Effect of 3D printing geometrical monocline on behaviors of curved Timoshenko beams based on isogeometric analyses

Abstract

It has been demonstrated that quite a few 3D printable materials are geometrically monoclinic. In this paper, the two-scale stochastic isogeometric analyses of 3D printed curved beams are carried out to investigate effect of geometrical monocline on global behavior of a curved Timoshenko beam. The two-scale isogeometric variational principle, basis functions, and corresponding governing equations are investigated. A comparison of monoclinic, orthotropic, and isotropic structures under specific loading is made using the proposed method as well as scale model experiments. Results demonstrate that the anisotropic material feature considerably affects global behavior of 3D printing beam. Uncertainty of material property is quantified through Monte Carlo simulations for several representative 3D printed structures under distributed loading. It is indicated that porosity might be the main cause of the material anisotropic property of representative volume element (RVE).