Flexure
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- by L. M. Milne-Thomson PDF
- Trans. Amer. Math. Soc. 90 (1959), 143-160 Request permission
References
- 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 1163, DOI 10.1112/plms/s2-46.1.81
- I. S. Sokolnikoff, Mathematical theory of elasticity, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1956. 2d ed. MR 0075755 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. A. Wigglesworth, Flexure and torsion of a circular shaft with two cracks, Proc. London Math. Soc. (2) 47 (1940), 20–37. MR 3792, DOI 10.1112/plms/s2-47.1.20 A. E. H. Love, Treatise on the mathematical theory of elasticity, 4th ed., Cambridge, 1934, Chapter XV. —, Ibid, Article 54. 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.
- L. M. Milne-Thomson, Theoretical hydrodynamics, The Macmillan Company, New York, 1956. 3rd ed. MR 0075724 —, Ibid, §5.59. I. S. Sokolnikoff, op. cit. supra, p. 227.
Additional Information
- © Copyright 1959 American Mathematical Society
- 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