Tip radius variation with elastic indentation depth

doi:10.1016/j.matlet.2018.05.045

Title: Tip radius variation with elastic indentation depth

Abstract

The reduced elastic modulus of a material is measured with a nanoindenter probe that is operated in the tapping mode. The resonant frequency of a freely oscillating cantilever is reduced when contact is made between the indenter tip and surface under investigation. It’s shown using elasticity theory that the elastic deformation is a function of the indenter tip radius. A deeper penetration within the elastic range can change the tip radius, and introduce an error of 10% in calculating the reduced elastic modulus.

Authors:

Jankowski, Alan F. ^[1]; Ahmed, H. S. Tanvir ^[2]; Brannigan, Eric M. ^[3]

Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Intel Corporation, Portland, OR (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Publication Date:: 2018-05-16

Research Org.:: Sandia National Lab. (SNL-CA), Livermore, CA (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1477973

Alternate Identifier(s):: OSTI ID: 1582951

Report Number(s):: SAND-2018-10179J
Journal ID: ISSN 0167-577X; 667940

Grant/Contract Number:: AC04-94AL85000; NA0003525

Resource Type:: Accepted Manuscript

Journal Name:: Materials Letters

Additional Journal Information:: Journal Volume: 227; Journal ID: ISSN 0167-577X

Publisher:: Elsevier

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE

Citation Formats


                    Jankowski, Alan F., Ahmed, H. S. Tanvir, and Brannigan, Eric M. Tip radius variation with elastic indentation depth.  United States: N. p., 2018. 
        Web.  doi:10.1016/j.matlet.2018.05.045.

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                    Jankowski, Alan F., Ahmed, H. S. Tanvir, & Brannigan, Eric M. Tip radius variation with elastic indentation depth.  United States.  doi:10.1016/j.matlet.2018.05.045.

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                    Jankowski, Alan F., Ahmed, H. S. Tanvir, and Brannigan, Eric M. Wed .  
        "Tip radius variation with elastic indentation depth".  United States.  doi:10.1016/j.matlet.2018.05.045.  https://www.osti.gov/servlets/purl/1477973.

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@article{osti_1477973,

  title        = {Tip radius variation with elastic indentation depth},

  author       = {Jankowski, Alan F. and Ahmed, H. S. Tanvir and Brannigan, Eric M.},

  abstractNote = {The reduced elastic modulus of a material is measured with a nanoindenter probe that is operated in the tapping mode. The resonant frequency of a freely oscillating cantilever is reduced when contact is made between the indenter tip and surface under investigation. It’s shown using elasticity theory that the elastic deformation is a function of the indenter tip radius. A deeper penetration within the elastic range can change the tip radius, and introduce an error of 10% in calculating the reduced elastic modulus.},

  doi          = {10.1016/j.matlet.2018.05.045},

  journal      = {Materials Letters},

  number       = ,

  volume       = 227,

  place        = {United States},

  year         = {2018},

  month        = {5}

}

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DOI: 10.1016/j.matlet.2018.05.045

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Figures / Tables:

Figure 1: The resonant frequency shift Δf for a cantilever with a tip in contact with a surface is

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