Abstract
A theory is proposed to determine the perturbation effects on the deformation of an elastic material due to the non-orthogonality of the curves defining the curvilinear aeolotropy of the material. Application is made to the finite extension and inflation of a circular cylindrical tube of such material, when the aeolotropy is referred to curves slightly displaced from those of a cylindrical polar net, the cylindrical symmetry being preserved. It is shown that no warping of the right sections of the tube occurs, but that the tube suffers an overall twist, which can be maintained by the application of transverse forces on the inner surface of the tube.
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