On the torsion of soft cylindrical shells

1 Experimental Evidence 22 Rods with Deformable Cross Sections 33 Kinematics 44 Dynamics 65 Constitutive Prescriptions 75.1 Constitutive Requirements . . . . . . . . . . . . . . . . . . . . . . . . 75.2 Constitutive Recipe . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 Analysis 11NoteThis is a revised version of a paper included in the Proceedings of the Symposium onTrends in Applications of Mathematics to Mechanics held in Nice from the 25th tothe 29th of May, 1998 (STAMM98), where we presented a preliminary version of ourwork as a poster, under the title “Modelling of elastic pipes as rods with deformablecross sections”. The Proceedings, edited by G´erard Iooss, will be published in thePitman Series “Interaction of Mechanics and Mathematics”.The text of this reprint differs from the paper only in three places. A minormisprint has been corrected in the first paragraph of Subsection 5.2, while a grossmistake has been eradicated from the close of Section 6, whose last paragraph hasbeen modified to a substantial degree; finally, the bibliography soberly acknowledgesour present vaguer forecast for the appearance of [6].