Printing Non-Euclidean Solids.
Printing Non-Euclidean Solids.
复制标题
打印非欧几里得实体。
DOI：
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发表时间：
2017
影响因子：
8.6
通讯作者：
L. Truskinovsky
中科院分区：
文献类型：
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作者：
G. Zurlo;L. Truskinovsky
具有非欧几里得参考度规的几何受挫固体在生物学中普遍存在，并在技术应用中变得越来越重要。通常，在树木生长或筑坝过程中，它们通过表面质量的积累获得不相容的目标构型。我们使用不相容表面生长的机制来证明在沉积过程中形成的几何受挫可以被微调以确保系统在生理(或工作)条件下的特定行为。作为说明，我们获得了用于动脉的显式3D打印协议，该协议保证了在非均匀载荷下的应力均匀，以及对于爆炸装置，允许通过一次切割完全释放残余弹性能量。有趣的是，在这两种情况下，达到生理目标都需要具有拓扑(全局)组件的不亲和性。
Geometrically frustrated solids with a non-Euclidean reference metric are ubiquitous in biology and are becoming increasingly relevant in technological applications. Often they acquire a targeted configuration of incompatibility through the surface accretion of mass as in tree growth or dam construction. We use the mechanics of incompatible surface growth to show that geometrical frustration developing during deposition can be fine-tuned to ensure a particular behavior of the system in physiological (or working) conditions. As an illustration, we obtain an explicit 3D printing protocol for arteries, which guarantees stress uniformity under inhomogeneous loading, and for explosive plants, allowing a complete release of residual elastic energy with a single cut. Interestingly, in both cases reaching the physiological target requires the incompatibility to have a topological (global) component.