Analysis Method of Non-Periodic CMC Structure Based on Super-Element

Structural analysis is a challenge for the application of ceramic matrix composite at present. On one hand, the macro-homogenization method cannot consider mesoscopic non-periodicity, therefore it is difficult to ensure accuracy. On the other hand, directly performing finite element calculations on the mesoscopic model is unacceptable since the model is too large to be solved. The super-element method is developed in the present study to balance the calculation accuracy and efficiency. The modification of the stress-strain field by the material properties is considered, and the modified strain method and the modified stress method are proposed. Establishment of the super-element method for weighted averaging of the two methods according to the degree of damage. The simulation calculations of the super-element model for the non-periodic CMC dovetail were carried out, which verified that the super-element method proposed is accurate.