Analysis and simulation for the double corrugated cardboard plates under bending and in-plane shear force by homogenization method

Abstract—In this paper, an analytic homogenization model under bending and in-plane shear force for the double corrugated cardboard plates is presented. The proposed model allows us to replace the 3D double corrugated cardboard by a 2D homogenized plate, which reduces a lot of time to calculate as well as time to build the geometry. Based on the theory of stratification and then improved by using the theory of sandwich, we calculated the rigidities of corrugated cardboard plate and then implemented into a 4-node shell element called S4R in Abaqus for an equivalent orthotropic plate. The results obtained by the present model are compared to those given by 3D shell simulations. The comparison shows the efficiency and accuracy of our homogenization model. The homogenization model can be used not only for corrugated cardboard plates, but also for industrial composite structures.