Thermal mismatch stress of a cylindrical inclusion in a cubic crystal

Thermal mismatch stress of a [0 0 1] cylindrical inclusion in a cubic crystal is theoretically investigated by using complex variable formulation of anisotropic elasticity. The closed-form expressions for the interface stress in terms of material constants are derived. Both the stresses in the inclusion and in the matrix are determined. Some numerical results are provided to illustrate the general features of the stress distribution. The stress intensity factors associated with radial cracks emanating from the inclusion are also determined. Based on these results brief discussions on the possible damage modes of the composite due to thermal mismatch are given.