A simple method of handling thermomechanical coupling for temperature computation in a rolling tire. First, the sensitivity of the tire elastic response to changes in material stiffness is characterized using the “deformation index”. Then, using a commercial finite element program and an appropriate user subroutine, heat generation is expressed as a function of the local temperature using a simple algebraic expression involving the temperature dependent material properties and the deformation indices. Temperatures are computed using the finite element program with the coupling information contained in the user subroutine. The result is a non-iterative method for a fully-coupled thermomechanical analysis of a tire. The effects of compound changes on tire temperature distribution can also be estimated using the deformation index. The method applies to the energy loss and temperature calculations under both steady-state and transient conditions.