Geodesic
Torsion of a circular cylinder at finite strain
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2015), pp. 19-23

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The strains in a long circular cylinder made of an incompressible material spinning under the conditions close to the conditions of plane deformation are determined for the case of a given displacement field using the matrix approach. The 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 direct and transposed matrices of the operator of deformation (stretching) is discussed. The strain tensor components are found. 
@article{VMUMM_2015_5_a3,
     author = {G. Z. Sharafutdinov},
     title = {Torsion of a circular cylinder at finite strain},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {19--23},
     publisher = {mathdoc},
     number = {5},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_5_a3/}
}
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G. Z. Sharafutdinov. Torsion of a circular cylinder at finite strain. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2015), pp. 19-23. http://geodesic.mathdoc.fr/item/VMUMM_2015_5_a3/