Abstract
A characterization of the Almansi-Michell solution to the relaxed Almansi-Michell problem is established. This result leads to a simple derivation of the Almansi-Michell solution.
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SternbergE. and KnowlesJ.K., Minimum energy characterizations of Saint-Venant's solution to the relaxed Saint-Venant problem, Arch. Rational Mech. Anal., 21 (1966), 89.
LoveA.E.H., A Treatise on the Mathematical Theory of Elasticity, Fourth Edition, Dover, New York, 1944.
SokolnikoffI.S., Mathematical Theory of Elasticity, Second Edition, McGraw-Hill, New York, 1956.
AlmansiE., Sopra la deformazione dei cilindri sollecitati lateralmente, Rend. Accad. Lincei. Ser. 5, 10 (1901), 333.
AlmansiE., Sopra la deformazione dei cilindri sollecitati lateralmente, Rend. Accad. Lincei, Ser. 5, 10 (1901), 400.
MichellJ., The theory of uniformly loaded beams, Quart. J. Math., 32 (1901), 28.
IeşanD., On Almansi's problem for elastic cylinders, Atti Accad. Sci. Ist. Bologna Rc., Series 12, 9 (1972), 128.
IeşanD., Saint-Venant's problem for inhomogeneous and anisotropic elastic bodies, J. Elasticity, 6 (1976), 277.
GurtinM.E., The Linear Theory of Elasticity. In vol. VIa/2 of the Handbuch der Physik, edited by C. Truesdell, Springer, Berlin-Heidelberg-New York, 1972.
Milne-ThomsonL.M., Antiplane Elastic Systems, Springer, Berlin-Heidelberg-New York, 1962.
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Ieşan, D. On the theory of uniformly loaded cylinders. J Elasticity 16, 375–382 (1986). https://doi.org/10.1007/BF00041762
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DOI: https://doi.org/10.1007/BF00041762