Topological Design of Negative Poisson’s Ratio Material Microstructure Under Large Deformation with a Gradient-Free Method

• DOI: 10.32604/icces.2023.09893
• Publication Date: 2023-08-29T21:31:37Z
• Authors: Pai Liu; Weida Wu; Yangjun Luo; Yifan Zhang
• Keywords: Topology optimization

Lightweight metamaterials with negative Poisson’s ratios (NPRs) have great potential for controlling deformation, absorbing energy, etc. The topology optimization [1] technique is an effective way to design metamaterials. However, as studied in [2], the NPR metamaterial configuration obtained under small deformation assumption may not maintain desired ratio relatively large conditions. This paper focuses on large-deformation based a gradient-free method, i.e. material-field series expansion (MFSE) method [3]. metamaterial’s performance evaluated using finite element taking into account geometry nonlinearity. By considering spatial correlation of microstructural topology, MFSE significantly reduces number variables. An formulation adopted minimize error between and current performances, advantage topological parameterization. A two-step solution strategy Kriging surrogate model suggested. Several target NPRs problems are considered numerical examples optimized performances checked conformal mesh commercial software. calculation results show that this can generate required well does require non-trivial sensitivity derivation scenario, provides alternative nonlinearities engineers.