论文标题
架构材料，以实现极端刚度，产量和屈曲强度
Architecting materials for extremal stiffness, yield and buckling strength
论文作者
论文摘要
本文提出了一种使用拓扑优化的极端刚度，产量和屈曲强度的微观结构的方法。优化的微观结构揭示了从简单的晶格（如产量为主导的情况）到屈曲为主情况的分层晶格结构的有趣过渡。从简单到层次结构的过渡受组成部分材料的相对屈服强度以及体积分数的控制。优化的微观结构的总体性能表明，无论基材料的相对屈服强度如何，在低体积分数下的屈曲强度和较高体积分数下的屈服强度都确定。优化的微观结构的非归一化特性表明，较高的基本材料的模量既导致较高的Young的模量和架构微结构的强度。此外，随着基本材料相对屈服强度的降低，最大强度线相对于从优化微观结构获得的质量密度的多项式阶数减小，从2.3降低了屈曲主导的热塑性聚氨酯的1.3降至1的屈服主导的钢微结构。
This paper proposes a methodology for architecting microstructures with extremal stiffness, yield, and buckling strength using topology optimization. The optimized microstructures reveal an interesting transition from simple lattice like structures for yield-dominated situations to hierarchical lattice structures for buckling-dominated situations. The transition from simple to hierarchical is governed by the relative yield strength of the constituent base material as well as the volume fraction. The overall performances of the optimized microstructures indicate that maximum strength is determined by the buckling strength at low volume fractions and yield strength at higher volume fractions, regardless of the base material's relative yield strength. The non-normalized properties of the optimized microstructures show that higher base material Young's modulus leads to both higher Young's modulus and strength of the architected microstructures. Furthermore, the polynomial order of the maximum strength lines with respect to mass density obtained from the optimized microstructures reduces as base material relative yield strength decreases, reducing from 2.3 for buckling dominated Thermoplastic Polyurethane to 1 for yield dominated steel microstructures.
