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IssuesArchive of Issues2008-5pp.733-745

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V. V. Mironov and E. I. Mikhailovskii, "Estimates of the influence of the transverse strain in a contact problem with free boundary," Mech. Solids. 43 (5), 733-745 (2008)
Year 2008 Volume 43 Number 5 Pages 733-745
DOI 10.3103/S0025654408050075
Title Estimates of the influence of the transverse strain in a contact problem with free boundary
Author(s) V. V. Mironov (Syktyvkar State University, Oktyabrskii pr-t 55, Syktyvkar, Komi, 167001, Russia, mironov_v@list.ru)
E. I. Mikhailovskii (Syktyvkar State University, Oktyabrskii pr-t 55, Syktyvkar, Komi, 167001, Russia, emich@syktsu.ru)
Abstract We use the contact problem with free boundary for a "heavy cylindrical shell-over-support reinforcement ring" system as an example to study the influence of transverse shear on the stress state in the shell. To obtain the equilibrium equations for the shell and the reinforcement ring, we apply an express algorithm developed by one of the authors to take into account transverse strains in Kirchhoff versions of the theory of shells. The contact problem with free boundary is solved by the generalized reaction method proposed earlier. We use numerical examples to show that the corrections introduced in the stress state by taking into account the transverse shears are by an order of magnitude larger than the traditional estimate of errors in the Kirchhoff hypotheses.
Received 11 July 2005
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