Screw Dislocation in Nonlocal Hexagonal Elastic Crystals.

Abstract

The solution is given for the problem of screw dislocation in hexagonal crystals with long range interatomic interactions. The field equations of nonlocal elastic solids are employed to determine the anti-plane shear stresses and the elastic energy for a screw dislocation in the basal plane. Interestingly enough, none of the classical stress and energy singularities are present in the nonlocal solutions. Maximum shear stresses are calculated for several hexagonal crystals and compared with the isotropic materials. Theoretical shear stress to initiate a dislocation with a Burger's vector of one atomic distance is calculated and found to be in the acceptable range known from the lattice dynamic calculations. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1977
Accession Number
ADA043454

Entities

People

  • Ahmed Cemal Eringen
  • F. Balta

Organizations

  • Princeton University

Tags

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  • Air Platforms
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  • Air Force
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  • Applied Mechanics
  • California
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  • Constitutive Equations
  • Engineering
  • Engineers
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  • Shear Stresses
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Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science and Engineering.