Scaling, dimensional analysis, and indentation measurements

YT Cheng, CM Cheng - Materials Science and Engineering: R: Reports, 2004 - Elsevier
We provide an overview of the basic concepts of scaling and dimensional analysis, followed
by a review of some of the recent work on applying these concepts to modeling instrumented …

Scaling relationships for indentation measurements

YT Cheng, Z Li, CM Cheng - Philosophical Magazine A, 2002 - Taylor & Francis
Using dimensional analysis and finite-element calculations, several relationships that relate
features of indentation loading and unloading curves to the hardness, the elastic modulus …

Scaling approach to conical indentation in elastic-plastic solids with work hardening

YT Cheng, CM Cheng - Journal of applied physics, 1998 - pubs.aip.org
We derive, using dimensional analysis and finite element calculations, several scaling
relationships for conical indentation in elastic-plastic solids with work hardening. Using …

Can stress–strain relationships be obtained from indentation curves using conical and pyramidal indenters?

YT Cheng, CM Cheng - Journal of Materials Research, 1999 - Springer
Applying the scaling relationships developed recently for conical indentation in elastic–
plastic solids with work-hardening, we examine the question of whether stress–strain …

Scaling relationships in conical indentation of elastic-perfectly plastic solids

YT Cheng, CM Cheng - International Journal of Solids and Structures, 1999 - Elsevier
Using dimensional analysis and finite element calculations we derive several scaling
relationships for conical indentation into elastic-perfectly plastic solids. These scaling …

[HTML][HTML] A critical assessment of the effect of indentation spacing on the measurement of hardness and modulus using instrumented indentation testing

PS Phani, WC Oliver - Materials & Design, 2019 - Elsevier
With the advances in instrumented indentation systems and testing methodologies, high
speed indentation mapping with indents that take less than a second is now possible. This …

Measurement of hardness and elastic modulus by instrumented indentation: Advances in understanding and refinements to methodology

WC Oliver, GM Pharr - Journal of materials research, 2004 - cambridge.org
The method we introduced in 1992 for measuring hardness and elastic modulus by
instrumented indentation techniques has widely been adopted and used in the …

Determination of elastoplastic properties by instrumented sharp indentation

AE Giannakopoulos, S Suresh - Scripta materialia, 1999 - Elsevier
Instrumented indentation methods, which provide a continuous record of the variation of
indentation load, P, as a function of the depth of penetration, h, into the indented specimen …

Hardness trends in micron scale indentation

Y Wei, JW Hutchinson - Journal of the Mechanics and Physics of Solids, 2003 - Elsevier
A continuum theory for elastic–plastic solids that accounts for the size-dependence of strain
hardening is employed to analyze trends in the indentation hardness test. Strain gradient …

Indentation across size scales and disciplines: Recent developments in experimentation and modeling

A Gouldstone, N Chollacoop, M Dao, J Li, AM Minor… - Acta Materialia, 2007 - Elsevier
Indentation is a remarkably flexible mechanical test due to its relative experimental
simplicity. Coupled with advances in instrument development, ease of implementation has …