The heat flux from the gases to the walls of I.C. engines is highly transient, producing temperature transients in thin layers of the walls adjacent to the combustion chamber. The resulting surface temperature swings affect engine performance, and also increase the maximum temperature of the engine components. To analyze these effects, a one-dimensional, time-dependent heat conduction model was developed, with the capability to handle layered or laminated walls and temperature-dependent material properties. The model is driven by a thermodynamic cycle code coupled to a steady-state heat conduction model of the engine structure. A parametric study was carried out in which boundary conditions representing a heavy duty diesel engine were applied to materials with a wide range of thermal properties. The calculated results include the swing amplitudes, net heat flux, and “pumped heat,” a quantity describing heat stored temporarily in the walls and rejected back to combustion gases within each cycle.