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Vickers hardness Formula

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Vickers Hardness test consists of applying a force (also called a “load”) on the test material using a diamond indenter, to obtain an indentation. Check FAQs

HV = 1.854 \cdot \frac{P}{d^{2}}

HV - Vickers Hardness?P - Indentation Load?d - Diagonal length?

Vickers hardness Example

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With units

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Here is how the Vickers hardness equation looks like with Values.

Here is how the Vickers hardness equation looks like with Units.

Here is how the Vickers hardness equation looks like.

0.0642 = 1.854 \cdot \frac{0.1}{{1.7}^{2}}

0.0642kgf/mm² = 1.854 \cdot \frac{0.1kgf}{{1.7mm}^{2}}

0.0642 = 1.854 \cdot \frac{0.1}{{1.7}^{2}}

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Vickers hardness Solution

Follow our step by step solution on how to calculate Vickers hardness?

FIRST Step Consider the formula

HV = 1.854 \cdot \frac{P}{d^{2}}

Next Step Substitute values of Variables

∴

HV = 1.854 \cdot \frac{0.1kgf}{{1.7mm}^{2}}

Next Step Convert Units

∴

HV = 1.854 \cdot \frac{0.9807N}{{0.0017m}^{2}}

Next Step Prepare to Evaluate

∴

HV = 1.854 \cdot \frac{0.9807}{{0.0017}^{2}}

Next Step Evaluate

∴

HV = 629118.653979195Pa

Next Step Convert to Output's Unit

∴

HV = 0.0641522491349481kgf/mm²

LAST Step Rounding Answer

∴

HV = 0.0642kgf/mm²

Vickers hardness Formula Elements

Variables

Vickers Hardness

Vickers Hardness test consists of applying a force (also called a “load”) on the test material using a diamond indenter, to obtain an indentation.

Symbol: HV

Measurement: PressureUnit: kgf/mm²

Note: Value should be greater than 0.

Formulas to find Vickers Hardness

Indentation Load

Indentation load in microhardness test. Loads will be in the range of 1-1000 grams.

Symbol: P

Measurement: ForceUnit: kgf

Note: Value can be positive or negative.

Formulas to find Indentation Load

Diagonal length

Diagonal length in microhardness test. The diagonal length is in millimetre.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Diagonal length

Other formulas in Hardness category

Go Brinell hardness

HB = 2 \cdot \frac{P load}{π \cdot D \cdot (D - \sqrt{D^{2} - d^{2}})}

Go Tensile strength from Brinell hardness

TS = (\frac{3.45}{9.8067}) \cdot HB

Go Knoop hardness

HK = 14.2 \cdot \frac{P}{d^{2}}

How to Evaluate Vickers hardness?

Vickers hardness evaluator uses Vickers Hardness = 1.854*Indentation Load/(Diagonal length^2) to evaluate the Vickers Hardness, Vickers hardness test consists of applying a force (also called a “load”) on the test material using a diamond indenter, to obtain an indentation. Vickers Hardness is denoted by HV symbol.

How to evaluate Vickers hardness using this online evaluator? To use this online evaluator for Vickers hardness, enter Indentation Load (P) & Diagonal length (d) and hit the calculate button.

FAQs on Vickers hardness

What is the formula to find Vickers hardness?

The formula of Vickers hardness is expressed as Vickers Hardness = 1.854*Indentation Load/(Diagonal length^2). Here is an example- 6.5E-9 = 1.854*0.980664999999931/(0.0017^2).

How to calculate Vickers hardness?

With Indentation Load (P) & Diagonal length (d) we can find Vickers hardness using the formula - Vickers Hardness = 1.854*Indentation Load/(Diagonal length^2).

Can the Vickers hardness be negative?

No, the Vickers hardness, measured in Pressure cannot be negative.

Which unit is used to measure Vickers hardness?

Vickers hardness is usually measured using the Kilogram-Force per Square Millimeter[kgf/mm²] for Pressure. Pascal[kgf/mm²], Kilopascal[kgf/mm²], Bar[kgf/mm²] are the few other units in which Vickers hardness can be measured.

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