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Acta Mechanica Solida Sinica

, Volume 25, Issue 2, pp 144–151 | Cite as

Finite Deformation of a Class of Rectangular Rubber Rings Subjected to end Axial Loads

  • Wenzheng Zhang
  • Xuegang Yuan
  • Hongwu Zhang
  • Jiusheng Ren
Article

Abstract

The problem of finite deformation of an incompressible rectangular rubber ring with an internal rigid body, where the ring is subjected to equal axial loads at its two ends, is examined. A reasonable mathematical model is formulated by using the nonlinear field theory and the implicit analytical solutions are derived. Then numerical simulations are implemented to further illustrate the results and obtain some meaningful conclusions. The deformation of the lateral surface of the ring becomes larger with the increasing axial loads, the decreasing ratio of the inner and outer radii and the increasing height of the ring.

Key words

neo-Hookean material rectangular rubber ring axial load finite deformation implicit analytical solution 

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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2012

Authors and Affiliations

  • Wenzheng Zhang
    • 1
  • Xuegang Yuan
    • 1
    • 2
  • Hongwu Zhang
    • 1
  • Jiusheng Ren
    • 3
  1. 1.State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Faculty of Vehicle Engineering and MechanicDalian University of TechnologyDalianChina
  2. 2.School of ScienceDalian National UniversityDalianChina
  3. 3.Shanghai Institute of Applied Mathematics and MechanicsShanghai UniversityShanghaiChina

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