Closed-form solution of axisymmetric deformation of prestressed Foppl-Hencky membrane under constrained deflecting
Yong-Sheng Lian,Jun-Yi Sun,Jiao Dong,Zhou-Lian Zheng,Zhi-Xin Yang
Abstract
In this study, the problem of axisymmetric deformation of prestressed Föppl-Hencky membrane under constrained deflecting was analytically solved and its closed-form solution was presented. The small-rotation-angle assumption usually adopted in membrane problems was given up, and the initial stress in membrane was taken into account. Consequently, this closed-form solution has higher calculation accuracy and can be applied for a wider range in comparison with the existing approximate solution. The presented numerical examples demonstrate the validity of the closed-form solution, and show the errors of the contact radius, profile and radial stress of membrane in the existing approximate solution brought by the small-rotation-angle assumption. Moreover, the influence of the initial stress on the contact radius is also discussed based on the numerical examples.
Yong-Sheng Lian, Jiao Dong and Zhi-Xin Yang — School of Civil Engineering, Chongqing University, Chongqing 400045, PR China
Jun-Yi Sun and Zhou-Lian Zheng — 1) School of Civil Engineering, Chongqing University, Chongqing 400045, PR China 2) Key Laboratory of New Technology for Construction of Cities in Mountain Area (Chongqing University), Ministry of Education, Chongqing 400045, PR China
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