DYNAMICAL ASPECTS OF THE DEFORMATION OF A 6-CONSTANT CUBIC CRYSTAL

Abstract

The displacement equations of motion for a 6-constant centrosymmetric cubic crystalline material are developed. Also, the determinantal equations for velocities of plane elastic waves are developed. Previously determined elastic constants are used to calculate the phase velocities in various directions of a cubic crystal. Normal mode vibrations of cubes and infinite prisms are theoretically considered. Dilatational modes of these bodies are determined and they demonstrate that there are no couple-stress effects in these cases. Normal mode shapes and frequencies for the equivoluminal modes are obtained but without consideration of couple-stresses. Free vibration experiments were conducted on a two-dimensional model which was considered as a slice of an infinite prism and on a three-dimensional cubic model. Experimentally determined frequencies and mode shapes are studied in terms of the theoretical results.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1966
Accession Number
AD0634923

Entities

People

  • V. X. Kunukkasseril
  • W. H. Hoppmann Ii

Organizations

  • Rensselaer Polytechnic Institute

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Cells
  • Constitutive Equations
  • Differential Equations
  • Elastic Waves
  • Equations
  • Equations Of Motion
  • Frequency
  • Geometric Forms
  • Materials
  • Phase Velocity
  • Shape
  • Surface Properties
  • Three Dimensional
  • Two Dimensional
  • Vibration
  • Wave Propagation
  • Waves

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Materials Science and Engineering.
  • Mechanical Engineering/Mechanics of Materials.