Nanoindentation

Material testing laboratory

Simulation Area

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Machine Over View

Protective Enclosure Indenter Head Berkovich Indenter Optical Microscope Sample Stage Sample

Observations

Test Parameters

Strain Rate 0.005 s⁻¹
Load Rate 0.2 mN/s
Displacement Rate 10 nm/s
Thermal Drift ≤ 0.05 nm/s

Nano-Indentation Formulae

Contact Depth

hc = hmax ε P S

hmax = maximum indentation depth, P = maximum load, S = unloading stiffness, ε ≈ 0.75 (Berkovich indenter)



Hardness Measurement

H = Pmax Ac

H = nanoindentation hardness, Pmax = maximum applied load, Ac = projected contact area


Elastic Modulus Determination

Er = 1 √(π / Ac) S

β = geometry correction factor (≈ 1.034 for Berkovich)


Specimen Modulus

1 Er = 1 − νs2 Es + 1 − νi2 Ei

Es, νs = modulus and Poisson’s ratio of the specimen,
Ei, νi = modulus and Poisson’s ratio of the indenter (for diamond: Ei ≈ 1140 GPa, νi ≈ 0.07)


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