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A mathematically defined 3D auxetic metamaterial with tunable mechanical and conduction properties
Materials & Design ( IF 8.4 ) Pub Date : 2021-01-01 , DOI: 10.1016/j.matdes.2020.109313
Xiaoyang Zheng , Xiaofeng Guo , Ikumu Watanabe

Abstract An auxetic metamaterial is a type of mechanical metamaterial that has a negative Poisson's ratio. Most auxetic metamaterials are truss-based or originate from Boolean operations of simple geometries. Herein, we introduce a new 3D auxetic metamaterial that is mathematically generated from an implicit expression. Further, this metamaterial is fabricated by 3D printing using a flexible material, which allows it to recover from large deformations. The buckling-induced auxetic behavior of the metamaterial was first evaluated via compression tests and finite element analyses. A nickel layer was then plated onto the surface to enhance its stiffness, strength, and conductivity without loss of auxeticity and resilience. The integration of 3D printing and electroless plating enabled accurate control over the mechanical and conduction properties of the auxetic metamaterial; these properties are presented as contour maps for guidance in functional applications. We propose a novel 3D auxetic metamaterial derived from a mathematically defined triply periodic minimal surface. The stiffness, strength, and conductivity of the metamaterial are enhanced by nickel plating without loss of auxeticity and resilience. The effective mechanical and conduction properties were mapped against geometric parameters, including relative density and nickel layer thickness. These data maps provide insight for tuning its performance over a broad range.

中文翻译:

一种数学定义的 3D 拉胀超材料,具有可调的机械和传导特性

摘要 拉胀超材料是一种具有负泊松比的机械超材料。大多数拉胀超材料是基于桁架的或源自简单几何的布尔运算。在这里,我们介绍了一种新的 3D 拉胀超材料,它是从隐式表达式数学生成的。此外,这种超材料是使用柔性材料通过 3D 打印制造的,这使其能够从大变形中恢复。超材料的屈曲诱导拉胀行为首先通过压缩测试和有限元分析进行评估。然后将镍层镀到表面上以增强其刚度、强度和导电性,而不会损失拉胀性和弹性。3D 打印和化学镀的集成能够准确控制拉胀超材料的机械和传导特性;这些特性以等高线图的形式呈现,用于指导功能应用。我们提出了一种新颖的 3D 拉胀超材料,该材料源自数学定义的三重周期性最小表面。镀镍增强了超材料的刚度、强度和导电性,而不会损失拉胀性和弹性。根据几何参数(包括相对密度和镍层厚度)绘制了有效的机械和传导特性。这些数据图提供了在广泛范围内调整其性能的洞察力。我们提出了一种新颖的 3D 拉胀超材料,该材料源自数学定义的三重周期性最小表面。镀镍增强了超材料的刚度、强度和导电性,而不会损失拉胀性和弹性。根据几何参数(包括相对密度和镍层厚度)绘制了有效的机械和传导特性。这些数据图提供了在广泛范围内调整其性能的洞察力。我们提出了一种新颖的 3D 拉胀超材料,该材料源自数学定义的三重周期性最小表面。镀镍增强了超材料的刚度、强度和导电性,而不会损失拉胀性和弹性。根据几何参数(包括相对密度和镍层厚度)绘制了有效的机械和传导特性。这些数据图提供了在广泛范围内调整其性能的洞察力。
更新日期:2021-01-01
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