3D homogenization: identification of equivalent anisotropic material properties of heterogeneous structures and dynamic applications on preloaded finite element models and superelements

摘要

Although several mature approaches and theories exist for the analysis of 2D-heterogeneous finite element models, few have been developed for computing equivalent models to 3D-heterogeneous structures. Yet, the cases of equivalent modelling of anisotropic or preconstrained structures are hardly ever discussed in the literature. In this paper, a novel method of equivalent material identification is proposed for finite element anisotropic structures and for models subjected to preloads, with high computation speed and low resource requirements. The proposed approach is applied to superelements and enables converting a stiffness matrix into the equivalent material's elasticity matrix. Applied to preloaded homogeneous and heterogeneous finite element structures, the method leads to equivalent models. Compared at low frequencies, the dynamic behaviour of each of the preloaded structures and its corresponding equivalent are in good accordance.