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.
Evaluation of Tension Field Theory for Wrinkling Analysis With Respect to the Post-Buckling Study
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the Applied Mechanics Division, May 1, 2003; final revision, Jan. 30, 2004. Associate Editor: Z. Suo. Discussion on the paper should be addressed to the Editor, Prof. Robert M. McMeeking, Journal of Applied Mechanics, Department of Mechanical and Environmental Engineering, University of California-Santa Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication in the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Iwasa, T., Natori, M. C., and Higuchi, K. (September 7, 2004). "Evaluation of Tension Field Theory for Wrinkling Analysis With Respect to the Post-Buckling Study ." ASME. J. Appl. Mech. July 2004; 71(4): 532–540. https://doi.org/10.1115/1.1767171
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