finite elastic deformations, axisymmetrical problems, hypoelasticity, logarithmic strain measure, rigid indentor

The results of solving of the problem about rigid spherical stamp indentation into the cylindrical body are presented in current investigation. The constitutive relations of three types were used within this paper. The influence of the corotational derivative type on stress-strain state characteristics was examined as well as the differences between the behavior of the elastic and the hypoelastic models in such processes were identifying. The formation of the constitutive relation for an elastic material using Hencky’s logarithmic tensor of deformation is proposed. The decomposition of the Hencky’s tensor and its monotone parameter derivative into the series in terms of powers of the Cauchy strain tensor is obtained without strain rate limitations. The numerical algorithm to take into account changes in a contact zone is built up. The computational procedures to discretize considered problem using finite element method and step-by- step loading method were realized into the software package. The obtained solutions were compared with commonly known analytical relations.

Astapov Yuri Vladimirovich e-mail: ast3x3@gmail.com, postgraduate student, Tula State Univercity, Tula.