We show that elastic moduli of higher (third and fourth) order of prestressed single crystals at high pressure, obtained from the Gibbs free energy, enter the relation between the Cauchy stress and Lagrange finite-strain tensor the same way they do for the second-order elastic moduli and, therefore, directly describe the nonlinear elasticity of prestressed crystals.

• Received 28 January 2022
• Revised 29 April 2022
• Accepted 7 June 2022

DOI:https://doi.org/10.1103/PhysRevB.105.226101