Displacement of Surface using Final Depth and Maximum Depth Calculator

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Mechanical and Nanomechanical Properties

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✖The Maximum Depth is the highest possible depth quantity during indentation.ⓘ Maximum Depth [h_max]			+10% -10%
✖The Final Depth is the measure of the depth after unloading and elastic recovery of the residual indent.ⓘ Final Depth [h_f]			+10% -10%

✖The Displacement of Surface is simply the displacement of the surface on the perimeter of the contact due to elastic depression.ⓘ Displacement of Surface using Final Depth and Maximum Depth [h_s]

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Formula

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Displacement of Surface using Final Depth and Maximum Depth

Formula

`"h"_{"s"} = ((pi-2)/pi)*("h"_{"max"}-"h"_{"f"})`

Example

`"3.633802nm"=((pi-2)/pi)*("80nm"-"70nm")`

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Displacement of Surface using Final Depth and Maximum Depth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Displacement of Surface = ((pi-2)/pi)*(Maximum Depth-Final Depth)
h_s = ((pi-2)/pi)*(h_max-h_f)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Displacement of Surface - (Measured in Meter) - The Displacement of Surface is simply the displacement of the surface on the perimeter of the contact due to elastic depression.
Maximum Depth - (Measured in Meter) - The Maximum Depth is the highest possible depth quantity during indentation.
Final Depth - (Measured in Meter) - The Final Depth is the measure of the depth after unloading and elastic recovery of the residual indent.

STEP 1: Convert Input(s) to Base Unit

Maximum Depth: 80 Nanometer --> 8E-08 Meter (Check conversion here)
Final Depth: 70 Nanometer --> 7E-08 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_s = ((pi-2)/pi)*(h_max-h_f) --> ((pi-2)/pi)*(8E-08-7E-08)

Evaluating ... ...

h_s = 3.63380227632418E-09

STEP 3: Convert Result to Output's Unit

3.63380227632418E-09 Meter -->3.63380227632419 Nanometer (Check conversion here)

FINAL ANSWER

3.63380227632419 ≈ 3.633802 Nanometer <-- Displacement of Surface

(Calculation completed in 00.004 seconds)

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national institute of technology meghalaya (NIT Meghalaya), Shillong

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< 8 Mechanical and Nanomechanical Properties Calculators

Displacement of Surface using Final Depth and Maximum Depth

Go Displacement of Surface = ((pi-2)/pi)*(Maximum Depth-Final Depth)

Maximum Depth using Final Depth and Displacement of Surface

Go Maximum Depth = ((pi*Displacement of Surface)/(pi-2))+Final Depth

Depth during Indentation using Displacement of Surface and Depth of Contact

Go Depth during Indentation = Displacement of Surface+Depth of Contact

Displacement of Surface using Depth during Indentation and Depth of Contact

Go Displacement of Surface = Depth during Indentation-Depth of Contact

Depth of Contact using Depth during Indentation and Displacement of Surface

Go Depth of Contact = Depth during Indentation-Displacement of Surface

Depth of Contact using Maximum Depth and Displacement of Surface

Go Depth of Contact = Maximum Depth-Displacement of Surface

Maximum Depth using Depth of Contact and Displacement of Surface

Go Maximum Depth = Depth of Contact+Displacement of Surface

Displacement of Surface using Maximum Depth and Depth of Contact

Go Displacement of Surface = Maximum Depth-Depth of Contact

Displacement of Surface using Final Depth and Maximum Depth Formula

Displacement of Surface = ((pi-2)/pi)*(Maximum Depth-Final Depth)
h_s = ((pi-2)/pi)*(h_max-h_f)

What is nanoindentation?

Nanoindentation, also known as instrumented indentation testing, is a technique used to measure the hardness, plasticity, and elasticity index of small volumes of materials. It was developed in the mid-1970s to measure the hardness of small volumes of material.

How to Calculate Displacement of Surface using Final Depth and Maximum Depth?

Displacement of Surface using Final Depth and Maximum Depth calculator uses Displacement of Surface = ((pi-2)/pi)*(Maximum Depth-Final Depth) to calculate the Displacement of Surface, The Displacement of Surface using Final Depth and Maximum Depth formula is defined as simply the displacement of the surface on the perimeter of the contact due to elastic depression, which can also be calculated using maximum depth and final depth. Displacement of Surface is denoted by h_s symbol.

How to calculate Displacement of Surface using Final Depth and Maximum Depth using this online calculator? To use this online calculator for Displacement of Surface using Final Depth and Maximum Depth, enter Maximum Depth (h_max) & Final Depth (h_f) and hit the calculate button. Here is how the Displacement of Surface using Final Depth and Maximum Depth calculation can be explained with given input values -> 3.6E+9 = ((pi-2)/pi)*(8E-08-7E-08).

FAQ

What is Displacement of Surface using Final Depth and Maximum Depth?

The Displacement of Surface using Final Depth and Maximum Depth formula is defined as simply the displacement of the surface on the perimeter of the contact due to elastic depression, which can also be calculated using maximum depth and final depth and is represented as h_s = ((pi-2)/pi)*(h_max-h_f) or Displacement of Surface = ((pi-2)/pi)*(Maximum Depth-Final Depth). The Maximum Depth is the highest possible depth quantity during indentation & The Final Depth is the measure of the depth after unloading and elastic recovery of the residual indent.

How to calculate Displacement of Surface using Final Depth and Maximum Depth?

The Displacement of Surface using Final Depth and Maximum Depth formula is defined as simply the displacement of the surface on the perimeter of the contact due to elastic depression, which can also be calculated using maximum depth and final depth is calculated using Displacement of Surface = ((pi-2)/pi)*(Maximum Depth-Final Depth). To calculate Displacement of Surface using Final Depth and Maximum Depth, you need Maximum Depth (h_max) & Final Depth (h_f). With our tool, you need to enter the respective value for Maximum Depth & Final Depth and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Displacement of Surface?

In this formula, Displacement of Surface uses Maximum Depth & Final Depth. We can use 2 other way(s) to calculate the same, which is/are as follows -

Displacement of Surface = Depth during Indentation-Depth of Contact
Displacement of Surface = Maximum Depth-Depth of Contact

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