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BRIEF NOTES

Determination of Loads in an Inextensible Network According to Geometry of Its Wrinkles

[+] Author and Article Information
Cheng Luo

Biomedical Engineering and Institute for Micromanufacturing, Louisiana Tech University, 911 Hergot Avenue, Ruston, LA 71272 e-mail: chengluo@latech.edu

J. Appl. Mech 71(2), 298-300 (May 05, 2004) (3 pages) doi:10.1115/1.1651094 History: Received June 02, 2003; Revised September 19, 2003; Online May 05, 2004
Copyright © 2004 by ASME
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References

Cerda,  E., and Mahadevan,  L., 2003, “Geometry and Physics of Wrinkling,” Phys. Rev. Lett., 90, 074302.
Cerda,  E., Ravi-Chandar,  K., and Mahadevan,  L., 2002, “Thin Films: Wrinkling of an Elastic Sheet Under Tension,” Nature (London), 419, pp. 579–580.
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Hilgers,  M. G., and Pipkin,  A. C., 1996, “Bending Energy of Highly Elastic Membranes II,” Q. Appl. Math., 54, pp. 307–316.
Hilgers,  M. G., and Pipkin,  A. C., 1997, “Plane Infinitesimal Waves in Elastic Sheets With Bending Stiffness,” Math. Mech. Solids, 2, pp. 75–89.
Luo, C., and Steigmann, D. J., 2001, “Bending and Twisting Effects in the Three-Dimensional Finite Deformations of an Inextensible Network,” Advances in the Mechanics of Plates and Shells, Kluwer Academic Publishers, Boston, pp. 213–228.
Synge, J. L., and Griffith, B. A., 1949, Principles of Mechanics, Second Ed., McGraw-Hill, New York, pp. 370–372.
Timoshenko, S., 1936, Theory of Elastic Stability, First Ed., McGraw-Hill, New York, pp. 69–75.

Figures

Grahic Jump Location
Top view of the flat sheet before wrinkling
Grahic Jump Location
Side view of a possible deformed configuration of the sheet
Grahic Jump Location
(a) Side view of a possible deformed configuration of the sheet in Case (i), and (b) its equivalent state in a simple pendulum

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