Abstract

The change of the lattice specific heat caused from the strain fields of dislocations has been evaluated on the basis of the higher order elasticity theory. The variations of the lattice vibrational frequencies due to strains were calculated using the quasi-harmonic approximation, and the usual and the higher order mode Gruneisen parameters were expressed as functions of the second-, third-, and fourth-order elastic constants. The displacement fields of an edge and a screw dislocation were also calculated with taking into account the elastic anisotropy of the crystal. These results were combined with the Debye theory of specific heat to obtain the expression for the specific heat change from dislocations. Numerical evaluation has been done for the case of copper, and it was found that the specific heat was increased several per cent at liquid helium temperature by dislocations with density of 10 12 cm -2 and the effect was larger for edge dislocations.

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