Porous ceramics are numerically constructed based on the convexity of the void phase: microstructures with convex pores are representative of isolated or randomly overlapping spherical pores, while particulate materials with non-convex pores are composed of randomly overlapping, partial overlapping or partially sintered solid spheres. Finite element simulations show that, given the porosity, thermal conductivities and elastic moduli for convex porosity are larger than the values for non-convex pores. These conditions are not well described by solely porosity. By contrast, this study proposes a new microstructural parameter, <lp2>/(<ls2>+<lp2>), to estimate thermal conductivities and elastic moduli for both convex and non-convex pores. <ls2> and <lp2> are respectively mean-square solid chord length and mean-square pore chord length of cross-sections, which can be conveniently extracted from SEM images combined with chord length distributions of solid and void.

多孔陶瓷是基于空隙相的凸度进行数值构造的：具有凸孔的微结构代表孤立的或随机重叠的球形孔，而具有非凸孔的颗粒材料则由随机重叠，部分重叠或部分烧结的固体球组成。有限元模拟表明，在给定孔隙度的情况下，凸孔隙度的导热系数和弹性模量大于非凸孔的数值。这些条件不能仅通过孔隙来很好地描述。相比之下，这项研究提出了一个新的微结构参数<lp2> /（<ls2> + <lp2>），以估计凸孔和非凸孔的热导率和弹性模量。<ls2>和<lp2>