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Deflection Shapes Due to Intrinsic Stress in Thin Films

Published online by Cambridge University Press:  16 February 2011

Christine B. Masters ,
N. J. Salamon  and
D. E. Fahnline
Christine B. Masters
Affiliation:
The Pennsylvania State University, Engineering Science and Mechanics Department, University Park, PA 16802
N. J. Salamon
Affiliation:
The Pennsylvania State University, Engineering Science and Mechanics Department, University Park, PA 16802
D. E. Fahnline
Affiliation:
The Pennsylvania State University, Materials Research Laboratory, University Park, PA 16802
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Abstract

The curvatures of thin film/substrate systems are obtained for a nonlinear plate deflection model using a Galerkin minimization procedure proposed by Hyer. A fifth order polynomial involving the curvatures is given. The results show that the linear models of Stoney and Brenner and Senderoff apply only at low stress states and that stable and unstable configurations develop at higher stresses even for isotropic systems.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 188: Symposium K – Thin Films: Stresses and Mechanical Properties II , 1990 , 21
Copyright
Copyright © Materials Research Society 1990

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References

REFERENCES

1. Hoffman, R.W., Surface and Interface Analysis 3 (1), 62–67 (1981).Google Scholar
2. D'Heurle, F. M. and Harper, J.M.E., Thin Solid Films, 81–92 (1989).Google Scholar
3. Stoney, G.G., (Proc. Roy. Soc. [A] 82, London 1909) pp. 172–175.Google Scholar
4. Brenner, A. and Senderoff, S., National Bureau of Standards No. RP1954 42, (February 1949) pp. 105–123.Google Scholar
5. Hyer, M.W., J. Comp. Materials 15, 296–310 (1981).Google Scholar
6. Timoshenko, S., Journal of the Optical Society of America 11, 233–256 (Sept. 1925).Google Scholar
7. Ugural, A.C., Stresses in Plates and Shells, (McGraw-Hill Book Company, New York, 1981).Google Scholar
8. Agarwal, B.D. and Broutman, L.J., Analysis and Performance of Fiber Composites, (John Wiley & Sons, New York, 1980).Google Scholar
9. Ugural, A.C., and Fenster, S.K., Advanced Strength and Applied Elasticity, (Elsevier, New York, 1987) p. 53.Google Scholar
10. MACSYMA Reference Manual Version 13, (Symbolics, Inc., Nov. 1988).Google Scholar
11. Simitses, G.J., An Introduction to the Elastic Stability of Structures, (Robert E. Krieger Publishing Company, Inc., Fla., 1986) pp. 8–14.Google Scholar