The discussion and pictures have all been about a structiral model so far. You lastest post descibes a heat input and temperature output, which is a different analysis, so I assume you have a one-way thermal analysis linkage into this structural model. I don't know if your time stepping of 640 sec load step, 16 s intital, 12.8 s min, 64 s max are for the thermal or structural analysis. For a structural analysis, this means only a max of 50 substeps. In a problem model, you can allow for a lot more substeps, like 1e5. This would be a 0.0064 minimum time step. The auto time stepping can adjust larger when time stepping is easier.
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