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


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.


Notch Root Eshelby Tensor Stress Concentration Zone Comparison Body Linear Elastic Body 
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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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