Abstract Different models for the fracture toughness, K I C , of porous materials have been proposed to describe K I C as a function of the porosity P. They have in common that beside P at least one additional parameter exists that has to be adjusted to the measured data. Based on the cubic structure, we present a geometrical 3D model without any arbitrary parameter, which predicts the K I C , the toughness, G C , and the Young's modulus, E, of a porous material. The model comprises three variants, depending on the material properties like open or closed porosity. It is in good agreement with a large amount of experimental data from different research groups.

中文翻译：

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多孔材料断裂韧性的几何模型

摘要 多孔材料的断裂韧性 KIC 的不同模型被提出来描述 KIC 作为孔隙率 P 的函数。它们的共同点是除了 P 之外，至少存在一个附加参数，必须根据测量数据进行调整。基于立方结构，我们提出了一个没有任何任意参数的几何 3D 模型，该模型预测了多孔材料的 KIC、韧性、GC 和杨氏模量 E。该模型包括三个变体，具体取决于材料属性，例如开放孔隙率或封闭孔隙率。与不同研究组的大量实验数据吻合良好。