An Elastic Micropolar Mixture Theory for Predicting Elastic Properties of Cellular Materials

Abstract

An efficient modeling approach is established to predict the elastic response of cellular materials with distributions of cell geometries. The approach does not require complex and timeconsuming computational techniques usually associated with modeling such materials. Unlike most current analytical techniques, the modeling approach directly accounts for the cellular material microstructure. The approach combines micropolar elasticity theory and elastic mixture theory to predict elastic response of cellular materials to a wide range of loading conditions. The modeling approach is applied to the two-dimensional balsa wood material. Predicted properties are in good agreement with experimentally-determined properties, which emphasizes the model's potential to predict the elastic response of other cellular solids, such as open cell and closed cell foams.

Brittle fracture of three-dimensional lattice structure

“…The macroscopic load is predominantly balanced by tensile and compressive axial stresses within the struts. Previous work [20,21,22] has investigated the inuence of the end conditions of the struts on the elastic properties of the lattice. For some geometries, rigid end conditions lead to a higher lattice modulus, but for other geometries, including the octet-truss geometry studied in this work, the end conditions have little eect.…”