Lenticular composite rib structures have high potential and are being increasingly used in deployable structures for space applications due to their light weight and exceptional mechanical behaviour. This thesis investigates the dynamics and deformation of a lenticular rib made with carbon fibre reinforced laminates and bonded with an adhesive under typical loading conditions, namely flattening, folding and release. Simulation of flattening and three-point bending of the lenticular rib was performed using non-linear Abaqus/explicit software. A detailed description of the variables that control the stability of numerical simulation and boundary conditions involved are presented in this thesis. The stability of results is verified using energy balance evaluation. The dynamics of lenticular rib in flattening and three-point bending simulations were studied using their force vs displacement plots. The results indicate that the source of ribs bending stiffness is its lenticular cross-section and flattening of the rib takes place in two phases.