Accession Number : AD0677041

Title :   LATTICE AND CONTINUUM THEORIES OF SIMPLE MODES OF VIBRATION IN CUBIC CRYSTAL PLATES AND BARS.

Descriptive Note : Technical rept.,

Corporate Author : COLUMBIA UNIV NEW YORK DEPT OF CIVIL ENGINEERING AND ENGINEERING MECHANICS

Personal Author(s) : Mindlin,R. D.

Report Date : AUG 1968

Pagination or Media Count : 17

Abstract : With a view toward helping to bridge the gap, from the discrete side, between discrete and continuum models of crystalline, elastic solids, analytic solutions, in closed form, are obtained of the Gazis-Herman-Wallis finite difference equations of a simple cubic, crystal lattice for the cases of thickness-shear vibrations of a plate, face-shear and thickness-twist waves in a plate and axial shear vibrations of a rectangular bar. The simple character of the solutions facilitates detailed studies of frequencies and mode-shapes as the dimensions of the bodies and wave lengths increase from atomic to the macroscopic sizes at which the classical continuum theory may be used. (Author)

Descriptors :   (*CRYSTAL LATTICES, *VIBRATION), DIFFERENCE EQUATIONS, SHEAR STRESSES, ELASTIC PROPERTIES

Subject Categories : Crystallography
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE