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首页> 外文期刊>International journal of mechanics and materials in design >An analytical investigation of elastic-plastic behaviors of 3D warp and woof auxetic structures
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An analytical investigation of elastic-plastic behaviors of 3D warp and woof auxetic structures

机译：3D经线弹塑性行为的分析调查及纬静脉辅助结构

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摘要

The present paper was conducted to calculate Young's modulus and Negative Poisson's ratio (NPR) of a warp and woof (WAW) 3D auxetic structure in three perpendicular directions using an analytical method under uniaxial loading and considering the elastic-plastic behavior of materials. Due to the periodic pattern of the auxetic structure, a unit cell was chosen as a representative volume element (RVE) and its mechanical properties were assessed by developing analytical formulations in the elastic region. To this end, the principle of virtual work along with the concept of lumped plasticity (plastic hinges) were utilized. For validating the proposed analytical model, the 3D finite element (FE) simulations were used. Fairly good correlations were found between the present analytical results and the results of FE simulations. Subsequently, the effects of parameters, such as the initial re-entrant (IRE) angle, the cell thickness, and the auxetic cell aspect ratio on the mechanical properties were investigated. The obtained results revealed that with the increase in the IRE angle, NPR increases in the vertical direction and decreases in two other horizontal directions; it also increases the cell stiffness in three perpendicular directions. The thickness of cell walls does not alter NPR, yet relatively increases the cell stiffness. Furthermore, it was found that the cell aspect ratio has an important role in the mechanical properties of WAW auxetic structures.
机译：使用单轴装载下的分析方法，进行本文以计算杨氏模量和负泊松（NPR）在三个垂直方向上的三个垂直方向，并考虑材料的弹性塑性行为。由于辅助结构的周期性图案，选择单位细胞作为代表性体积元素（RVE），通过在弹性区域中发育分析制剂来评估其机械性能。为此，利用虚拟工作原理以及集体塑性（塑料铰链）的概念。为了验证所提出的分析模型，使用了3D有限元（FE）模拟。目前的分析结果与FE模拟结果之间存在相当良好的相关性。随后，研究了参数的影响，例如初始再参赛剂（IRE）角度，电池厚度和织造电池纵横比对机械性能进行了研究。所得结果显示，随着IS角的增加，NPR在垂直方向上增加并减少了另外两个水平方向;它还在三个垂直方向上增加了细胞刚度。细胞壁的厚度不改变NPR，但相对增加细胞刚度。此外，发现细胞纵横比在Waw辅助结构的机械性能方面具有重要作用。

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