Screw Dislocation in Nonlocal Hexagonal Elastic Crystals.

reportActive / Technical Report | Accession Number: ADA043454 | Open PDF

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 Burgers vector of one atomic distance is calculated and found to be in the acceptable range known from the lattice dynamic calculations. Author

Author(s):
Eringen, A. Cemal ; Balta, F.
Author Organization(s):
PRINCETON UNIV N J DEPT OF CIVIL AND GEOLOGICAL ENGINEERING
Descriptive Note:
Technical rept.,
Pagination:
0025

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
77-SM-12, TR-47
Contract/Grant Number(s):
N00014-76-C-0240
 Subject Terms
Joint Capability Areas:
JCA_1.2_Force Preparation; JCA_1_Force Support; JCA_1.2.3_Educating; JCA_4.6_Engineering; JCA_3.2_Engagement; JCA_3_Force Application; JCA_3.2.1_Kinetic Means; JCA_4_Logistics
Communities of Interest:
Weapons Technologies
Descriptor(s):
*CRYSTAL STRUCTURE, *DISLOCATIONS, *SOLID BODIES, COMPUTATIONS, INTERACTIONS, ELASTIC PROPERTIES, ATOMS, ANISOTROPY, BOUNDARY VALUE PROBLEMS, ISOTROPISM, SHEAR STRESSES, LATTICE DYNAMICS, LOGARITHM FUNCTIONS, DISCONTINUITIES, FIELD THEORY, PLANE GEOMETRY, VOLTERRA EQUATIONS
Field(s)/Group(s):
Theoretical Mathematics, Mechanics
Keyword(s):
Screw dislocations, Burgers vectors
Report Date:
1977 Jul 01