基于胞元拓扑优化法的内凹六边形负泊松比超材料结构设计  

Design of Concave Hexagonal Auxetic Metamaterial Using Cell Topology Optimization Approach

作　　者：康小方 柳景超 夏光辉 许庆虎 KANG Xiaofang;LIU Jingchao;XIA Guanghui;XU Qinghu(College of Civil Engineering,Anhui Jianzhu University,Hefei 230601,China;Key Laboratory of Intelligent Underground Detection Technology,Hefei 230601,China;BIM Engineering Center of Anhui Province,Hefei 230601,China;Prefabricated Building Research Institute of Anhui Province,Hefiei 230601,China)

机构地区：[1]安徽建筑大学土木工程学院,安徽合肥230601 [2]智能地下探测技术重点实验室,安徽合肥230601 [3]安徽省BIM工程中心,安徽合肥230601 [4]安徽省装配式建筑研究院,安徽合肥230601

出　　处：《安徽建筑大学学报》2022年第1期21-26,45,共7页Journal of Anhui Jianzhu University

基　　金：安徽省自然科学基金资助项目(2008085QE245);安徽省高校自然科学研究重点项目(KJ2019A0747、KJ2020A0490);安徽建筑大学引进人才及博士启动基金项目(2020QDZ07、2020QDZ38);安徽省住房城乡建设科学技术计划项目(2019YF-029、2020-YF20、2021-YF22)。

摘　　要：基于拓扑优化的方法,提出了一种内凹六边形负泊松比超材料的结构胞元拓扑优化方法。针对胞元的不同内凹角的拓扑基结构,以指定的材料底边长与肋部长作为约束条件,把结构胞元泊松比最大化作为目标函数,建立了不同内凹角内凹六边形负泊松比超材料的拓扑优化模型并进行计算。提取拓扑优化得到的结构胞元构型,经过一定的周期排列最终得到负泊松比结构。建立超材料结构的宏观模型,验算了结构胞元的负泊松比并和理论值相比较,计算分析内凹六边形负泊松比超材料的力学行为。结果表明,内凹六边形负泊松比超材料内凹角越大其负泊松比效应越明显。与传统多孔材料结构相比,设计的超材料结构具有更好的承载能力。A cell topology optimization approach for concave hexagonal auxetic metamaterial is proposed.Based on the ground structure of the cell with different concave angles,the material bottom length and rib length are taken as constraints.Taking the maximization of Poisson’s ratio as the objective function,a topological optimization model of concave hexagonal auxetic metamaterial with different concave angles and concave hexagon is established and calculated.The auxetic structure is obtained through the periodic arrangement of cell structure by topology optimization.The macro model of metamaterial structure is established,and the negative Poisson’s ratio of structural cell is checked and compared with the theoretical value,and the mechanical behavior of concave hexagon auxetic metamaterial is calculated.The results show that for the concave hexagon auxetic metamaterial,the larger the concave angle is,the stronger the negative Poisson’s ratio effect is.Compared with classic porous material structure,the design has higher bearing capacity.

关 键 词：拓扑优化 负泊松比 内凹六边形 胞元 

分 类 号：TB330[一般工业技术—材料科学与工程]