孔隙形状及孔隙率对多孔材料弹性性能的影响

利用通用单胞法(GMC)计算了不同孔隙形状及孔隙率对多孔材料等效弹性参数的影响,计算中分别采用二维方形、圆形孔隙模型和三维立方体、球形孔隙模型模拟多孔材料。不同孔隙率下等效弹性参数的计算结果表明: 不同孔隙形状下,多孔材料等效弹性参数随孔隙率增大的退化程度不同;通过对比二维简化模型与三维模型的差异,发现二维简化模型对多孔材料等效弹性参数的估算值偏低。进一步将GMC计算结果和已有文献实验结果进行比较,发现两者具有较高的吻合度。最后将GMC模型与有限元、经验模型进行对比,得出GMC模型的局限性。综合计算结果,GMC具有一定的计算精度,可应用于工程实际分析中。

Influence of pore geometry and porosity on elastic properties of porous materials

The generalized method of cells(GMC)was used to study the influence of pore geometry and porosity on equivalent elastic parameters of porous materials.2D models with square and circular pore geometry and 3D models with cubic and spherical pore geometry were used to simulate porous materials.The results of equivalent elastic parameters under different porosities show that different pore geometry affects the degradation of equivalent elastic parameters with increasing of porosity.The comparison of 2D and 3D models indicates that 2D models would underestimate equivalent elastic parameters of porous materials.Experimental data from existing literature were used to verify the accuracy of GMC prediction, and both are in good agreement.Finally, GMC results were compared with finite element and empirical model to obtain the limitation of GMC model.It can be summarized from all the calculations that GMC has certain accuracy and could be used in engineering analysis.