Modelling transverse matrix cracking and splitting of cross-ply composite laminates under four point bending

• This paper focuses on developing a model for the transverse matrix cracking and splitting in a cross-ply composite laminate with the commercial code Abaqus.
• The equivalent constraint model developed by Soutis et al. has been used for the prediction of matrix cracking and results are compared to those obtained experimentally and numerically.
• A stress-based traction–separation law has been used to simulate the initiation of matrix cracks and their growth under mixed-mode loading.
• Cohesive elements have been inserted between the interfaces of every neighbouring element along the fibre orientation for all 0° and 90° plies to predict matrix cracking and splitting.
• Good agreement is obtained between experimental and numerical crack density profiles for different 90° plies. Splitting was also simulated in the bottom 0° ply by the numerical model.

The transverse matrix cracking and splitting in a cross-ply composite laminate has been modelled using the finite element (FE) method with the commercial code Abaqus/Explicit 6.10. The equivalent constraint model (ECM) developed by Soutis et al. has been used for the theoretical prediction of matrix cracking and results have been compared to those obtained experimentally and numerically. A stress-based traction–separation law has been used to simulate the initiation of matrix cracks and their growth under mixed-mode loading. Cohesive elements have been inserted between the interfaces of every neighbouring element along the fibre orientation for all 0° and 90° plies to predict the matrix cracking and splitting at predetermined crack spacing based on experimental observations. Good agreement is obtained between experimental and numerical crack density profiles for different 90° plies. In addition, different mechanisms of matrix cracking and growth processes were captured and splitting was also simulated in the bottom 0° ply by the numerical model.