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Stress singularity at a sharp edge in contact problems with friction

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Abstract

The paper discusses the nature of the singularity that arises at a sharp edge in contact problems with friction. The theoretical treatment is based on the Mellin transform of the elastic fields. The results regarding the power singularities confirm the previous work of Gdoutos and Theocaris, but it is shown that logarithmic singularities are always present. Some experimental observations in photoelasticity are also presented.

Zusammenfassung

Die Art der Spannungssingularität, die an einer scharfen Ecke in Berührungsproblemen erscheint, ist für den Fall mit Reibung untersucht. Die theoretische Behandlung stützt sich auf die Mellin-Transformation der elastischen Felder. Die Ergebnisse bezüglich der Potenzsingularitäten bestätigen die früheren Resultate von Gdoutos und Theocaris. Es wird jedoch gezeigt, daß logarithmische Singularitäten stets anwesend sind. Auch einige Beobachtungen von photoelastischen Versuchen sind dargestellt.

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References

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Authors and Affiliations

  1. Dept. of Applied Mechanics and Engineering Sci., The University of Michigan, Ann Arbor, Michigan, USA

    Maria Comninou

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  1. Maria Comninou
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Comninou, M. Stress singularity at a sharp edge in contact problems with friction. Journal of Applied Mathematics and Physics (ZAMP) 27, 493–499 (1976). https://doi.org/10.1007/BF01594906

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  • DOI: https://doi.org/10.1007/BF01594906

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