论文标题
拓扑和孔隙率对带有蜂窝结构的细胞材料条纹的尺寸影响在剪切，张力和弯曲下的影响
Influence of Topology and Porosity on Size Effects in Stripes of Cellular Material with Honeycomb Structure under Shear, Tension and Bending
论文作者
论文摘要
已知细胞固体会表现出大小效应，即当样品大小与细胞大小相当时，表观有效弹性模量的差异。目前的贡献采用了介质结构的直接数值模拟（DNS）来研究孔隙度，孔形状的影响，孔的形状以及沿支撑杆的材料分布，以及负载对常规蜂窝结构的尺寸效应和有效模量的方向。将光束模型与连续模型进行比较，用于简单的剪切，单轴载荷和有限宽度条的纯弯曲。发现蜂窝结构表现出相当大的尺寸效应各向异性，并且具有圆形孔的蜂窝结构比具有六角形孔的蜂窝结构表现出更强的尺寸效应（因此是直杆）。在简单的剪切和弯曲和单轴负载下，在简单的剪切和负（软化）尺寸效应下观察到阳性（僵硬）效应。负尺寸效应是根据应力梯度理论解释的。
Cellular solids are known to exhibit size effects, i.e., differences in the apparent effective elastic moduli, when the specimen size becomes comparable to the cell size. The present contribution employs direct numerical simulations (DNS) of the mesostructure to investigate the influences of porosity, shape of pores, and thus material distribution along the struts, and orientation of loading on the size effects and effective moduli of regular honeycomb structures. Beam models are compared to continuum models for simple shear, uniaxial loading and pure bending of strips of finite width. It is found that the honeycomb structure exhibits a considerable anisotropy of the size effects and that honeycomb structures with circular pores exhibit considerably stronger size effects than those with hexagonal pores (and thus straight struts). Positive (stiffening) size effects are observed under simple shear and negative (softening) size effects under bending and uniaxial loading. The negative size effects are interpreted in terms of the stress-gradient theory.
