Abstract: |
With three dimensional characteristic volume element models of ceramic matrix composites reinforced by linear, cosine wave and winding hollow carbon nano tubes (CNTs) as the research objects, this paper calculates the effective elastic modulus and local stress of the model by using the homogenization method with exact periodic boundary conditions. It also analyzes the influence of the geometrical shape, size and mechanical characteristics on the mechanical properties of CNTs composites, and compares the results with those obtained by classic mixing rule, Halpin Tsai model and other numerical results. The results show that the geometric winding characteristics of CNTs have a good limiting effect on lateral deformation. The mechanical properties of winding CNTs composites change in curve, and are more susceptible to geometric properties than linear and cosine wave carbon nanotube composites. The maximum axial stress and the maximum equivalent stress of the winding CNTs increase with the increase of the outer diameter of the CNTs, but the anisotropy of the CNTs will reduce their maximum stress, which leads to the weakening of stress transfer ability of the winding CNTs composites. The combination of two scale homogenization method and finite element method can effectively reflect the variation characteristics of mechanical properties, which is an effective method to analyze the mechanical properties of complex microstructure. |