Evaluation of Tension Field Theory for Wrinkling Analysis With Respect to the Post-Buckling Study

2004 ◽  
Vol 71 (4) ◽  
pp. 532-540 ◽  
Author(s):  
T. Iwasa ◽  
M. C. Natori ◽  
K. Higuchi
Keyword(s):  
Field Theory ◽  
Comparative Study ◽  
Strain Energy ◽  
Bifurcation Theory ◽  
Boundary Constraints ◽  
Compressive Stresses ◽  
Wrinkling Analysis ◽  
Post Buckling ◽  
Tension Field Theory ◽  
Geometrical Boundary

A comparative study of two representative wrinkling theories, a bifurcation theory and a tension field theory, is carried out for quantitative evaluation of the tension field theory regarding wrinkling analysis. Results obtained from the bifurcation theory show the limitations of tension field theory on the wrinkling analysis. Existence of compressive stresses caused by wrinkling phenomena, which is not accounted for tension field theory, is quantitatively presented. Considering strain energy due to these compressive stresses and geometrical boundary constraints, it is clarified that there are regions, in which the tension field theory is not properly applied.

scholarly journals Experiment and Theoretical Analysis Study of ETFE Inflatable Tubes

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
YanLi He ◽  
WuJun Chen
Keyword(s):  
Field Theory ◽  
Theoretical Analysis ◽  
Bifurcation Theory ◽  
Experimental Results ◽  
Load Bearing Capacity ◽  
Analysis Study ◽  
Bending Load ◽  
Wrinkling Analysis ◽  
Tension Field Theory ◽  
Theory And Experiment

The load bearing capacity of an ETFE (ethylene-tetra-fluoro-ethylene) inflatable tube is tested in this paper, and a comparative study of two wrinkling theories, the bifurcation theory and the tension field theory, is carried out for wrinkling analysis of the ETFE inflatable tube. Results obtained from the bifurcation theory and experiment reveal the limitations of tension field theory on the wrinkling analysis. The load-displacement curves of inflatable beams under bending load are obtained and compared with the experimental results; curves obtained using the bifurcation theory show coincidence with experimental curves, but the curves obtained using the tension field theory have noticeable deviations between calculated and experimental results.

Load transfer via a wrinkled membrane

1970 ◽  
Vol 316 (1525) ◽  
pp. 269-289 ◽  
Keyword(s):  
Field Theory ◽  
Strain Energy ◽  
Load Transfer ◽  
Maximum Strain ◽  
Variational Technique ◽  
Membrane Structures ◽  
Wrinkled Membrane ◽  
Tension Field Theory ◽  
Principle Of Maximum

Various problems of planar load transfer from a tie or rod via a wrinkled membrane are considered within the framework of tension field theory. The tension rays, and hence the membrane stresses, are determined by a variational technique based on a principle of maximum strain energy. Results are of interest in the design of lightweight stretched membrane structures.

Wrinkling Analysis of Stiffness Equivalence in Membrane Structures

2010 ◽  
Vol 163-167 ◽  
pp. 1976-1979
Author(s):  
Ran Zhao ◽  
De Min Wei
Keyword(s):  
Field Theory ◽  
Membrane Structure ◽  
New Method ◽  
Analysis Method ◽  
Equivalent Stiffness ◽  
Membrane Structures ◽  
Wrinkling Analysis ◽  
Tension Field Theory

Based on the tension field theory, a wrinkling analysis method of equivalent stiffness was proposed. The new method was derived and the feasibility was theoretically proved. And a membrane structure was analyzed by the method. The results show that the correct load responses could be quickly attained right after appearance of wrinkled elements, which indicate that the method can be applied to wrinkling analysis of membrane structures.

A comparative study on the effects of boundary constraints on electromagnetic sheet forming

2018 ◽  
Vol 101 (9-12) ◽  
pp. 2785-2793 ◽  
Author(s):  
Ning Liu ◽  
Zhipeng Lai ◽  
Quanliang Cao ◽  
Xiaotao Han ◽  
Yujie Huang ◽  
...  
Keyword(s):  
Comparative Study ◽  
Sheet Forming ◽  
Boundary Constraints ◽  
Electromagnetic Sheet Forming

The Strain Energy Tuning of the Shape Memory Alloy on the Post-Buckling of Composite Plates Using Finite Element Method

2012 ◽  
Vol 445 ◽  
pp. 577-582
Author(s):  
Zainudin A. Rasid ◽  
Saiful Amri Mazlan ◽  
Amran Ayob ◽  
Rizal Zahari ◽  
Dayang Laila Majid ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Shape Memory Alloy ◽  
Shape Memory ◽  
Strain Energy ◽  
Composite Plates ◽  
Post Buckling ◽  
Energy Tuning ◽  
Element Method

scholarly journals A Finite Element Model for the Analysis of Wrinkled Membrane Structures

2003 ◽  
Vol 18 (1) ◽  
pp. 1-14 ◽  
Author(s):  
René Ziegler ◽  
Werner Wagner ◽  
Kai-Uwe Bletzinger
Keyword(s):  
Finite Element ◽  
Quadratic Convergence ◽  
Element Model ◽  
Significant Progress ◽  
Membrane Structures ◽  
Wrinkling Analysis ◽  
Convergence Behaviour ◽  
Consistent Linearization ◽  
Wrinkled Membrane ◽  
Tension Field Theory

The problem of wrinkling in membrane structures has been a field of research since the publication of the tension field theory for plane structures. Significant progress in wrinkling analysis of arbitrarily shaped membranes has been made with the development of numerical methods. In the paper we present the enhancements of a standard finite element membrane formulation which allow to depict the wrinkles within the plane of the structure. A mathematical-numerical method is derived, which describes a valid stress state by minimising the differences in the stress density function while observing the wrinkling conditions. A consistent linearization of the proposed algorithms ensures quadratic convergence behaviour.

Sign in / Sign up

Export Citation Format

Share Document