Form Changes of a Toroidal Body with a Crossed Arrangement of Fibers on the Basis of the Two-level Carcass Theory

Form changes of a cross-reinforced toroidal body under butt-end torsion and rotation are investigated on the basis of carcass theory of fibrous media at large deformations, including macro- and micromechanical levels of analysis. The form changes are considered as the result of external loadings specified by the field of carcass displacements. This field, which is an integral manifestation of internal fields of the body during its deformation, is determined on the macrolevel. The internal fields are found by solving boundary-value problems on the micromechanical level for the nodal blocks of material on the basis of the model of a piecewise homogeneous medium. Configurations of the body at the values of torsion angle and rotational speed close to limiting ones are presented. The configurations of material blocks in the deformed body, which reflect its internal fields, are illustrated. The regions of folding in the binder close to butt-end sections, where the body is connected with nondeformable shafts, are revealed.