Inaccuracies in Sneddon`s solution for elastic indentation by a rigid cone and their implications for nanoindentation data analysis

PDF Version Also Available for Download.

Description

Methods currently used for analyzing nanoindentation load-displacement data to determine a material`s hardness and elastic modulus are based on Sneddon`s solution for the indentation of an elastic half-space by a rigid axisymmetric indenter. Although this solution is widely used, no attempts have been made to determine how well it works for conditions of finite deformation, as is the case in most nanoindentation experiments with sharp indenters. Analytical and finite element results are presented which show that corrections to Sneddon`s solution are needed if it is to be accurately applied to the case of deformation by a rigid cone. Failure to ... continued below

Physical Description

6 p.

Creation Information

Bolshakov, A. & Pharr, G.M. May 1, 1996.

Context

This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 127 times , with 10 in the last month . More information about this article can be viewed below.

Who

People and organizations associated with either the creation of this article or its content.

Sponsor

Publisher

Provided By

UNT Libraries Government Documents Department

Serving as both a federal and a state depository library, the UNT Libraries Government Documents Department maintains millions of items in a variety of formats. The department is a member of the FDLP Content Partnerships Program and an Affiliated Archive of the National Archives.

Contact Us

What

Descriptive information to help identify this article. Follow the links below to find similar items on the Digital Library.

Description

Methods currently used for analyzing nanoindentation load-displacement data to determine a material`s hardness and elastic modulus are based on Sneddon`s solution for the indentation of an elastic half-space by a rigid axisymmetric indenter. Although this solution is widely used, no attempts have been made to determine how well it works for conditions of finite deformation, as is the case in most nanoindentation experiments with sharp indenters. Analytical and finite element results are presented which show that corrections to Sneddon`s solution are needed if it is to be accurately applied to the case of deformation by a rigid cone. Failure to make the corrections results in an underestimation of the load and contact stiffness and an overestimation of the elastic modulus, with the magnitude of the errors depending on the angle of the indenter and Poisson`s ratio of the half-space. For a rigid conical indenter with a half-included tip angle of 70.3{degrees}, i.e., the angle giving the same area-to-depth ratio as the Berkovich indenter used commonly in nanoindentation experiments, the underestimation of the load and contact stiffness and overestimation of the elastic modulus may be as large as 13%. It is shown that a simple first order correction can be achieved by redefining the effective angle of the indenter in terms of the elastic constants. Implications for the interpretation of nanoindentation data are discussed.

Physical Description

6 p.

Notes

OSTI as DE96009404

Source

  • Spring meeting of the Materials Research Society (MRS), San Francisco, CA (United States), 8-12 Apr 1996

Language

Item Type

Identifier

Unique identifying numbers for this article in the Digital Library or other systems.

  • Other: DE96009404
  • Report No.: CONF-960401--16
  • Grant Number: AC05-96OR22464
  • Office of Scientific & Technical Information Report Number: 230354
  • Archival Resource Key: ark:/67531/metadc672776

Collections

This article is part of the following collection of related materials.

Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

What responsibilities do I have when using this article?

When

Dates and time periods associated with this article.

Creation Date

  • May 1, 1996

Added to The UNT Digital Library

  • June 29, 2015, 9:42 p.m.

Description Last Updated

  • Dec. 1, 2015, 2:11 p.m.

Usage Statistics

When was this article last used?

Yesterday: 0
Past 30 days: 10
Total Uses: 127

Interact With This Article

Here are some suggestions for what to do next.

Start Reading

PDF Version Also Available for Download.

Citations, Rights, Re-Use

Bolshakov, A. & Pharr, G.M. Inaccuracies in Sneddon`s solution for elastic indentation by a rigid cone and their implications for nanoindentation data analysis, article, May 1, 1996; United States. (digital.library.unt.edu/ark:/67531/metadc672776/: accessed November 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.