The mechanical properties of geo-materials, porous media, and cementing materials are inherently variable, owing to the presence of pores, cracks, and other microscale heterogeneities, known as Griffith flaws. In this study, we focused on the influence of disordered pore distribution on the mechanical properties of bonded granular materials and performed simulations of uniaxial tensile testing through 2D Discrete Element Method (DEM). The sample was modeled in the form of an agglomeration of elementary balls with breakable bonds, while disordered pores were introduced by deleting a certain number of elementary balls from the initial dense ordered packing. We defined the pore disorder parameter as D_p, which specifies the degree of disorder, and applied uniaxial tension to various samples with different D_p. The simulation results demonstrated that the failure strength is inversely proportionate to the level of porosity and D_p, and that the heterogeneity of stress transmission also increases with D_p. The reduction of tensile strength in a highly disordered specimen (D_p = 2.0) reached its maximum value when the porosity was 0.274, while the reduction of the tensile stiffness dominated when the porosity was 0.339. Near the percolation threshold (referring to the porosity when strength or strength becomes zero), ${\mathit{\phi }}_c\text{=}0.527$, both strength and stiffness were well described by the percolation theory. In addition, larger D_p lead to higher stress concentration, causing greater uncertainty of the failure strength. These findings help us to understand the influence of structural disorder over the mechanical properties of disordered porous materials.

地质材料、多孔介质和胶结材料的机械性能本质上是可变的，因为存在孔隙、裂缝和其他微观不均匀性，称为格里菲斯缺陷。在这项研究中，我们关注无序孔隙分布对粘结颗粒材料力学性能的影响，并通过二维离散元方法 (DEM) 进行单轴拉伸试验的模拟。该样品以具有易碎键的基本球团聚的形式建模，同时通过从最初的密集有序堆积中删除一定数量的基本球来引入无序孔。我们将孔隙无序参数定义为D _p，它指定了无序程度，并对具有不同D _{p 的}各种样品施加单轴张力。模拟结果表明，破坏强度与孔隙度和D _p的水平成反比，应力传递的不均匀性也随D _{p 的}增加而增加。 当孔隙率为 0.274 时，高度无序试样 ( D _p = 2.0)的拉伸强度降低达到最大值，而当孔隙率为 0.339 时，拉伸刚度的降低占主导地位。接近渗透阈值（指强度或强度为零时的孔隙度），${\mathit{\phi }}_C\text{=}0.527$，渗透理论很好地描述了强度和刚度。此外，较大的D _p导致较高的应力集中，导致失效强度的更大不确定性。这些发现有助于我们了解结构无序对无序多孔材料机械性能的影响。