A large scale, high resolution, finite element methodology for analysis of generic thermomechanical behavior of complex, low heat rejection engine components has been developed. This paper describes this process and presents an example evaluation of a low heat rejection cylinder head. Because of symmetry considerations, a one cylinder section of the head was modeled. However, the geometric nature of this cylinder head section required very precise three-dimensional analysis techniques. The completed three-dimensional model contains 40,696 elements and 48,536 nodes. The results of this example model show high stresses at the valve bridge and injector bore. These stresses result from a constrained thermal expansion of the head, and are generally compressive and radial in nature. A comparison of three different material types indicated that two of the three exceeded, and one was below the elastic limit. For the one which was below the elastic limit, it is indeterminate whether it would have acceptable fatigue life. This analysis methodology, used in conjunction with experimental verification, was found to be a very powerful analysis tool.