多孔材料弹性模量预测的数值方法

讨论了多孔材料弹性模量预测的快速傅里叶变换法。首先在正方形区域中模拟圆孔以获得多孔材料的细观结构,再选择等距离像素点,通过迭代法获得多孔材料弹性模量。这种方法的主要优点是避免了有限元网格划分,也不要求形成刚度矩阵,可以直接利用图像。最后,通过与文献中的解析解比较,讨论了该数值方法的收敛性和有效性。

A Numerical Method for Predicting the Elastic Modulus of Porous Materials

A fast Fourier transform method for predicting the elastic modulus of porous materials is discussed.First,the mesostructure of porous material is generated by simulationg the distribution of circular pores within a square domain.Pixels with equidistance are then selected.The elastic modulus of porous material is obtained by continuous iterations.The main advantage of this method is to avoid meshing and not to require the formation of the stiffness matrix,while the image can be directly used.Finally,the validity and convergence of the method are preliminarily verified with the analytical solution reported in the literature.