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Energy inequalities and error estimates for torsion of elastic shells of revolution

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Zusammenfassung

Das dreidimensionale Problem der Bestimmung der Spannungen und Verschiebungen in einer elastischen, rotations-symmetrischen Schale unter axisymmetrischer Torsion kann auf ein Randwertproblem vom Neumannschen Typ für einen elliptischen Operator zweiter Ordnung zurückgeführt werden. Methoden, die auf Energieungleichungen basiert sind, werden verwendet, um die Fehler abzuschätzen, die entstehen, wenn diese Spannungen und Verschiebungen in einer dünnen Schale mit Hilfe der Ergebnisse der Schalentheorie annähernd berechnet werden.

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References

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Authors and Affiliations

  1. Science Center, North American Rockwell Corp., Thousand Oaks, California

    Chee-Leung Ho

  2. California Institute of Technology, Pasadena, California, USA

    James K. Knowles

Authors
  1. Chee-Leung Ho
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  2. James K. Knowles
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Ho, CL., Knowles, J.K. Energy inequalities and error estimates for torsion of elastic shells of revolution. Journal of Applied Mathematics and Physics (ZAMP) 21, 352–377 (1970). https://doi.org/10.1007/BF01627942

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  • DOI: https://doi.org/10.1007/BF01627942

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