Modeling of Cracking Damage Evolution in FRP Crossply Laminates under Bending
Akihiro Wada, Shinya Motogi
Abstract:An analytical model for FRP crossply laminates subjected to a bending load is developed in the framework of continuum damage mechanics. Constitutive equations for a cracked ply are firstly formulated under an assumption of equivalence between a cracked ply and a work-softening material. After dividing a laminated beam into small beam elements, the derived constitutive equations for a cracked ply are introduced into the lamination theory to predict the damage evolution in the laminated beam with a cracked ply. Each beam element is analyzed independently to compute the stress state and curvature of the element, and they are reconnected with each other to predict the deflection of the overall laminate beam. Two kinds of crossply laminate beams having different cracked ply thickness were tested in bending, and corresponding theoretical predictions were made. The prediction for crack distribution as well as load-displacement relations were in good agreement with the experimental results for each laminate. Key Words:Damage mechanics, Composite material, Matrix cracking, Laminate theory, Work softening, Bending