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力学性能失配较大的多层结构自高温状态冷却收缩时会积聚很大的应力,其应力失稳模式可表现为多种有序的应力花样,可用于微纳米结构的自组装,其中支撑面的几何结构对其上的应力分布点阵具有决定性的影响.本文介绍了在球形和圆盘形内核/壳层上通过应力工程形成的三角铺排和菲波纳契螺旋花样,探讨了以相互排斥粒子的最小能量构型为模型的特征应力花样与其支撑结构的几何之间关系的普适性,并将此模型用于解释自然界中花叶序的多样性与特征不变性.
The multi-layer structure with large mismatch of mechanical properties will accumulate a great deal of stress when cooling and shrinking from high temperature. The stress instability mode can be expressed as a variety of ordered stress patterns, which can be used for the self-assembly of micro-nano structure, The geometrical structure of the surface has a decisive influence on the stress distribution lattice on it.This paper introduces the triangular arrangement and the Fibonacci spiral pattern formed by stress engineering on the spherical and disc-shaped core / shell, The minimum energy configuration of exclusion particles is the universality of the relationship between the model's characteristic stress pattern and the geometry of its supporting structure. This model is used to explain the diversity and feature invariance of the mosaic order in nature.