Analytical techniques for indentation of viscoelastic materials

Abstract

Indentation of linearly viscoelastic materials is explored using elastic–viscoelastic correspondence analysis for both conical-pyramidal and spherical indentation. Boltzmann hereditary integrals are used to generate displacement–time solutions for loading at constant rate and creep following ramp loading. Experimental data for triangle- and trapezoidal-loading are examined for commercially-available polymers and compared with analytical solutions. Emphasis is given to the use of multiple experiments to test the fidelity and predictive capability of the obtained material creep function. Plastic deformation occurs in sharp indentation of glassy polymers and is found to complicate the viscoelastic analysis. A new method is proposed for estimating a material time-constant from peak displacement or hardness data obtained in pyramidal indentation tests performed at different loading rates.

Acknowledgments

The author wishes to acknowledge Andy Bushby, Y-T Cheng and Robert Cook for helpful discussions throughout the duration of this project.