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On the Somigliana dislocations associated with applications of the Neuber–Papkovich solution in multiply-connected regions

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Summary

The study aims to explain the problem of single-valuedness of the mean stress and dilatation in multiply-connected regions. It is shown that in multiply-connected regions, displacement representation potentials, in particular the Neuber–Papkovich potentials, have to be submitted to the integral conditions in order to avoid the many-valuedness.

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Authors and Affiliations

  1. Faculty of Civil Engineering, Technion – Israel Institute of Technology, Technion City, Haifa 32 000, Israel, , , , , , IL

    J. J. Golecki

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  1. J. J. Golecki
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Received 8 September 1998; accepted for publication 8 April 1999

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Golecki, J. On the Somigliana dislocations associated with applications of the Neuber–Papkovich solution in multiply-connected regions. Archive of Applied Mechanics 70, 269–277 (2000). https://doi.org/10.1007/s004199900037

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  • DOI: https://doi.org/10.1007/s004199900037

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