论文部分内容阅读
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。
The effects of different pore shapes and porosity on the equivalent elastic parameters of porous materials were calculated by the universal single cell method (GMC). Two-dimensional square and circular pore models and three-dimensional cubes and spherical pore models were used to simulate the porous materials respectively. The calculation results of equivalent elastic parameters at different porosities show that the degradation of equivalent elastic parameters of porous materials with porosity increases with different pore shapes. By comparing the difference between two-dimensional simplified model and three-dimensional model, The model estimates the equivalent elastic parameters of porous materials as low as possible. The results of GMC and the experimental results of the existing literature are further compared and found that the two have a good agreement. Finally, GMC model is compared with the finite element model and empirical model to get the limitations of GMC model. Based on the comprehensive calculation results, GMC has a certain degree of accuracy and can be applied to the actual engineering analysis.