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Conservation laws and prediction methods for stress concentration fields

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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.

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Authors and Affiliations

  1. Center of Engineering Sciences, Martin-Luther-Universität Halle-Wittenberg, 06099, Halle (Saale), Germany

    H. Altenbach, V. A. Eremeyev, A. Kutschke & K. Naumenko

Authors
  1. H. Altenbach
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  2. V. A. Eremeyev
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  3. A. Kutschke
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  4. K. Naumenko
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Corresponding author

Correspondence to H. Altenbach.

Additional information

Dedicated to our colleague and friend Prof. Dr.-Ing. Reinhold Kienzler in occasion of his sixtieth birthday.

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Altenbach, H., Eremeyev, V.A., Kutschke, A. et al. Conservation laws and prediction methods for stress concentration fields. Acta Mech 218, 349–355 (2011). https://doi.org/10.1007/s00707-010-0425-3

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  • DOI: https://doi.org/10.1007/s00707-010-0425-3

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