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Generalized Continuum Field Representations for Lattice Vibrations

James A. Krumhansl

出版	Laboratory of Atomic and Solid State Physics, Cornell University, 1964
URL	http://books.google.com.hk/books?id=9z1UAAAAYAAJ&hl=&source=gbs_api

註釋

Various representations of lattice displacement fields in the harmonic approximation are discussed. A method for defining a continuous field whose properties are systematically related to the lattice fields is developed. Using this method the usual elastic continuum and couplestress continuum approximations at long waves appear as the leading terms in a generalized continuum description of the harmonic lattice. The magnitude of the couple-stress effects can be estimated from molecular vibration data; at macroscopic wave lengths the couple-stress effects will be negligible in normal solids. Another application is the generalization of the method of long waves; this leads to ''effective modulus'' equations for arbitrary points in the BZ that are not zero. Application to study of extended defects is indicated. (Author).