The paper discusses nonlinear equations of in-plane bending of curved tubes formulated by E. Reissner in terms of two unknown functions and two unknown parameters. To solve the equations, a numerical method based on the finite-difference approximations and Newton–Raphson iteration technique is proposed. Deformations and stresses in tubes of circular and noncircular cross sections are studied for a wide range of geometrical parameters. The accuracy of the equations is evaluated by comparing the numerical results with predictions obtained by a special shell finite element.
Evaluation of Reissner’s Equations of Finite Pure Bending of Curved Elastic Tubes
Novosibirsk State Technical University,
Manuscript received July 1, 2013; final manuscript received September 3, 2013; accepted manuscript posted September 12, 2013; published online October 16, 2013. Assoc. Editor: George Kardomateas.
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Levyakov, S. (October 16, 2013). "Evaluation of Reissner’s Equations of Finite Pure Bending of Curved Elastic Tubes." ASME. J. Appl. Mech. April 2014; 81(4): 041014. https://doi.org/10.1115/1.4025414
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