Open Access

ARTICLE

Exact Solutions of Finite Deformation for Everted Compressible Hyperelastic Cylindrical Tubes

by W. Zhao¹, X.G. Yuan¹, H.W. Zhang¹

1 School of Technology, State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology Dalian 116024, China.Email: zhaowei1982122@126.com
2 School of Science, Dalian Nationalities University Dalian 116600, China.
3 Corresponding author. E-mail: yxg1971@163.com

Computers, Materials & Continua 2014, 43(2), 75-86. https://doi.org/10.3970/cmc.2014.043.075

Abstract

The eversion problem for a class of compressible hyperelastic thinwalled cylindrical tubes is examined. The mathematical model is formulated as a second-order nonlinear ordinary differential equation based on the theory of nonlinear elasticity. The exact solution that describes the mechanism of the finite deformation of the everted cylindrical tube is obtained. Using numerical simulations, it is shown that the initial thickness of the tube plays a significant role in the eversion.

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