Hostname: page-component-745bb68f8f-s22k5 Total loading time: 0 Render date: 2025-01-28T10:07:20.947Z Has data issue: false hasContentIssue false
  • English
  • Français

Design of Functionally Graded Composite Structures for Control of Stress

Published online by Cambridge University Press:  14 March 2011

Robert Lipton  and
Ani Velo
Robert Lipton
Affiliation:
Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, U.S.A.
Ani Velo
Affiliation:
Mathematical Sciences Department, United States Military Academy, West Point, NY 10996, U.S.A.
Get access

Abstract

In this paper a methodology is introduced for the design of structural components made from composite materials for the control of stress. A numerical method is developed for designing functionally graded materials with minimum stress in prescribed sub-domains inside the structure.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 702: Symposium U – Advanced Fibers, Plastics, Laminates and Composites , 2001 , U10.4.1
Copyright
Copyright © Materials Research Society 2002

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Koizumi, M., Composites Part B 28 B, 1–4 (1997).Google Scholar
2. Glasser, A. M., Composites Part B 28 B, 71–84 (1997).Google Scholar
3. Markworth, A. J., Ramesh, K. S. and Parks, W. P., Journal of Materials Science 30, 2183–2193 (1995).Google Scholar
4. Ootao, Y., Tanigawa, Y. and Ishimaru, O., Journal of Thermal Stresses 23, 257–271 (2000).Google Scholar
5. Aboudi, J., Pindera, M. J. and Arnold, S. M., Composites Part B 28B, 93–108 (1997).Google Scholar
6. Bensoussan, A., Lions, J. L. and Papanicolaou, G., Asymptotic Analysis for Periodic Structures, (North-Holland, Amsterdam, 1978).Google Scholar
7. Murat, F. and Tartar, L., “H-Convergence,” Topics in the Mathematical Modeling of Composite Materials, ed. Cherkaev, A. and Kohn, R.V. (Berkhauser 1997) pp.21–43.Google Scholar
8. Lipton, R. and Velo, A., “Optimal design of gradient fields with applications to electrostatics”, Nonlinear Partial Differential Equations and Their Applications, Seminaire du College de France J.L. Lions, ed. Ciarlet, P.G. et Lions, P.L. (Elsevier-Gauthier-Villars 2002).Google Scholar
9. Velo, A., PhD. Thesis, Worcester Polytechnic Institute, 2000.Google Scholar
10. Lipton, R., Journal of Optimization Theory and Applications, to appear (2002).Google Scholar