Abstract
The complete set of third-order elastic constants of the high-temperature superconductor is calculated by taking into account the interactions between nine nearest-neighbour atoms in the lattice. Finite deformation theory is used to obtain the strain energy density of a tetragonal 2-1-4-type single crystal of the high-temperature superconductor . This is compared with the strain-dependent lattice energy in continuum model approximation. The second-order derivative of the potential function is obtained from the measured . The third-order derivative is evaluated from the Mie-Grüneisen interatomic potential. The second-order elastic constants of are calculated and compared with the available measured values. The third-order elastic constants of are negative and their absolute magnitudes are one order higher than those of the second-order elastic constants.
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