Inflation analyses of a circular elastomeric membrane with hydrostatic pressure

作     者：Zhongkai Zhang Jianbing Sang Yunjiao Zhang 

作者机构：School of Mechanical EngineeringHebei University of TechnologyTianjin 300130China School of Mechanical EngineeringTianjin UniversityTianjin 300072China 

出 版 物：《Theoretical & Applied Mechanics Letters》 (力学快报（英文版）)

年 卷 期：2012年第2卷第6期

页      面：15-18页

学科分类：08[工学] 080401[工学-精密仪器及机械] 0804[工学-仪器科学与技术] 081102[工学-检测技术与自动化装置] 0811[工学-控制科学与工程] 0801[工学-力学（可授工学、理学学位）] 080102[工学-固体力学] 

基　　金：supported by the Natural Science Foundation of Tianjin,China (12JCYBJC19600) the Natural Science Foundation of Hebei Province,China(E2011202115) 

主　　题：elastomer membrane hydrostatic pressure cell mechanics 

摘      要：Composite diaphragm inflation （CDI） experiment is a useful methodology for exploring the mechanics relation of cell-cell junctions within a living epithelial sheet. In this paper, a new methodology of CDI experiment has been put forward. The finite deformation of a circular polydimezhylsiloxane elastomeric membrane, which is used as the substrate for the culture of epithelial cells, under hydrostatic pressure is explored by the theory of non-linear continuum mechanics. The simplified governing equations with minimum amount of differential equations and boundary conditions are obtained and solved by multiple shooting method. The influences on the membrane by hydrostatic pressure have been discussed.