Processing of a Hrtem Image Pattern to Analyze an Edge Dislocation

  • Federico M. Sciammarella
  • Cesar A. Sciammarella
  • Luciano Lamberti
Conference paper

Abstract

Dislocations were introduced in the theory of Elasticity to evaluate the possibility of multiple values in displacement fields. The initial work was done by Volterra [1] in the 1900’s who came with the basic types of dislocations that currently are used in theoretical elasticity. The argument was further elaborated by Love [2] in the 1920’s. In the 1930’s, dislocations re-appeared as an argument to explain the actual behavior of crystals upon deformations compared to theoretical results coming from crystalline structures [3, 4, 5]. In the 1960’s, using X-rays dislocations were visualized by reconstructing X-ray diffraction patterns. However, no efforts were made to numerically or analytically evaluate the observed patterns.

References

  1. 1.
    Volterra, V. Ann Ec. Norm., vol. 24, 1907,401MATHMathSciNetGoogle Scholar
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    Love, A.E.H. A treatise on the mathematical theory of elasticity, Cambridge, UK, 1927.Google Scholar
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    Taylor, G.I. Proc. Roy. Soc. of London, vol. A145, 1934, 362MATHCrossRefGoogle Scholar
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    Orowan, E., Z. Phys, vol. 89, 1934, 634CrossRefGoogle Scholar
  5. 5.
    Polanyii M.Z., Z. Phys, vol. 89, 1934, 660CrossRefGoogle Scholar

Copyright information

© Springer 2007

Authors and Affiliations

  • Federico M. Sciammarella
    • 1
    • 2
  • Cesar A. Sciammarella
    • 1
    • 2
  • Luciano Lamberti
    • 1
    • 2
  1. 1.Department of Mechanical, Materials and Aerospace EngineeringIllinois Institute of TechnologyChicagoUSA
  2. 2.Dipartimento di Ingegneria Meccanica e GestionalePolitecnico di BariItaly

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