Evaluation of Optimized Topology Design of Cross-Formed Structures with a Negative Poisson’s Ratio

Abstract

This study presents an application of the material topology optimization approach using Gauss point density as a design variable in order to mechanically investigate and then design material possessing structures constructed by materials with a negative Poisson’s ratio. Materials with a positive Poisson’s ratio are commonly utilized for structures. However, the materials are more fragile than those of negative Poisson’s ratio with respect to impact resistance or tolerance. The topological optimal results provide basic and mechanical information to develop the materials with a negative Poisson’s ratio. Numerical examples of cross-formed structures such as beam-to-column connections demonstrate the efficiency of topology optimization tool in order to analyze materials with positive and negative Poisson’s ratios.