Skip to main content
Log in

Nondestructive Measurement of In-Plane Residual Stress in Silicon Strips

  • Published:
MRS Online Proceedings Library Aims and scope

Abstract

This paper reports the development of a shadow moiré technique to measure the in-plane residual stresses of thin, flat strips. This is an extension of prior work on the measurement of in-plane residual stresses in silicon plates and wafers. Phase stepping shadow moir6 and digital image processing techniques are employed to measure the deflections of the silicon plate specimens subjected to three-point-bending at several different loads. The measured deflections over the area of the silicon plates are fitted with an equation represented by a 2-D polynomial. With the theory of thin plates with large deflection, the fitting coefficients are used to extract the in-plane stresses at the different bending load. The residual stress is resolved by linear regression of the in-plane stresses versus bending loads.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. T. Andonian, S. Danyluk, J. Mater. Sci. 20, p. 4459–4464 (1985)

    Article  CAS  Google Scholar 

  2. A. T. Andonian, S. Danyluk, Mech. Res. Com. 11(2), p. 97–104 (1984)

    Article  Google Scholar 

  3. W. R. LaFontaine, B. Yost, C. Y. Li, J. Mater. Res. 5(4), p. 776–783 (1990)

    Article  CAS  Google Scholar 

  4. L. D. Chen, M. J. Zhang, S. Zhang, J. Appl. Phys. 76(3), p. 1547–1551 (1994)

    Article  CAS  Google Scholar 

  5. M. Renninggen, J. Appl. Crypt. 5, 163–169 (1972)

    Article  Google Scholar 

  6. S. Majumdas, D. Kupperman, J. Singh, J. Amer. Ceram. Soc. 71(10), p. 858–863 (1988)

    Article  Google Scholar 

  7. T. Zheng, S. Danyluk, Proc. SEM Annu. Conf. on Theo., Exper. and Comp. Mech., p. 391–394 (1999)

    Google Scholar 

  8. F. P. Chiang, A. S. Kobayashi, Manual of Experimental Stress Analysis, 3rd ed., (Bookfield Center, 1978)

    Google Scholar 

  9. S. P. Timoshenko, S. Woinowsky-Kreiger, Theory of Plates and Shells, (Puli. McGraw Hill, 1959)

    Google Scholar 

  10. K. Creath, E. Wolf, Progress in Optics XXVI, (Elsevier Science Publishers B.V., 1988)

    Google Scholar 

  11. J. J. Wortman, R. A. Evans, J. Appl. Phys. 36(1), p. 153–156 (1965)

    Article  CAS  Google Scholar 

  12. W. C. O’Mara, R. B. Herring, L. P. Hunt, Handbook of Semiconductor Silicon Technology, (Noyes Publications, 1990)

    Google Scholar 

Download references

Acknowledgments

This work is supported by EBARA Solar, Inc. Special thanks goes to Dr. Daniel L. Meier for helpful discussions.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zheng, T., Danyluk, S. Nondestructive Measurement of In-Plane Residual Stress in Silicon Strips. MRS Online Proceedings Library 591, 266–270 (1999). https://doi.org/10.1557/PROC-591-283

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1557/PROC-591-283

Navigation