Summary
The coupled axisymmetric problem of a periodically supported circular cylindrical shell bonded to a cylindrical cavity in an infinite isotropic, homogeneous elastic body is investigated. Explicit expressions for the resulting Fourier coefficients are obtained and convergence of the solution is established. Numerical results for two different shell materials in contact with a typical geologic formation are presented.
Zusammenfassung
Das gekoppelte, achsensymmetrische Problem einer periodisch gestützten, kreiszylindrischen Schale, die mit einem zylindrischen Hohlraum eines unendlichen, isotropen, homogenen, elastischen Raumes verbunden ist, wird behandelt. Explizite Ausdrücke für die resultierenden Fourierkoeffizienten werden erhalten und die Konvergenz der Lösung nachgewiesen. Es werden numerische Ergebnisse für zwei verschiedene Schalenmaterialien in Verbindung mit typischen geologischen Formationen präsentiert.
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This article sponsored by the U.S.Department of Energy under Contract DE-AC04-76-DP00789.
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Warren, W.E. Interaction of a cylindrical cavity with a periodically supported thin shell liner. Acta Mechanica 38, 199–208 (1981). https://doi.org/10.1007/BF01176464
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DOI: https://doi.org/10.1007/BF01176464