LATTICE THEORY OF FACE-SHEAR AND THICKNESS-TWIST WAVES IN FACE-CENTERED CUBIC CRYSTAL PLATES.

Abstract

Finite difference equations of motion of the sixth order and the associated boundary conditions for principal planes are formulated for a face-centered cubic lattice of mass particles. The equations are solved for face-shear and thickness-twist waves in a plate with free faces. Computations of mode-shapes and the frequency spectrum are presented for copper and the results are compared with a previous solution for a simple cubic material and with the solution of the classical equations of elasticity. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1969
Accession Number
AD0703657

Entities

People

  • Kevin James Brady

Organizations

  • Columbia University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Crystal Lattices
  • Crystal Structure
  • Crystals
  • Cubic Lattices
  • Difference Equations
  • Equations
  • Equations Of Motion
  • Thickness

Fields of Study

  • Mathematics
  • Physics

Readers

  • Materials Science and Engineering.
  • Structural Dynamics.