Efficient modification scheme of stress-strain tensor for wrinkled membranes

AIAA Journal

Volumn 43, Issue 1, 2005, Pages 206-215

  Nakashino, Kyoichi ^a,b   Natori, M C ^a,b  

^a JAPAN AEROSPACE EXPLORATION AGENCY   (Japan)

^b JAPAN AEROSPACE EXPLORATION AGENCY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTIC MODULI; FINITE ELEMENT METHOD; MEMBRANES; POISSON RATIO; STRAIN; STRESS ANALYSIS; TENSORS; VECTORS;

ANNULAR MEMBRANES; CONVECTED COORDINATES; STRESS-STRAIN TENSORS; WRINKLED MEMBRANES;

CHEMICAL MODIFICATION;

EID: 12744259974     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.7143     Document Type: Article

References (22)

1. Reissner, E., "On Tension Field Theory," Proceedings of the Fifth International Congress for Applied Mechanics, edited by J. P. den Hartog and H. Peters, Wiley, New York, and Chapman and Hall, Ltd., London, 1939, pp. 88-92.
2. Mansfield, E. H., "Load Transfer via a Wrinkled Membrane," Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences, Vol. 316, No. 1525, 1970, pp. 269-289.
3. Mikulas, M. M., "Behavior of a Flat Stretched Membrane Wrinkled by the Rotation of an Attatched Hub," NASA TN D-2456, Sept. 1964.
4. Miller, R. K., Hedgepeth, J. M., Weingarten, V. I., Das, P., and Kahyai, S., "Finite Element Analysis of Partly Wrinkled Membranes," Computers and Structures, Vol. 20, Nos. 1-3, 1985, pp. 631-639.
5. Liu, X., Jenkins, C. H., and Shur, W. W., "Large Deflection Analysis of Pneumatic Envelopes Using a Penalty Parameter Modified Material Model," Finite Elements in Analysis and Design, Vol. 37, No. 3, 2001, pp. 233-251.
6. Moriya, K., and Uemura, M., "An Analysis of the Tension Field After Wrinkling in Flat Membrane Structure," Proceedings of 1971 IASS Pacific Symposium, Part II on Tension Structures and Space Frames, edited by Y. Yokoo, Architectural Inst. of Japan, Tokyo, 1972, pp. 189-198.
7. Fujikake, M., Kojima, O., and Fukushima, S., "Analysis of Fabric Tension Structures." Computers and Structures, Vol. 32, Nos. 3/4, 1989, pp. 537-547.
8. Miyazaki, Y., and Nakamura, Y., "Dynamic Analysis of Deployable Cable-Membrane Structures with Slackening Members," Proceedings of 21st International Symposium on Space Technology and Science, edited by K. Uesugi, 21st ISTS Publication Committee, Omiya, Japan, 1998, pp. 407-412.
9. Roddeman, D. G., Drukker, J., Oomens, C. W., and Janssen, J. D., "The Wrinkling of Thin Membranes: Part I - Theory," Journal of Applied Mechanics, Vol. 54, No. 4, 1987, pp. 884-887.
10. Roddeman, D. G., Drukker, J., Oomens, C. W., and Janssen, J. D., "The Wrinkling of Thin Membranes: Part II - Numerical Analysis," Journal of Applied Mechanics, Vol. 54, No. 4, 1987, pp. 888-892.
11. Roddeman, D. G., "Finite-Element Analysis of Wrinkling Membranes," Communications in Applied Numerical Methods, Vol. 7, No. 4, 1991, pp. 299-307.
12. Muttin, F., "A Finite Element for Wrinkled Curved Elastic Membranes, and Its Application to Sail," Communications in Numerical Methods in Engineering, Vol. 12, No. 11, 1996, pp. 775-785.
13. Jeong, D. G., and Kwak, B. M., "Complementarity Problem Formulation for the Wrinkled Membrane and Numerical Implementation," Finite Elements in Analysis and Design, Vol. 12, No. 2, 1992, pp. 91-104.
14. Lu, K., Accorsi, M., and Leonard, J., "Finite Element Analysis of Membrane Wrinkling," International Journal for Numerical Methods in Engineering, Vol. 50, No. 5, 2001, pp. 1017-1038.
15. Schoop, H., Taenzer, L., and Hornig, J., "Wrinkling of Nonlinear Membranes," Computational Mechanics, Vol. 29, No. 1, 2002, pp. 68-74.
16. Baginski, F., and Collier, W., "Modeling the Shapes of Constrained Partially Inflated High-Altitude Balloons." AIAA Journal, Vol. 39, No. 9, 2001, pp. 1662-1672.
17. Pipkin, A. C., "Relaxed Energy Densities for Large Deformations of Membranes," IMA Journal of Applied Mathematics, Vol. 52, No. 3, 1994, pp. 297-308.
18. Ding, H., Yang, B., Lou, M., and Fang, H., "A Two-Viable Parameter Membrane Model for Wrinkling Analysis of Membrane Structures," AIAA Paper 2002-1460, April 2002.
19. Ding, H., Yang, B., Lou, M., and Fang, H., "New Numerical Method for Two-Dimensional Partially Wrinkled Membranes," AIAA Journal, Vol. 41, No. 1, 2003, pp. 125-132.
20. Kang, S., and Im, S., "Finite Element Analysis of Wrinkling Membranes," Journal of Applied Mechanics, Vol. 64, No. 2, 1997, pp. 263-269.
21. Hisada, T., and Noguchi, H., The Foundation and Applications of Nonlinear Finite Element Method, Maruzen, Tokyo, 1995, Chap. 3 (in Japanese).
22. Stein, M., and Hedgepeth, J. M., "Analysis of Partly Wrinkled Membranes," NASA TN D-813, July 1961.