Numerical calculations of the effective (relative) Young’s modulus and thermal conductivity have been performed for porous model materials on computer-generated digital microstructures with a transition from concave to convex pore shape. The results are compared to the case of purely concave and convex pores (isolated or overlapping). It is shown that the Pabst-Gregorová cross-property relation for isotropic porous materials with isometric pores gives an excellent prediction of effective (relative) properties for materials with a transition from concave to convex pore shape. With accuracy better than 0.010 relative property units (RPU) this prediction is far better than the prediction by any other cross-property relation currently known. For the intermediate (concave-convex) microstructures the accuracy of this cross-property relation is better than that for microstructures with purely concave pores (accuracy better than 0.034 RPU) and, surprisingly, even better than for purely convex pores (accuracy better than 0.011–0.013 RPU).

在计算机生成的具有从凹孔到凸孔形状过渡的数字微结构上，对多孔模型材料进行了有效（相对）杨氏模量和热导率的数值计算。将结果与纯凹孔和凸孔（隔离或重叠）的情况进行比较。结果表明，具有等距孔的各向同性多孔材料的Pabst-Gregorová交叉性质关系很好地预测了具有从凹孔到凸孔形状过渡的材料的有效（相对）性能。由于准确度优于0.010相对属性单位（RPU），因此此预测要远远好于当前已知的任何其他跨属性关系的预测。