Mechanics of Composite Materials

, Volume 52, Issue 6, pp 843–854 | Cite as

An Analysis of Form Changes of a Toroidal Body with a Meridional Arrangement of Fibers on the Basis of the Two-Level Carcass Theory and of a Homogeneous Body Congruent to It


Results of an analysis of form changes of a toroidal body highly filled with fibers at large torsional deformations and rotational motions are presented. The body is reinforced in the meridional direction. The investigation was carried out by using the two-level carcass theory of fibrous media at large deformations, according to which the macroscopic fields of a reinforced body are determined by its internal fields. These fields are represented by the material configurations of nodal material blocks of the body, for which, on the basis of the model of a piecewise homogeneous medium, boundary-values problems of the micromechanical level of the theory are solved. The results obtained are compared with those for a homogeneous body. The congruent deformation of the homogeneous body at which its initial form and dimensions are practically restored upon superposition of torsion and rotation is determined.


two-level carcass theory displacements large deformations stresses toroidal body meridional reinforcement 


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© Springer Science+Business Media New York 2017

Authors and Affiliations

  1. 1.National Metallurgical Academy of UkraineDnepropetrovskUkraine

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