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An ultra-simple universal model for the effective elastic properties of isotropic 3D closed-cell porous materials

机译：各向同性三维闭孔多孔材料有效弹性特性的超简单通用模型

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In this paper, effective elastic properties of the isotropic 3D closed-cell porous materials are comprehensively investigated through finite element method simulations, theoretical formulations and experimental tests. 3D representative volume element models with randomly distributed non-overlapping Voronoi-structured voids of various porosities (from 0.01 to 0.99) are created to compute the effective bulk and shear moduli of the porous materials. An ultra-simple universal model (USUM) is developed to predict the effective shear modulus covering the entire porosities. The effective Young's modulus and Poisson's ratio of ultra-simple form are then formulated. The findings show that the theoretical estimates agree well with the numerical results for all the effective elastic properties. The uniaxial compression tests are implemented on the specimens of 3D printed porous nylon to measure the effective Young's modulus. The results suggest that the theoretical predictions of the USUM agree very well with the effective Young's moduli of the porous materials, covering a wide range of porosity.
机译：本文通过有限元方法模拟，理论制剂和实验试验，全面研究了各向同性三维闭孔多孔材料的有效弹性性能。 3D具有随机分布的非重叠Voronoi结构空隙的3D代表体积元素模型是产生各种孔隙率的（从0.01到0.99），以计算多孔材料的有效体积和剪切模量。开发了超简单的通用模型（USUM）以预测覆盖整个孔隙率的有效剪切模量。然后制定有效的杨氏模量和泊松比例的超简单形式的比例。调查结果表明，理论估计与所有有效弹性特性的数值结果很好。单轴压缩试验在3D印刷多孔尼龙的标本上实现，以测量有效的杨氏模量。结果表明，USUM的理论预测与多孔材料的有效杨氏模胶的理论预测非常好，覆盖各种孔隙率。

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