Torsion of a Circular Cylinder at Finite Strain / G. Z. Sharafutdinov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2015. № 5. P. 19-23 [Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 107-111].

The strains of a long circular cylinder made of an incompressible material are determined for the case of a given displacement field using the matrix approach. The cylinder is spun under the conditions close to the conditions of plane deformation. Various approximations of strain matrices are considered. A generalized representation of these matrices in the form of the logarithm of a symmetric operator matrix obtained by multiplying the strain operator matrix by its transpose is discussed. The strain tensor components are found.

Key words: torsion of circular cylinder, incompressible material, finite and large strains, matrix method of determining strains, logarithmic strain.