Abstract
Currently, various variants of physical and geometrical non-linear calculation of anisotropic bodies have been developed. In spite of the large and increasing number of studies on the theory of shells there are still many unsufficiently developed problems important both in scientific and applied fields, for example, development of practically convenient methods for calculating of anisotropic sealing composite materials weakened by eccentric holes under the influence of local loadings. Stress-deformed state of a packing ring with eccentric holes of sealing materials was studied. In composite materials, the Hooke’s equation was used for this purpose. Also, using Lurie’s symbolic method, the concrete solution of the sealing problem with eccentric holes was obtained.