Abstract
In this chapter we investigate the deformation of cylindrical linearly elastic shells using the Koiter model. We formulate and solve the relaxed Saint-Venant’s problem for thin cylindrical tubes made of isotropic and homogeneous elastic materials. We present a general solution procedure to determine closed-form solutions for the extension, bending, torsion and flexure problems. To this aim, we employ a method established in the three-dimensional theory of elasticity and determine the corresponding Saint-Venant’s solutions for shells [7]. Finally, the special case of circular cylindrical shells is discussed in details.
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Steigmann, D.J., Bîrsan, M., Shirani, M. (2023). Saint-Venant Problem for General Cylindrical Shells. In: Lecture Notes on the Theory of Plates and Shells. Solid Mechanics and Its Applications, vol 274. Springer, Cham. https://doi.org/10.1007/978-3-031-25674-5_8
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