MICROSTRUCTURE IN LINEAR ELASTICITY,

Abstract

A linear theory is formulated of a three-dimensional, elastic continuum which has some of the properties of a crystal lattice as a result of the inclusion, in the theory, of the idea of the unit cell. The equations yield wave-dispersion relations with acoustic and optical branches of the same character as those found at long wave-lengths in crystal lattice theories and observed in neutron scattering experiments. Although specific solutions are not exhibited in detail, it is apparent from the form of the equations that there will be interesting surface effects under conditions of both motion and equilibrium. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1963
Accession Number
AD0424156

Entities

People

  • Raymond D. Mindlin

Organizations

  • Columbia University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Constitutive Equations
  • Crystal Lattices
  • Crystal Structure
  • Dispersion Relations
  • Elastic Properties
  • Equations
  • Equations Of Motion
  • Frequency
  • Group Velocity
  • Kinetic Energy
  • Mechanics
  • Modulus Of Elasticity
  • Plane Waves
  • Potential Energy
  • Three Dimensional
  • Two Dimensional
  • Variational Equations

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Materials Science and Engineering.