Finite pure bending of circular cylindrical tubes
Authors:
Eric Reissner and H. J. Weinitschke
Journal:
Quart. Appl. Math. 20 (1963), 305-319
MSC:
Primary 73.65
DOI:
https://doi.org/10.1090/qam/148283
MathSciNet review:
148283
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Additional Information
L. G. Brazier, “On the flexure of thin cylindrical shells and other thin sections,” Proc. Roy. Soc. A, Vol. 116, 104–114 (1927)
- E. Reissner, On finite pure bending of cylindrical tubes, Österreich. Ing.-Arch. 15 (1961), 165–172. MR 0133979
- Herbert B. Keller and Edward L. Reiss, Iterative solutions for the non-linear bending of circular plates, Comm. Pure Appl. Math. 11 (1958), 273–292. MR 98504, DOI https://doi.org/10.1002/cpa.3160110302
G. L. Brown, “On the numerical solution of two simultaneous non-linear differential equations arising in elasticity,” M. S. Thesis, Mass. Inst, of Technology, June 1960
- Lothar Collatz, Numerische Behandlung von Differentialgleichungen, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, Bd. LX, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1955 (German). 2te Aufl. MR 0068908
L. G. Brazier, “On the flexure of thin cylindrical shells and other thin sections,” Proc. Roy. Soc. A, Vol. 116, 104–114 (1927)
E. Reissner, “On finite pure bending of cylindrical tubes,” Österr. Ing. Arch., Vol 15, 165–172 (1961)
H. B. Keller and E. L. Reiss, “Iterative solutions for the nonlinear bending of circular plates,” Comm. Pure Appl. Math., Vol. 11, 273–292 (1958)
G. L. Brown, “On the numerical solution of two simultaneous non-linear differential equations arising in elasticity,” M. S. Thesis, Mass. Inst, of Technology, June 1960
L. Collatz, “Numerische Behandlung von Differentialgleichungen” 2. Auflage, Springer 1955
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© Copyright 1963
American Mathematical Society
