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On the bending strength of single-crystal silicon theta-like specimens Rebecca Kirkpatrick

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Abstract

A new theta geometry was developed for microscale bending strength measurements. This new “gap” theta specimen was a modification of the arch theta specimen that enabled microscale tensile testing. The gap theta specimen was demonstrated here on single-crystal silicon, microfabricated using two different etch processes. The resulting sample strengths were described by three-parameter Weibull distributions derived from parameters determined using established arch theta strengths, assuming a specimen-geometry and -size invariant flaw distribution and an approximate loading configuration.

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References

  1. M.S. Gaither, F.W. DelRio, R.S. Gates, E.R. Fuller Jr., and R.F. Cook: Strength distribution of single-crystal silicon theta-like specimens. Scripta Mater. 63, 422 (2010).

    Article  CAS  Google Scholar 

  2. A.J. Durelli, S. Morse, and V. Parks: The theta specimen for determining tensile strength of brittle materials. Mater. Res. Standards 2, 114 (1962).

    Google Scholar 

  3. E.R. Fuller, Jr., D.L. Henann, and L. Ma: Theta-like specimens for measuring mechanical properties at the small-scale: effects of non-ideal loading. Int. J. Mater. Res. 98, 729 (2007).

    Article  CAS  Google Scholar 

  4. G.D. Quinn, E. Fuller, D. Xiang, A. Jillavenkatesa, L. Ma, D. Smith, and J. Beall: A novel test method for measuring mechanical properties at the small-scale: the theta specimen, In Mechanical Properties and Performance of Engineering Ceramics and Composites, edited by E. Lara-Curzio (Ceramic Eng. Sci. Proc. 26, Westerville, OH, 2005), p. 117.

    Google Scholar 

  5. M.S. Gaither, F.W. DelRio, R.S. Gates, and R.F. Cook: Deformation and fracture of single-crystal silicon theta-like specimens. J. Mater. Res. 26, 2575 (2011).

    Article  CAS  Google Scholar 

  6. M.S. Gaither, R.S. Gates, R. Kirkpatrick, R.F. Cook, and F.W. DelRio: Etching process effects on surface structure, fractur, strength, and reliability of single-crystal silicon theta-like specimens. J. Microelectromech. Syst. (2013). DOI: 10.1109/JMEMS.2012.2234724

    Google Scholar 

  7. S.D. Senturia: Microsystem Design (Kluwer Academic Publishers, Boston, 2001).

    Google Scholar 

  8. S. Tachi, K. Tsujimoto, and S. Okudaira: Low-temperature reactive ion etching and microwave plasma-etching of silicon. Appl. Phys. Lett. 52, 616 (1988).

    Article  CAS  Google Scholar 

  9. D.L. Logan: A First Course in the Finite Element Method (Thomson, Toronto, 2007).

    Google Scholar 

  10. H.J. McSkimin and P. Andreatch Jr.: Measurement of third-order moduli of silicon and germanium. J. Appl. Phys. 35, 3312 (1964).

    Article  CAS  Google Scholar 

  11. W. Weibull: A statistical distribution function of wide applicability. J. Appl. Mech. 18, 293 (1951).

    Google Scholar 

  12. M.T. Todinov: Probability of fracture initiated by defects. Mater. Sci. Eng. A 276, 39 (2000).

    Article  CAS  Google Scholar 

  13. N.N. Nemeth, J.M. Manderscheid, and J.P. Gyekenyesi: Designing ceramic components with the CARES computer program. Amer. Ceram. Soc. Bull. 68, 2064 (1989).

    CAS  Google Scholar 

  14. N.A. Weil and I.M. Daniel: Analysis of fracture probabilities in nonuniformly stressed brittle materials. J. Amer. Cer. Soc. 47, 268 (1964).

    Article  CAS  Google Scholar 

  15. T.P. Weihs, S. Hong, J.C. Bravman, and W.D. Nix: Mechanical deflection of cantilever microbeams: a new technique for testing the mechanical properties of thin films. J. Mater. Res. 3, 931 (1988).

    Article  Google Scholar 

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Acknowledgment

The authors thank George D. Quinn at the National Institute of Standards and Technology (NIST) for guidance with Weibull statistics. Research was performed in part at the NIST Center for Nanoscale Science and Technology. Certain commercial equipment, instruments, or materials are identified in this report to specify the experimental procedure adequately. Such identification is not intended to imply recommendation or endorsement by NIST, nor is it intended to imply that the materials or equipment identified are necessarily the best available for the purpose.

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Correspondence to Robert F. Cook.

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Osborn, W.A., Gaither, M.S., Gates, R.S. et al. On the bending strength of single-crystal silicon theta-like specimens Rebecca Kirkpatrick. MRS Communications 3, 113–117 (2013). https://doi.org/10.1557/mrc.2013.18

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  • DOI: https://doi.org/10.1557/mrc.2013.18

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