Method for optimizing content of nano SiO2 in nano SiO2 modified composite material based on crack failure mechanism

The invention relates to a method for optimizing the content of nano SiO2 in a nano SiO2 modified composite material based on a crack failure mechanism. The method mainly comprises the following steps: calculating a component of a spherical nano SiO2 tensor; respectively constructing volume fraction expressions of the matrix and the nano SiO2; calculating the components of the modulus tensor of the matrix and the nano SiO2 respectively; constructing a nano SiO2 modified composite material model; calculating to obtain the Poisson ratio of the modified composite material; calculating the crack stress intensity factor of the modified composite material, and obtaining the mass fraction of the nano SiO2 particles required for achieving the optimal modification effect of the modified composite material. According to the method provided by the invention, the content of the nano SiO2 particles is optimized according to the relationship between the crack stress intensity factor of the modified composite material and t