Several LATIN algorithms have been developed to solve nonlinear mechanical problems. In this paper, the LATIN method is used to solve thermo-mechanical problems. By analysing the characteristics of the equations, an algorithm is built in the LATIN method framework. The proposed algorithm enables to improve the prediction of the displacement as well as that of the temperature over the entire time interval and over the structure. A simplified representation of the thermo-mechanical variables is built by the algorithm with classical finite elements. This kind of algorithm seems to be well suited to multiple analysis associated to the adaptation of the model or parametric studies. The feasibility of this approach is shown through simple examples dealing with contact phenomena. A comparison with the industrial software ANSYS is presented.

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