Fundamental Concepts in Stress Analysis

Part of the Materials Research and Engineering book series (MATERIALS)


In this chapter the basic theorems of linear elasticity are reviewed, and some fundamental definitions in plasticity theory are discussed. These concepts form the basis of all types of stress analysis, and will be utilized in subsequent chapters for the analysis of the deformation distributions that cause residual stress fields.


Flow Curve Stress Analysis Slip Plane Fundamental Concept Unit Cube 
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  1. L.H. Schwartz and J.B. Cohen, “Diffraction from Materials”, Academic Press, New York, N.Y., 1977Google Scholar
  2. G.E. Dieter, “Mechanical Metallurgy”, 2nd. ed., McGraw-Hill, New York, N.Y., 1976Google Scholar
  3. T. Mura, “Micromechanics of Defects in Solids”, Martinus Nijhoff Publishers, Hague, The Netherlands, 1982CrossRefGoogle Scholar
  4. J.F. Nye, “Physical Properties of Crystals”, Oxford University Press, Oxford, Great Britain, 1976Google Scholar
  5. S.P. Timoshenko and N.J. Goodier, “Theory of Elasticity”, 3rd. ed., McGraw-Hill, New York, 1970Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  1. 1.Thomas J. Watson Research CenterIBMYorktown HeightsUSA
  2. 2.Dept. of Materials Science and Engineering, The Technological InstituteNorthwestern UniversityEvanstonUSA

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