In situ frustum indentation of nanoporous copper thin films
Abstract
Mechanical properties of thin films are often obtained solely from nanoindentation. At the same time, such measurements are characterized by a substantial amount of uncertainty, especially when mean pressure or hardness are used to infer uniaxial yield stress. In this paper we demonstrate that indentation with a pyramidal flat tip (frustum) indenter near the free edge of a sample can provide a significantly better estimate of the uniaxial yield strength compared to frequently used Berkovich indenter. This is first demonstrated using a numerical model for a material with an isotropic pressure sensitive yield criterion. Numerical simulations confirm that the indenter geometry provides a clear distinction of the mean pressure at which a material transitions to inelastic behavior. The mean critical pressure is highly dependent on the plastic Poisson ratio νp so that at the 1% offset of normalized indent depth, the critical pressure pmc normalized to the uniaxial yield strength σ0 is 1 < pmc/σ0 < 1.3 for materials with 0 < νp < 0.5. Choice of a frustum over Berkovich indenter reduces uncertainty in hardness by a factor of 3. These results are used to interpret frustum indentation experiments on nanoporous (NP) Copper with struts of typical diameter ofmore »
- Authors:
-
- Georgia Inst. of Technology, Atlanta, GA (United States). The Woodruff School of Mechanical Engineering
- Univ. of Nevada, Reno, NV (United States). Chemical and Materials Engineering
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Center for Integrated Nanotechnologies (CINT)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Georgia Institute of Technology, Atlanta, GA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); National Science Foundation (NSF)
- OSTI Identifier:
- 1416294
- Alternate Identifier(s):
- OSTI ID: 1549660
- Report Number(s):
- LA-UR-17-27378
Journal ID: ISSN 0749-6419
- Grant/Contract Number:
- AC52-06NA25396; CMMI-1351705
- Resource Type:
- Accepted Manuscript
- Journal Name:
- International Journal of Plasticity
- Additional Journal Information:
- Journal Volume: 98; Journal ID: ISSN 0749-6419
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; yield condition; constitutive behavior; porous material; finite elements; mechanical testing; electron microscopy
Citation Formats
Liu, Ran, Pathak, Siddhartha, Mook, William M., Baldwin, J. Kevin, Mara, Nathan, and Antoniou, Antonia. In situ frustum indentation of nanoporous copper thin films. United States: N. p., 2017.
Web. doi:10.1016/j.ijplas.2017.07.005.
Liu, Ran, Pathak, Siddhartha, Mook, William M., Baldwin, J. Kevin, Mara, Nathan, & Antoniou, Antonia. In situ frustum indentation of nanoporous copper thin films. United States. https://doi.org/10.1016/j.ijplas.2017.07.005
Liu, Ran, Pathak, Siddhartha, Mook, William M., Baldwin, J. Kevin, Mara, Nathan, and Antoniou, Antonia. Mon .
"In situ frustum indentation of nanoporous copper thin films". United States. https://doi.org/10.1016/j.ijplas.2017.07.005. https://www.osti.gov/servlets/purl/1416294.
@article{osti_1416294,
title = {In situ frustum indentation of nanoporous copper thin films},
author = {Liu, Ran and Pathak, Siddhartha and Mook, William M. and Baldwin, J. Kevin and Mara, Nathan and Antoniou, Antonia},
abstractNote = {Mechanical properties of thin films are often obtained solely from nanoindentation. At the same time, such measurements are characterized by a substantial amount of uncertainty, especially when mean pressure or hardness are used to infer uniaxial yield stress. In this paper we demonstrate that indentation with a pyramidal flat tip (frustum) indenter near the free edge of a sample can provide a significantly better estimate of the uniaxial yield strength compared to frequently used Berkovich indenter. This is first demonstrated using a numerical model for a material with an isotropic pressure sensitive yield criterion. Numerical simulations confirm that the indenter geometry provides a clear distinction of the mean pressure at which a material transitions to inelastic behavior. The mean critical pressure is highly dependent on the plastic Poisson ratio νp so that at the 1% offset of normalized indent depth, the critical pressure pmc normalized to the uniaxial yield strength σ0 is 1 < pmc/σ0 < 1.3 for materials with 0 < νp < 0.5. Choice of a frustum over Berkovich indenter reduces uncertainty in hardness by a factor of 3. These results are used to interpret frustum indentation experiments on nanoporous (NP) Copper with struts of typical diameter of 45 nm. An estimate of the yield strength of NP Copper is obtained 230 MPa < σ0 < 300 MPa. Edge indentation further allows one to obtain in-plane strain maps near the critical pressure. Finally, comparison of the experimentally obtained in-plane strain maps of NP Cu during deformation and the strain field for different plastic Poisson ratios suggest that this material has a plastic Poisson ratio of the order of 0.2–0.3. However, existing constitutive models may not adequately capture post-yield behavior of NP metals.},
doi = {10.1016/j.ijplas.2017.07.005},
journal = {International Journal of Plasticity},
number = ,
volume = 98,
place = {United States},
year = {Mon Jul 24 00:00:00 EDT 2017},
month = {Mon Jul 24 00:00:00 EDT 2017}
}
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