Recovery of the Auxetic Microstructures Appearing in the Least Compliant Continuum Two‐Dimensional Bodies,Physica Status Solidi (B) - Basic Solid State Physics

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Recovery of the Auxetic Microstructures Appearing in the Least Compliant Continuum Two‐Dimensional Bodies
Physica Status Solidi (B) - Basic Solid State Physics ( IF 1.5 ) Pub Date : 2020-10-09 , DOI: 10.1002/pssb.202070036
Sławomir Czarnecki ₁ , Tomasz Łukasiak ₁

Affiliation

Spatially varying underlying microstructures corresponding to the optimal distribution of elastic moduli of inhomogeneous isotropic materials (top‐left figures on the cover), minimizing the compliance of a 2D cantilever, are computationally constructed by implementation of the asymptotic homogenization method for periodic media (central figure); see article number 1900676 by Czarnecki and Łukasiak. The isotropic properties of the periodic structure are ensured by assuming rotational symmetry of the hexagonal shape of the representative volume element. The consistent multiplication of a single parameterized fiber (characterized by three points and thickness) with its rotation according to the assumed symmetry creates a periodic microstructure (top‐right figures). Two examples of the auxetic microstructures are shown at the bottom.

中文翻译：

恢复最少的连续体二维实体中出现的辅助微结构

通过实现周期介质的渐近均匀化方法，通过计算构造了空间变化的底层微观结构，这些微观结构对应于非均质各向同性材料的弹性模量的最佳分布（封面左上图），从而最大程度地降低了2D悬臂的柔度。）; 参见Czarnecki和Łukasiak的文章编号1900676。通过假设代表性体积元素的六边形形状的旋转对称性来确保周期性结构的各向同性特性。根据假定的对称性，单个参数化光纤（以三个点和厚度为特征）的旋转与其相乘的一致乘法会产生周期性的微观结构（右上图）。底部显示了膨胀组织的两个例子。

更新日期：2020-10-11

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