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A mesoscopic, geometrically and physically nonlinear finite element model based on solid-like shell elements is presented for the simulation of impact damage in laminated composite structures. To model matrix cracking, a discontinuous solid-like shell element (DSLS) is utilized. A partition of unity approach is exploited to incorporate the discontinuity in the shell mid-surface, shell director and internal stretching field. This enables the element to model arbitrary propagating cracks through a finite element mesh. The element has only displacement degrees of freedom, thus avoid the need for a complicated update of rotation degrees of freedom in nonlinear applications. The model is also able to predict the buck- ling response of laminated composites. To model delamination phenomena, a shell interface model is developed. The model allows computationally efficient simulation of delamination and evaluation of the consistently linearized tangent stiffness matrix for large deformation problems, which is essential for convergence. To model the coupled response of matrix crack- ing and delamination under large deformations, a computational framework is developed. The combined modeling of matrix cracking and delamination is achieved without incorporat- ing of additional degrees of freedom. A numerical example is presented to simulate failure resulting in matrix cracking and delamination in laminated composite shell structures.

A FINITE ELEMENT PROCEDURE FOR MODELING PROGRESSIVE DAMAGE IN LAMINATED COMPOSITE SHELL STRUCTURES