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