The residual stresses induced in fiber-reinforced functionally graded composites cooling
down from the processing temperature are determined with concentric cylinder model and
analytical solutions of inhomogeneous governing equations for displacement components, which
include particular solution and general solution of the corresponding homogeneous equations. The
analytical solutions presented here are general for power-law variations of the elastic moduli of the
functionally graded matrix. With a power exponent, analytical expressions for the residual stresses
of fiber-reinforced functionally graded composites can be obtained. By changing the power
exponent and the coefficient of the power terms, the solutions obtained here could be applied to
fiber-reinforced functionally graded composites with different properties. The results show that the
large difference exists between functionally graded composites and common-used composites
consisting of two phases of homogenous materials. The variation of matrix modulus and fiber
percentage have a great deal of effects on the residual stresses in functionally graded composites.