A Method for Analyzing Image Distortion in Diffraction Topographs,

Abstract

The geometry of image distortion in diffraction topographs can be analyzed with complete generality by considering the mapping between the topograph and the true surface configuration as an affine transformation on a two dimensional manifold, as described by the relation z to the kth power = ((D sub K) to the kth power) (Z to the Kth power). By analogy with classical finite strain analysis; it is seen that when D is known, the true spatial configuration can always be extracted from the distorted image, and conversely, if the configuration of a set of base vectors in both images is specified, the components of D can be determined. An experimental procedure based upon this analysis has been developed and applied to the identification of multiple slip and kink traces in oblique Berg-Barrett topographs of polished metallographic samples. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1970
Accession Number
AD0717006

Entities

People

  • P. W. Kingman

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Diffraction
  • Distortion
  • Eccentricity
  • Geometry
  • Identification
  • Mathematics
  • Plane Geometry
  • Shape
  • Two Dimensional

Readers

  • Computational Modeling and Simulation
  • Graph Algorithms and Convex Optimization.
  • Materials Science and Engineering.