Torsion of hollow cylinders
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References
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A. G. Greenhill, Fluid motion between confocal elliptic cylinders and confocal ellipsoids, Quart. J. Math. Oxford Ser. vol. 16 (1879) pp. 227-256.
A. E. H. Love, A treatise on the mathematical theory of elasticity, 4th edition, London, 1927, pp. 310-328.
H. M. Macdonald, On the torsional strength of a hollow shaft, Proc. Cambridge Philos. Soc. vol. 8 (1893) pp. 62-68.
- Rosa M. Morris, The internal problems of two dimensional potential theory, Math. Ann. 117 (1939), 31–38. MR 1154, DOI 10.1007/BF01450006 N. Muschelisvilli, Sur le problème de torsion des cylindres elastique isotropes, Rendiconti della Reale Accademia die Lincei (6) vol. 9 (1929) pp. 295-300. B. R. Seth, On the general solution of a class of physical problems, Philosophical Magazine (7) vol. 20 (1935) pp. 632-640.
- I. S. Sokolnikoff and E. S. Sokolnikoff, Torsion of regions bounded by circular arcs, Bull. Amer. Math. Soc. 44 (1938), no. 6, 384–387. MR 1563753, DOI 10.1090/S0002-9904-1938-06759-6 A. C. Stevenson, Flexure with shear and associated torsion in prisms of uni-axial and asymmetric cross-sections, Transactions of the Royal Society of London (A) vol. 237 (1938) pp. 161-229. E. Trefftz, Über die Torsion prismatische Stäbe von polygonalem Querschnitt, Math. Ann. vol. 82 (1921) pp. 97-112. H. Villat, Le problème de Dirichlet dans une aire annulaire, Rend. Circ. Mat. Palermo vol. 33 (1912) pp. 134-173; p. 147. E. Weinel, Das Torsionsproblem für den exzentrischen Kriesring, Ingenieur Archiv vol. 3 (1932) pp. 67-75. L. Prandtl, Zur Torsion von prismatischen Stäben, Physikalische Zeitschrift, vol. 4 (1903) pp. 758-770. A. A. Griffith and G. I. Taylor, The use of soap films in solving torsion problems, Reports and Memoranda, (n.s.), no. 333, June 1917. Technical Report of the Advisory Committee for Aeronautics (British) for 1917-1918, vol. 3. G. W. Trayer and H. W. March, The torsion of members having sections common in aircraft construction, National Advisory Committee for Aeronautics, report no. 334, 1930.
Additional Information
- © Copyright 1943 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 53 (1943), 1-13
- MSC: Primary 73.2X
- DOI: https://doi.org/10.1090/S0002-9947-1943-0010115-7
- MathSciNet review: 0010115