Theory of Nonlocal Elasticity and Some Applications

Abstract

Constitutive equations of finite nonlocal elasticity are obtained. Thermodynamic restriction are studied. The linear theory is given for anisotropic and isotropic solids. The physical and mathematical properties of the nonlocal elastic moduli are explored through lattice dynamics and dispersive wave propagations. The theory is applied to the problems of surface waves, screw dislocation and a crack. Excellent agreements with the results known in atomic lattice dynamics and experiments display the power and potential of the theory.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1984
Accession Number
ADA145201

Entities

People

  • A. C. Eringen

Organizations

  • Princeton University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Brillouin Zones
  • Computational Science
  • Constitutive Equations
  • Crystal Lattices
  • Crystal Structure
  • Crystals
  • Differential Equations
  • Elastic Properties
  • Lattice Dynamics
  • Materials
  • Materials Science
  • Mechanics
  • Military Research
  • Phase Velocity
  • Physical Theories
  • Physics Laboratories

Fields of Study

  • Mathematics

Readers

  • Materials Science (Mechanical Engineering).
  • Materials Science and Engineering.
  • Structural Dynamics.