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Determination of elastic modulus of thin films and small specimens using beam bending methods

Published online by Cambridge University Press:  31 January 2011

J. Menčík
Affiliation:
Forschungszentrum Karlsruhe, Institute of Materials Research, D-76021 Karlsruhe, Germany
E. Quandt
Affiliation:
Forschungszentrum Karlsruhe, Institute of Materials Research, D-76021 Karlsruhe, Germany
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Abstract

Elastic modulus of small specimens and thin films can be determined in bending tests using cantilever or three-point arrangement. The paper presents the basic formulae for these measurements, analyzes the errors which can arise, and shows how they can be reduced. The use of the method is illustrated on glass, silicon, and glass coated with TbDyFe.

Type
Articles
Copyright
Copyright © Materials Research Society 1999

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References

REFERENCES

1.Nix, W.D., Metall. Trans. 20A, 2217 (1989).CrossRefGoogle Scholar
2.Pharr, G. M. and Oliver, W.C., MRS Bull. XVII, 28 (1992).Google Scholar
3.Oliver, W.C. and Pharr, G. M., J. Mater. Res. 7, 1564 (1992).Google Scholar
4.Swain, M. V. and Menčík, J., Thin Solid Films 253, 204 (1994).Google Scholar
5.Menčík, J. and Swain, M.V., Mater. Forum 18, 277 (1994).Google Scholar
6.Menčík, J., Mechanics of Components with Coated or Treated Surfaces (Kluwer, Dordrecht, 1996).CrossRefGoogle Scholar
7.Mencčík, J., Munz, D., Weppelmann, E., Quandt, E., and Swain, M.V., J. Mater. Res. 12, 2475 (1997).CrossRefGoogle Scholar
8.Schweitz, J. A., MRS Bull. XVII, 34 (1992).CrossRefGoogle Scholar
9.Baker, S.P. and Nix, W.D., J. Mater. Res. 9, 3131 (1994).Google Scholar
10.Baker, S.P., Proc. Soc. Exper. Mech. (Spring Meeting, Bellevue, WA, 1997).Google Scholar
11.Knauss, M.P., Baker, S.P., and Arzt, E., Micro Mat '95 (Deutscher Verband für Materialforschung und -prüfung e.V., Berlin, 1995).Google Scholar
12.Weihs, T.P., Hong, S., Bravman, J.C., and Nix, W. D., J. Mater. Res. 3, 931 (1988).Google Scholar
13.Weihs, T.P., Hong, S., Bravman, J. C., and Nix, W. D., in Thin Films: Stresses and Mechanical Properties, edited by Bravman, J. C., Nix, W. D., Barnett, D.M., and Smith, D. A. (Mater. Res. Soc. Symp. Proc. 130, Pittsburgh, PA, 1989), p. 87.Google Scholar
14.Hong, S., Weihs, T. P., Bravman, J.C., and Nix, W. D., in Thin Films: Stresses and Mechanical Properties, edited by Bravman, J. C., Nix, W. D., Barnett, D.M., and Smith, D. A. (Mater. Res. Soc. Symp. Proc. 130, Pittsburgh, PA, 1989), p. 93.Google Scholar
15.Johansson, S., Ericson, F., and Schweitz, J. A., J. Appl. Phys. 65, 122 (1989).CrossRefGoogle Scholar
16.Ericson, F. and Schweitz, J. A., J. Appl. Phys. 68, 5840 (1990).CrossRefGoogle Scholar
17.Schweitz, J. A., J. Micromech. Microeng. 1, 10 (1991).CrossRefGoogle Scholar
18.Young, W.C., Roark's Formulas for Stress and Strain (McGraw-Hill, New York, 1989).Google Scholar
19.Timoshenko, S.P. and Gere, J. M., Mechanics of Materials (Van Nostrand Reinhold Company, New York, 1972).Google Scholar
20.Johnson, K.L., Contact Mechanics (Cambridge University Press, Cambridge, 1985).CrossRefGoogle Scholar
21.Quandt, E., J. Alloys Compd. 258, 126 (1997).Google Scholar
22.Quandt, E., Gerlach, B., and Seemann, K., J. Appl. Phys. 76, 7000 (1994).Google Scholar
23.Quandt, E., Ludwig, A., Menčík, J., and Nold, E., J. Alloys Compd. 258, 133 (1997).Google Scholar
24.Menčík, J., Quandt, E., and Munz, D., Thin Solid Films 287, 208 (1996).Google Scholar
25.Weppelmann, E.R., Experimental Investigation of Behavior of Surface Layers of Ceramic and Coated Materials under Contact Loading, Ph.D. Thesis (in German), University of Karlsruhe (1996).Google Scholar