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Thermodynamic potentials and Clausius–Clapeyron equation for strained solids

The thermodynamic potentials and Clausius–Clapeyron equation are generalized to the solids with arbitrary homogeneous elastic deformations accompanied by change of the solid volume, in particular, to the solids strained by a uniaxial, biaxial, or triaxial pressure. The concept of an ‘effective’ volume V* = AV of the strained solid is introduced. The proportionality coefficient A does not depend on the strain value and is determined by the elastic compliances of the solid and by the stresses ratios. For hydrostatic pressure A = 1. The thermodynamic potentials, the Clausius–Clapeyron equation, and other thermodynamic equations for the strained solids are obtained from the usual ones only by replacing V with V*.