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Outgoing from energy conservation and the second law of thermodynamics we derive a thermo-mechanically coupled model for shape memory alloys. Additionally, we introduce a field function which allows for the modification of the dissipation coefficient. All together, the model is capable to display the localized phase transformation as well as temperature distribution which were observed in experiments. This paper focuses on the influence of heat conductivity on numerical results for poly-crystalline shape memory alloys. The heat conductivity is identified in the approach for the entropy production. Slight changes of the entropy production ansatz yield interesting numerical results, capable of displaying experimental observations.