Skrypochka T. 3. The large deformations of homogeneous elastic cylinders and elastic cylinders reinforced by the filaments.

Тhe objects are homogeneous and regularly reinforced by fibres round cylinders from elastic materials at large deformations. The aim is the construction and application of methods of decision of tasks flat and axisymmetrical deformations of homogeneous and reinforced by filaments elastic cylinders at large deformations, construction of numeral algorithms and software, and also realization of researches homogeneous, and with the different charts of re-enforcement of cylindrical bodies at large deformations. The mathematical models of the coaxial torsion and the axial shear of cylinders made of the homogeneous elastic materials and ones reinforced by the systems of filaments compressible and under-compressible under the large deformations are developed in thesis. Found out an effect opposite to the Poynting effect when there appear the axial powers of tension in the cross-sections of coaxially torsioned cylinder. The limit configuration states of cylinders are revealed. There was found out the effect that the tensions of reductions at the main duct in case of tightness are practically equal to the tensions of reductions at the outward duct in case of the deformation of limited depressurization. The problem of axisymmetric deformation of the homogeneous elastic cylinders and the ones reinforced by the filaments under the large deformations is solved. The applications of the built models of planar deformation of the homogeneous elastic cylinders and the ones reinforced by the filaments are found on the basis of numeral realization of the given problem. Application spheres are training courses, development and approbation of numeral methods for the elastomeric cylindrical bodies.