NDLI: Relation between the reduced and unreduced hardness in nanomicroindentation tests

Content Provider	Springer Nature Link
Author	Bulychev, S. I.
Copyright Year	1999
Abstract	Hooke’s law is generalized to the case of arbitrary elastic or plastic indentation $$\varepsilon = (2/\sqrt \pi )x(w_1 /\sqrt {A)} $$ , where ɛ=q/E $_{r}$ is the elastic strain, q is the average pressure over the contact area, E $_{r}$ is the reduced elastic (Young’s) modulus, A is the projected area of the contact, w $_{1}$ is the deformation in elastic indentation by a flat punch. On this basis a relation is obtained between the reduced hardness H and unreduced hardness H $_{h}$, which depends on the ratio w $_{s}$/w$_{1}$=m $_{s}$; w $_{s}$ is the elastic deformation along the perimeter of the indent, and m $_{s}$≅0.78. It is shown that the correction ΔE $_{r}$ to the elastic modulus E $_{r}$ determined from the condition of linearity of the initial part of the unloading diagram, is ΔE $_{r}$=0.27(ΔP/P $_{m}$), where ΔP is the value used in the calculation of E $_{r}$ for the length of the linear part of the diagram, reckoned from the maximum load P $_{m}$. It is shown that for metallic construction materials of medium hardness one has q=HM, where HM is the Meyer hardness. With increasing HM and increasing angle ϕ at the tip of the indenter, the ratio HM/q grows by an exponential law.
Starting Page	775
Ending Page	781
Page Count	7
File Format	PDF
ISSN	10637842
Journal	Technical Physics
Volume Number	44
Issue Number	7
e-ISSN	10906525
Language	English
Publisher	Nauka/Interperiodica
Publisher Date	1999-01-01
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mechanics, Fluids, Thermodynamics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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