Abstract
In ceramics matrix composites (CMCs), the fiber/matrix interfacial sliding is the main toughening mechanism. In the present study, the interfacial sliding problem was formulated by the constraint conditional finite element method (CC-FEM). In this formulation, the equality of nodal displacements at the interface and the equilibrium of contact forces are assumed as constraint conditions, in which Coulomb’s law of friction is taken into account. As a distinguished advantage, the numerical solutions can be obtained by only one calculation without iterative algorism. In the previous papers, we treated the case such that the fiber in a CMC was oriented along the loading direction. But, in actual CMCs, the fibers are not necessarily oriented along the loading direction, and the fiber diameter also fluctuates along the axis. In this study, thus, the off-axial interfacial sliding problem was formulated, and the validity of CC-FEM was discussed by comparing with ANSYS. The results show that, in the both cases of on- and off-axial interfacial sliding, the resultant stress distributions of the fiber and matrix agreed well with those of ANSYS. As compared to the case of on-axial interfacial sliding, the matrix stress recovered more steeply because of the higher equivalent frictional coefficient.
