论文标题
添加剂制造通过渐近均匀化引入了超材料参数的子结构和计算确定
Additive manufacturing introduced substructure and computational determination of metamaterials parameters by means of the asymptotic homogenization
论文作者
论文摘要
超材料表现出材料响应偏离常规弹性。这种现象是由广义弹性捕获的，这是由于引入其他参数而牺牲了理论的结果。这些参数链接到内部长度尺度。在宏观级别上描述具有微观长度尺度下具有子结构的材料，要求引入其他本构参数。因此，原则上，可以确定这些参数的准确知识是可行的，可以确定这些参数。尤其是在填充比下已知的添加剂制造中，拓扑优化引入了一个子结构，从而导致机械响应中的高阶项。因此，减轻重量会产生具有准确已知的子结构的超材料。本文中，我们使用两个量表来制定计算方案，用于数值识别超材料参数。作为一个具体示例，我们将其应用于蜂窝子结构并讨论填充比。这种计算方法适用于广泛的类子结构，并利用开源代码；我们将其公开用于透明的科学交流。
Metamaterials exhibit materials response deviation from conventional elasticity. This phenomenon is captured by the generalized elasticity as a result of extending the theory at the expense of introducing additional parameters. These parameters are linked to internal length scales. Describing on a macroscopic level a material possessing a substructure at a microscopic length scale calls for introducing additional constitutive parameters. Therefore, in principle, an asymptotic homogenization is feasible to determine these parameters given an accurate knowledge on the substructure. Especially in additive manufacturing, known under the infill ratio, topology optimization introduces a substructure leading to higher order terms in mechanical response. Hence, weight reduction creates a metamaterial with an accurately known substructure. Herein, we develop a computational scheme using both scales for numerically identifying metamaterials parameters. As a specific example we apply it on a honeycomb substructure and discuss the infill ratio. Such a computational approach is applicable to a wide class substructures and makes use of open-source codes; we make it publicly available for a transparent scientific exchange.
