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A New Solution to Főppl-Hencky Membrane Equation

Published online by Cambridge University Press:  12 January 2017

Z. X. Yang ,
J. Y. Sun ,
G. M. Ran  and
X. T. He
Z. X. Yang
Affiliation:
School of Civil EngineeringChongqing UniversityChongqing, China Key Laboratory of New Technology for Construction of Cities in Mountain AreaChongqing UniversityMinistry of EducationChongqing, China
J. Y. Sun*
Affiliation:
School of Civil EngineeringChongqing UniversityChongqing, China Key Laboratory of New Technology for Construction of Cities in Mountain AreaChongqing UniversityMinistry of EducationChongqing, China
G. M. Ran
Affiliation:
School of Civil EngineeringChongqing UniversityChongqing, China Key Laboratory of New Technology for Construction of Cities in Mountain AreaChongqing UniversityMinistry of EducationChongqing, China
X. T. He
Affiliation:
School of Civil EngineeringChongqing UniversityChongqing, China Key Laboratory of New Technology for Construction of Cities in Mountain AreaChongqing UniversityMinistry of EducationChongqing, China
*
*Corresponding author (sunjunyi@cqu.edu.cn)
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Abstract

In this note, Föppl-Hencky membrane equation in the case of axisymmetric deformation was derived, and its power series solution was presented by using the displacement-based solution method. The result shows that both the displacement-based solution method and the stress-based solution method are effective for the solution to Föppl-Hencky equation. But in comparison with the latter, the former makes the solving process some more concise. In addition, some issues concerned were also discussed.

Keywords

Föppl-Hencky membraneAxisymmetric deformationPower series solutionDisplacement
Type
Technical Note
Information
Journal of Mechanics , Volume 33 , Issue 4 , August 2017 , pp. N7 - N11
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2016 

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