Prediction of stress–strain response of unidirectional ceramic matrix composites under arbitrary loading and unloading

ABSTRACT The constitutive response of ceramics matrix composites (CMCs) under arbitrary loading and loading was studied. A method for determining the distribution of slip regions under arbitrary loading was proposed based on the shear lag model and slip law. Furthermore, a method for judging the closure of the matrix cracks was given based on the assumption that the fibre strain consists of the elastic strain and the pseudo-plastic strain of CMCsss. The stress–strain response of CMCs was obtained in form of matrices based on the distribution of the slip regions instead of the integration of fibre stress in each slip region. The simulated results show that the proposed method improves the computing efficiency greatly compared with previous approaches. Additionally, the simulated results agree well with experimental data, proving that the method proposed in this paper is credible.