Inconsistencies in the current thermodynamic description of elastic   solids
  Using the contemporary thermodynamic equations of elastic solids leads to contradictions with the fundamental statements of thermodynamics. Two examples are presented to expose the inconsistencies. In example one the internal energy between the initial and final states shows path dependency while in example two changing the temperature of a system at constant volume produces mechanical work. These results are contradictory with the fundamentals of thermodynamics and indicate that the contemporary description of elastic solids needs to be revisited and revised. 
Jozsef Garai and Alexandre Laugier