Coefficient of thermal expansion (CTE) mismatch between metal and composite is a major barrier for use of composites in applications that require a metal liner. The situation is critical for cryogenic applications because of the large temperature excursion to which the pipe is subjected. The paper demonstrates that CTE mismatch can be offset through the use of autofrettage. Modeling techniques are introduced for the analysis of conventional mechanical autofrettage. Novel thermal autofrettage is proposed and demonstrated to be effective for those situations and material combinations for which conventional autofrettage is not feasible.