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arXiv 2409.12652cond-mat.mtrl-scicond-mat.dis-nncond-mat.mes-hall
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刚性与可变形准晶结构材料

Stiff and Deformable Quasicrystalline Architected Materials

Matheus I. N. Rosa, Konstantinos Karapiperis, Kaoutar Radi, Dennis M. Kochmann

AI总结:

本文提出一类受准晶格启发的非周期结构材料,通过梁网络实现刚性与大应变稳定变形的结合,克服周期性设计的失稳问题,为低密度超材料开辟新方向。

摘要:

结构材料通过精确设计的微结构实现独特的力学性能,从而最大限度地减少材料用量。然而,低密度材料的一个关键挑战是在高刚度与高达大应变的稳定可变形性之间取得平衡。目前的微结构采用细长构件(如薄梁和薄板)以周期性排列来优化刚度,但大多容易发生失稳,包括在低应变下的屈曲和脆性坍塌。本文通过引入一类受准晶格启发的新型非周期结构材料来解决这一挑战。由典型准晶图案(如二维彭罗斯镶嵌和三维二十面体准晶)衍生的梁网络被证明能够形成刚性的、以拉伸为主的拓扑结构,并具有非均匀的力链分布,有效缓解了周期性设计中观察到的全局失稳。数值和实验结果表明,这些设计在结合大应变下的刚度和稳定可变形性方面是有效的,代表了在需要高抗冲击性和能量吸收的应用中开发低密度超材料的重要进展。我们的结果证明了确定性准周期拓扑结构在弥合周期结构与随机结构之间差距的潜力,同时向结构材料性能空间中的未知领域拓展。

英文摘要:

Architected materials achieve unique mechanical properties through precisely engineered microstructures that minimize material usage. However, a key challenge of low-density materials is balancing high stiffness with stable deformability up to large strains. Current microstructures, which employ slender elements such as thin beams and plates arranged in periodic patterns to optimize stiffness, are largely prone to instabilities, including buckling and brittle collapse at low strains. This challenge is here addressed by introducing a new class of aperiodic architected materials inspired by quasicrystalline lattices. Beam networks derived from canonical quasicrystalline patterns, such as the Penrose tiling in 2D and icosahedral quasicrystals in 3D, are shown to create stiff, stretching-dominated topologies with non-uniform force chain distributions, effectively mitigating the global instabilities observed in periodic designs. Numerical and experimental results confirm the effectiveness of these designs in combining stiffness and stable deformability at large strains, representing a significant advancement in the development of low-density metamaterials for applications requiring high impact resistance and energy absorption. Our results demonstrate the potential of deterministic quasi-periodic topologies to bridge the gap between periodic and random structures, while branching towards uncharted territory in the property space of architected materials.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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