The Stress Field in a Cracked Brittle Matrix Composite Cylinder with a Frictional Interface

The effect of a frictional interface on the response of a unidirectional ceramic matrix composite under a remote axial tensile strain and a temperature change is studied. The geometry of the composite is approximated by a concentric cylinder model with an annular crack in the axial plane of the matrix. The fiber-matrix interface follows the Coulomb friction law. On applying the boundary and the interface continuity conditions, the solution is obtained in terms of coupled integral equations and inequality conditions. The extent of the interfacial damage and the stress fields in the fiber and the matrix along the interface are studied for a SiC/CAS composite system as a function of the coefficient of friction, temperature change, and remote uniform axial strain. These results are also compared with a shear lag analysis model for an identical geometry and loading.