Interpretation of Dynamic Nanoindentation Results a simple harmonic oscillators for measurement of viscoelasticity

TL;DR

This paper proposes a mathematical framework for interpreting dynamic nanoindentation data to accurately measure the viscoelastic properties of materials at high oscillation frequencies.

Contribution

It introduces a new mathematical basis for analyzing dynamic compliance in nanoindentation, enabling better understanding of viscoelasticity in materials.

Findings

Provides a mathematical model for interpreting nanoindentation results.

Enables extraction of viscoelastic properties from high-frequency oscillation data.

Lays groundwork for improved material characterization techniques.

Abstract

With the invent of nanoindentation technology capable of greater frequency of oscillation the full resonant behaviour can be observed. Here we lay out a proposed mathematical basis to interpret the measured dynamic compliance of a system to discover the viscoelastic properties of test samples.