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
Distribution Statement : APPROVED FOR PUBLIC RELEASE