Abstract The effect of porosity comprised of spherical air voids on the compressive strength of quasi-brittle material was studied via simulations. The simulated porous structures were based on pore size distributions of two mortar samples measured by X-ray microtomography. While the simulation method set practical limits on the size of sample, the base of the statistics was established by simulating 128 small structures generated by sampling from pore structures of two mortars. By studying the application of the classical strength-porosity formulas to the simulated data, a new simple model was formed. A linear relationship was achieved between the cubic root of air void fraction (porosity) and the simulated compressive strength. The reasons for scattering of simulated strength around fitted trend remained unresolved in this study; no clear dependence on pore number or other distribution properties was observed. With the presented simulation approach, the dependence of compressive strength on porosity is achieved independently of disturbances that occur in experimental studies creating understanding of compressional behavior of low porosity materials.

中文翻译：

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准脆性多孔材料：随机气孔结构对抗压强度的模拟影响

摘要 通过模拟研究了由球形气孔构成的孔隙率对准脆性材料抗压强度的影响。模拟的多孔结构基于通过 X 射线显微断层扫描测量的两个砂浆样品的孔径分布。虽然模拟方法对样品的大小设置了实际限制，但通过模拟从两个砂浆的孔隙结构中采样产生的 128 个小结构，建立了统计基础。通过研究经典强度-孔隙率公式在模拟数据中的应用，形成了一个新的简单模型。空气空隙率（孔隙率）的立方根与模拟的抗压强度之间实现了线性关系。在本研究中，拟合趋势周围模拟强度分散的原因仍未解决；没有观察到明显依赖于孔数或其他分布特性。使用所提出的模拟方法，抗压强度对孔隙率的依赖独立于实验研究中发生的干扰而实现，从而了解低孔隙率材料的压缩行为。