Analyzing the Saint Venant End Effects in Cellular Lattice Structures
摘要
Lattice structures find applications in many structural areas where the weight to strength ratio needs to be minimum, for example: in space and aerospace applications. With the proper choice of lattice and selection of their geometric features functionally graded structures are designed. Lattice structures are non-homogeneous periodic structures at macroscopic level and the distribution of load, stress and strain will not be as uniform as in a continuous and homogeneous solid metal structures and components. For example, a plate made of lattice structure with face sheets will exhibit a different distribution of the stress and strain compared to a solid plate. This poses a different challenge and opportunity to study and understand the end effects of structural components made with lattice structures. In this article Saint Venant’s end effect of a lattice plate is analyzed using finite element analysis. End effects of a solid plate are analyzed and considered as base line. The end effect of a plate made with simple lattice structures like square, triangular and honeycomb are analyzed and its relationship with volume fraction of the lattice is studied.