Dear Simon,

You may want to review the data below:

How to calculate the hardness of an indentation?

The indentation modulus and hardness of the material can thus be calculated without the necessity of imaging the indentation after the experiment.

Determining the Elastic Modulus and Hardness of an ...

Determining the Elastic Modulus and Hardness of an Ultrathin Film on a Substrate Using Nanoindentation (harvard.edu)

Li, Han, and Joost J. Vlassak. 2009. Determining the elastic modulus and hardness of an ultrathin film on a substrate using nanoindentation. Journal of Materials Research 24(3): 1114-1126.Citation

A data analysis procedure has been developed to estimate the contact area in an elasto-plastic indentation of a thin film bonded to a substrate. The procedure can be used to derive the elastic modulus and hardness of the film from the indentation load, displacement, and contact stiffness data at indentation depths that are a significant fraction of the film thickness. The analysis is based on Yu’s elastic solution for the contact of a rigid conical punch on a layered half-space and uses an approach similar to the Oliver-Pharr method for bulk materials. The methodology is demonstrated for both compliant films on stiff substrates and the reverse combination and shows improved accuracy over previous methods.

Abstract

This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAPTerms of Use

This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAPTerms of Use

How is the toughness of a fracture determined?

The conventional method to determine the fracture toughness from indentation is based on radial crack-length measurements, and for kyanite, the K IC is difficult to estimate owing to the ease with which kyanite cleaves (Whitney et al. 2007).

Fracture toughness, hardness, and elastic modulus of ...

rruff-2.geo.arizona.edu/uploads/AM93_844.pdf

Hi. I hope the following article might help you very much:

https://pdf.sciencedirectassets.com/277416/1-s2.0-S1876380415X00061/1-s2.0-S1876380415300690/main.pdf?X-Amz-Security-Token=IQoJb3JpZ2luX2VjEFgaCXVzLWVhc3QtMSJGMEQCIFZDps%2FGVxzyk25spap3Bo7rVI1oj%2FsMHD3hX63GRi5JAiArkkV2vsL2ur3weUuUgB2OinoIUM5PpnFm%2BBCVeMlSwSr6AwgxEAQaDDA1OTAwMzU0Njg2NSIMR1mjoUcIgvF6mN82KtcDWGp7BoG0noYsQAe2S4qxNBPrzp0R5Ba98lPfCmBa%2By%2BByj0I8jh9T%2BSACDBIbhAsFYI%2B2zwsKqJWnIRkCf%2BaDvWsv%2FW8zMY84habR9n8OQ6Ov4lr5o6kNlHZ5RfjRr6R%2FNPhYjJmzmdh9eBX055%2FHnhRatoUER%2FaNdoAlpjr5sWLZoIlZ9w5ddrhn%2FsHWs6ZxdwqbnCZzBAZbmaqHVhW2GJWnSiCyXRr%2FSFGOK3C%2FbfrRYMq2%2FcZQtYkYMpA%2FFJX9DG6dYCRrLp%2FslR6%2B0Qx23VZcTy4aq2xCtX1dkADMU%2F0i5MsfpN2iH9lvsvu4PWyCMWvYz3%2FeC49x9TkirJLM1I44v87NqwZ4t0rOL8gQSPUKL7hl5HaEgIWjRg%2FdjwevarOSSC5pv2B6nzNo15sjCAthkvtfOTiLjIChyDsrXORBv7C71xUR25HxElG%2F9HmelxdvmdnreAWGLSPRGUL0AZFgeeyUGTXhQ4IKZ%2BwopqyA%2BDSOWf0BzHWW9%2BMT5OntAdfsdvijfV8rNICMWRVtZVyJ8REdpb846dE645Hb26wFTmIpiDkaydeXaN6GfKtvU5RzLzQGhA2BDL2dVLfW1YWzNmzDRy%2FoFPjRtortH9YjXdKCtfjMN%2Fr14YGOqYB5uQeWSOKYG5aGTyVB%2B%2FdEEmWBWwRqYPR%2FbgVSEJiL441HLHC5Maez4tdxPq6TkBlatMQWgFA2uJD%2BxhfL4DpAhW9y6ZFxBYU6n849E%2FDFZMcy3XC5R3PS%2Brx%2FSYiOThZUg9Kc9uIcSwQcWtkDCdoVRxCxSYq%2F5MpshJM7PPAvxa7tBSNABjJkdNO%2Fys3lOYUjKyjpkis4z7bCUsKEOx0DOFXYQxHdw%3D%3D&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Date=20210625T161115Z&X-Amz-SignedHeaders=host&X-Amz-Expires=300&X-Amz-Credential=ASIAQ3PHCVTY2JLBW4NX%2F20210625%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Signature=051e6445e761dda28b181a22697c8a9221369a42f0f8598cab9ecc52096f23ef&hash=47d49a5b004252b2b3f3ef9172c9f0bae96371ad0745642b81b319e2eb364ed2&host=68042c943591013ac2b2430a89b270f6af2c76d8dfd086a07176afe7c76c2c61&pii=S1876380415300690&tid=spdf-d29520a2-c0a2-4d03-bb56-adeb095d9720&sid=b571980155dfd74d032b9f791f15a0815fb4gxrqb&type=client