In our previous paper, the expanding cavity model (ECM) and Lame solution were used to obtain an analytical expression for the scale ratio between hardness (H) to reduced modulus (E-r) and unloading work (W-u) to total work (W-t) of indentation for elastic-perfectly plastic materials. In this paper, the more general work-hardening (linear and power-law) materials are studied. Our previous conclusions that this ratio depends mainly on the conical angle of indenter, holds not only for elastic perfectly-plastic materials, but also for work-hardening materials. These results were also verified by numerical simulations.
This paper was published as:
Yang R, Zhang TH, Feng YH. Theoretical analysis of the relationships between hardness, elastic modulus, and the work of indentation for work-hardening materials. JOURNAL OF MATERIALS RESEARCH, 25(11):2072-2077(2010)