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Acta Mechanica

, Volume 218, Issue 3–4, pp 349–355 | Cite as

Conservation laws and prediction methods for stress concentration fields

  • H. Altenbach
  • V. A. Eremeyev
  • A. Kutschke
  • K. Naumenko
Article

Abstract

Starting with the Eshelby-type conservation law, path-independent line and surface integrals that allow the comparison of averaged strain-energy densities in the notch area for linear elastic and non-linear elastic material behaviors are derived. The analysis shows that a point (two-dimensional problems) and a curve (three-dimensional problems) exist on the notch boundary, where the values of the strain-energy densities are almost the same. The conditions are discussed, for which the equality of the strain energies is guaranteed. The theoretical results are illustrated by two finite-element examples.

Keywords

Notch Root Eshelby Tensor Stress Concentration Zone Comparison Body Linear Elastic Body 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • H. Altenbach
    • 1
  • V. A. Eremeyev
    • 1
  • A. Kutschke
    • 1
  • K. Naumenko
    • 1
  1. 1.Center of Engineering SciencesMartin-Luther-Universität Halle-WittenbergHalle (Saale)Germany

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