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International Journal of Polymer Science
Volume 2017 (2017), Article ID 4183686, 9 pages
https://doi.org/10.1155/2017/4183686
Research Article

Mechanical Property Analysis of Circular Polymer Membrane under Uniform Pressure

School of Mechanical Engineering, Hebei University of Technology, Tianjin 300130, China

Correspondence should be addressed to Sang Jianbing

Received 15 May 2017; Revised 23 June 2017; Accepted 3 July 2017; Published 28 August 2017

Academic Editor: Angel Concheiro

Copyright © 2017 Sang Jianbing et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Mechanical property analysis of circular hyperelastic polymer membrane under uniform pressure has been researched in this work. The polymer membrane material is assumed to be homogeneous and isotropic and incompressibility of materials has been considered. Based on the modified stain energy function from Gao and nonmomental theory of axial symmetry thin shell, finite deformation analysis of polymer membrane under uniform pressure has been proposed in current configuration and governing equations of polymer membrane have been achieved. By utilizing the boundary condition, theoretical results of governing equations have been obtained and vertical displacement distribution and stress distribution have been achieved. The results show that the constitutive parameter has a strengthening effect on the polymer material and the constitutive parameter plays a controlling role for the second strain invariant , which also has a strengthening effect on the polymer material. This research has revealed the deformational mechanism of polymer membrane and provided reference for the design of polymer membrane.