An equivalent model for trapezoidal corrugated cores based on homogenization method

In this paper, an analytical equivalent model for the mechanical properties of the trapezoidal corrugated core is presented. A complete set of analytical formulations is derived based on energy approach for elastic modulus in different directions, transverse and in-plane shear modulus, in-plane Poisson’s ratio and mass density of the equivalent model. The proposed approach is general and is able to model different corrugation geometry. To validate the precision and accuracy of the derived formulations, the obtained results are compared with the literature and the finite element simulations. A set of tensile and three-point bending tests are also carried out to further evaluate the derived equations. The results indicate that the analytical relations are accurate for a wide range of geometrical parameters.