Acta Mechanica

, Volume 230, Issue 11, pp 4137–4143 | Cite as

Universal solution of nonlinear elasticity for a hollow cylinder with prestressed coatings

  • Leonid M. ZubovEmail author
Original Paper


The problem of large deformations of a composite nonlinear elastic hollow cylinder subjected to internal and external pressures and loaded at the ends by axial force and torque is considered. The composite cylinder is a tube with internal and external coatings in the form of prestressed hollow circular cylinders. The exact solution of the problem, which is valid for any models of isotropic incompressible elastic materials, is found.


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Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Mathematics, Mechanics and Computer ScienceSouthern Federal UniversityRostov-on-DonRussia

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