Brinell Hardness

The Brinell scale characterizes the indentation hardness of materials through the scale of penetration of an indenter, loaded on a material test piece.

The Brinell hardness increases with the applied force required, and decreases with the diameter of the indentor. As the diameter of the indention decreases, the hardness value increases. As it approaches the diamter of the indentor, the hardness becomes proportional to the ratio of the force applied and the square of the indentor diameter.

Formula

QuantityVariable["BHN", "Pressure"] == (2*QuantityVariable["P", "Force"])/(Pi*QuantityVariable["D", "Diameter"]*(QuantityVariable["D", "Diameter"] - Sqrt[-QuantityVariable["d", "Diameter"]^2 + QuantityVariable["D", "Diameter"]^2]))

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$FormulaData[ ResourceObject[ "Brinell Hardness"], {QuantityVariable["BHN","Pressure"] -> Quantity[601.45`, ("KilogramsForce")/("Millimeters")^2], QuantityVariable["P","Force"] -> Quantity[3000, "KilogramsForce"], QuantityVariable["D","Diameter"] -> Quantity[10, "Millimeters"]}]$

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Brinell Hardness

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