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Reissner-Sagoci problem for non-classical domains

Das Reissner-Sagoci-Problem für nichtelliptische Stempel

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Summary

The problem of torsion of a transversely isotropic elastic half-space by a punch of general planform is considered. An approximate analytical solution is derived by a method based on some new results in potential theory obtained by the author earlier. A general relationship is established between the torque and the torsion angle. Some specific formulae are derived for punches having the planform of a polygon, a rectangle, a rhombus and a cross.

Übersicht

Behandelt wird das Problem der Torsion eines transversal-isotropen elastischen Halbraums durch einen Stempel mit beliebiger ebener Stirnfläche. Gewonnen wird eine analytische Näherungslösung, die auf neueren Resultaten des Autors in der Potentialtheorie beruht. Eine allgemeine Beziehung zwischen Torsionsmoment und -winkel wird aufgestellt. Für Stempel mit polygonaler, rechteckiger, rhombischer bzw. kreuzförmiger Stirnfläche werden spezielle Formeln angegeben.

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Authors and Affiliations

  1. Dept. of Mechanical Engineering, Concordia University, 1455 de Maisonneuve Blvd., H3G 1M8, West Montreal, Quebec, Canada

    V. I. Fabrikant

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  1. V. I. Fabrikant
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Fabrikant, V.I. Reissner-Sagoci problem for non-classical domains. Ing. arch 59, 422–433 (1989). https://doi.org/10.1007/BF00534309

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  • DOI: https://doi.org/10.1007/BF00534309

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