Accession Number:

AD0441306

Title:

GENERALIZED CONTINUUM FIELD REPRESENTATIONS FOR LATTICE VIBRATIONS,

Descriptive Note:

Corporate Author:

CORNELL UNIV ITHACA NY

Personal Author(s):

• Krumhansl, James A.

Report Date:

1964-01-01

Pagination or Media Count:

24.0

Abstract:

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

Descriptors:

• *CRYSTAL LATTICES
• *CRYSTAL DEFECTS
• MATHEMATICAL ANALYSIS
• MATHEMATICAL ANALYSIS
• CONTINUUM MECHANICS
• SAMPLING
• MOTION
• PARTIAL DIFFERENTIAL EQUATIONS

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE