Accession Number : AD0677042

Title :   CRYSTAL LATTICE THEORY OF TORSION OF A RECTANGULAR BAR OF SIMPLE CUBIC STRUCTURE.

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 : 16

Abstract : In this paper, there is described an exact, closed solution of the Gazis-Herman-Wallis difference equations of a simple cubic crystal lattice for the case of torsion of an elastic bar of rectangular cross section. Examples are worked out for increasing numbers of particles in the cross section and various ratios of width to depth of cross section until the pattern of the warping function from de St. Venant's continuum solution is established. The displacement of each particle, characterizing the warping function, is given as a simple ratio of integers times the product of the angle of twist per unit length and the square of the distance between nearest neighbor particles. (Author)

Descriptors :   (*CRYSTAL LATTICES, *TORSION), DIFFERENCE EQUATIONS, RECTANGULAR BODIES, ELASTIC PROPERTIES

Subject Categories : Crystallography
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE