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Transactions of the American Mathematical Society

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Flexure


Author: L. M. Milne-Thomson
Journal: Trans. Amer. Math. Soc. 90 (1959), 143-160
MSC: Primary 73.00
DOI: https://doi.org/10.1090/S0002-9947-1959-0102219-7
MathSciNet review: 0102219
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  • [1] Rosa M. Morris, Some general solutions of St. Venant’s flexure and torsion problem. I, Proc. London Math. Soc. (2) 46 (1940), 81–98. MR 0001163, https://doi.org/10.1112/plms/s2-46.1.81
  • [I] I. S. Sokolnikoff, Mathematical theory of elasticity, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1956. 2d ed. MR 0075755
  • [A] C. Stevenson, Flexure with shear and associated torsion in prisms of uniaxial and asymmetric cross-sections, Philos. Trans. Royal Soc. London (A) vol. 237 (1939) pp. 161-229.
  • [L] L. A. Wigglesworth, Flexure and torsion of a circular shaft with two cracks, Proc. London Math. Soc. (2) 47 (1940), 20–37. MR 0003792, https://doi.org/10.1112/plms/s2-47.1.20
  • [2] A. E. H. Love, Treatise on the mathematical theory of elasticity, 4th ed., Cambridge, 1934, Chapter XV.
  • [3] -, Ibid, Article 54.
  • [4] E. Beltrami, R. Accad. Lincei Rendiconti (5) vol. 1 (1892) pp. 141-142. L. M. Milne-Thomson, Consistency equations for the stress in isotropic elastic and plastic materials, Jour. London Math. Soc. vol. 17 (1942) page 121.
  • [5] L. M. Milne-Thomson, Theoretical hydrodynamics, The Macmillan Company, New York, 1956. 3rd ed. MR 0075724
  • [6] -, Ibid, §5.59.
  • [7] I. S. Sokolnikoff, op. cit. supra, p. 227.

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DOI: https://doi.org/10.1090/S0002-9947-1959-0102219-7
Article copyright: © Copyright 1959 American Mathematical Society