Hostname: page-component-77c89778f8-vpsfw Total loading time: 0 Render date: 2024-07-22T05:21:36.863Z Has data issue: false hasContentIssue false

Thin-Film-Edge-Induced Stresses in Substrates

Published online by Cambridge University Press:  21 March 2011

S.P. Wong
Affiliation:
Department of Electronic Engineering and Materials Science and Technology Research Centre, The Chinese University of Hong Kong, Hong Kong, China
H.J. Peng
Affiliation:
Department of Electronic Engineering and Materials Science and Technology Research Centre, The Chinese University of Hong Kong, Hong Kong, China
Shounan Zhao
Affiliation:
Department of Applied Physics, South China University of Technology, Guangzhou, China
Get access

Abstract

We have obtained an analytic solution of linear elasticity for the stress distribution under a thin film edge in isotropic substrates of finite thickness and of infinite extent in the other two directions. The following boundary conditions are considered. At the film/substrate interface and the free surfaces at the top and bottom of the substrate, the normal stress component vanishes. Far from the film edge on the side without the film, all stress components are zero. Far from the film edge under the film, the stress distribution is in accordance with that given by the bimetallic strip theory. Two examples of comparison between theory and experiments were given to demonstrate the validity of this solution. The infrared photoelastic stress fringe pattern obtained by a dark-field plane polariscope in a Si substrate under an oxide film edge was successfully reproduced. The calculated and experimental results of Raman-shift of Si under patterned CoSi2 line structures also showed good agreement with each other.

Type
Research Article
Copyright
Copyright © Materials Research Society 2001

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] Hu, S.M., J. Appl. Phys. 70, R55 (1991).Google Scholar
[2] Lee, H.P., Liu, X., Lin, H., Smith, J.S., Wang, S., Huang, Y.-H., Yu, P., Juang, Y.-Z., Appl. Phys. Lett. 53, 2394 (1988).Google Scholar
[3] Grundmann, M., Christen, J., Heinrichsdorff, F., Krost, A., Bimberg, D., J. Electron. Mater. 23, 201 (1994).Google Scholar
[4] Dietrich, B., Bugiel, E., Osten, H.J., Zaumseil, P., J. Appl. Phys. 74, 7223 (1993).Google Scholar
[5] Tang, W.C., Rosen, H.J., Guha, S., Madhukar, A., Appl. Phys. Lett. 58, 1644 (1991).Google Scholar
[6] Kash, K., Gaag, B.P. Van der, Mahoney, D.D., Gozdz, A.S., Florez, L.T., Harbison, J.P., Sturge, M.D., Phys. Rev. Lett. 67, 1326 (1991).Google Scholar
[7] Wolf, I. De, Maes, H.E., Jones, S.K., J. Appl. Phys. 79, 7148 (1996).Google Scholar
[8] Steegen, A., Wolf, I. De, Maex, K., J. Appl. Phys. 86, 4290 (1999).Google Scholar
[9] Jain, S.C., Willander, M., Maes, H., Semicond. Sci. Technol. 11, 641 (1996).Google Scholar
[10] Jain, S.C., Meis, H.E., Pinardi, K., I. De Wolf, J. Appl. Phys. 79, 8145 (1996).Google Scholar
[11] Brotherton, S.D., Read, T.G., Lamb, D.R., Willoughby, A.F.W., Solid State Electronics 16, 1367 (1973).Google Scholar
[12] See, for example, Boresi, A.P. and Chong, K.P., Elasticity in Engineering Mechanics, 2nd ed., Wiley-Interscienc, 1999, Ch. 5.Google Scholar
[13] Hu, S.M., Appl. Phys. Lett. 32, 5 (1978).Google Scholar
[14] Wong, S.P., Cheung, W.Y., Ke, N., Sajan, M.R., Guo, W.S., Huang, L., Zhao, Shounan, Materials Chemistry and Physics 51, 157 (1997).Google Scholar
[15] Peng, H.J., Wong, S.P., Zhao, Shounan, J. Mech. Design (to appear).Google Scholar