failure modes, particularly the fracture energies associated with modes I and II, are influenced by geometric and material variations, contributing to both epistemic and intrinsic uncertainties. The present work introduces a numerical-experimental methodology to simulate the Mixed Mode Bending (MMB) test conducted on specimens manufactured with carbon fibre and epoxy resin adherents and a ductile-based epoxy adhesive. The methodology employs a two-dimensional finite element model developed in Abaqus® software aided by a Python® routine. The Design of Experiments (DoE) technique, based on the Plackett-Burman Design (PBD) method, is applied to reduce the number of simulations needed. To assess the impact of mechanical and geometric variables on fracture strength responses in various mixed-mode ratios, the Compliance-Based Beam Method (CBBM) adapted for the MMB test is used, following the ASTM D6671 standard. The numerical model uses 4-node cohesive elements (COH2D4) for the adhesive layer and 4-node plane strain elements (CPE4R) for the composite adherents, with the loading system modelled through two-node linear rigid links (R2D2). A triangular traction-separation law (TSL) is adopted to simulate adhesive behaviour, allowing validation against experimental results from the literature. The methodology, considering the investigated materials, was applied to mixed-mode ratios of 25%, 50%, 60%, and 75%, and results showed that at 25%, the influence of mode I fracture energy (
Research article
Parametric study of bonded composite joints under mixed-mode
Abstract