Maximum Depth using Final Depth and Displacement of Surface Calculator

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✖The Displacement of Surface is simply the displacement of the surface on the perimeter of the contact due to elastic depression.ⓘ Displacement of Surface [h_s]			+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 Maximum Depth is the highest possible depth quantity during indentation.ⓘ Maximum Depth using Final Depth and Displacement of Surface [h_max]

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Formula

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Maximum Depth using Final Depth and Displacement of Surface

Formula

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

Example

`"207.5969nm"=((pi*"50nm")/(pi-2))+"70nm"`

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Maximum Depth using Final Depth and Displacement of Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Maximum Depth - (Measured in Meter) - The Maximum Depth is the highest possible depth quantity during indentation.
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.
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

Displacement of Surface: 50 Nanometer --> 5E-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_max = ((pi*h_s)/(pi-2))+h_f --> ((pi*5E-08)/(pi-2))+7E-08

Evaluating ... ...

h_max = 2.07596919694205E-07

STEP 3: Convert Result to Output's Unit

2.07596919694205E-07 Meter -->207.596919694205 Nanometer (Check conversion here)

FINAL ANSWER

207.596919694205 ≈ 207.5969 Nanometer <-- Maximum Depth

(Calculation completed in 00.020 seconds)

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Created by Abhijit gharphalia

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

Maximum Depth using Final Depth and Displacement of Surface Formula

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

What is a Nanoindenter?

A nanoindenter is a versatile instrument used to test the mechanical properties of materials. Primarily developed for localized hardness testing, nanoindentation is now widely used to measure creep, fracture toughness, elastic modulus, stress relaxation, cracking, di slocation nucleation, and the viscoelastic properties of samples.

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

Maximum Depth using Final Depth and Displacement of Surface calculator uses Maximum Depth = ((pi*Displacement of Surface)/(pi-2))+Final Depth to calculate the Maximum Depth, The Maximum Depth using Final Depth and Displacement of Surface formula is defined as the highest possible depth quantity during indentation that can be calculated using the values of displacement of surface and final depth. Maximum Depth is denoted by h_max symbol.

How to calculate Maximum Depth using Final Depth and Displacement of Surface using this online calculator? To use this online calculator for Maximum Depth using Final Depth and Displacement of Surface, enter Displacement of Surface (h_s) & Final Depth (h_f) and hit the calculate button. Here is how the Maximum Depth using Final Depth and Displacement of Surface calculation can be explained with given input values -> 2.1E+11 = ((pi*5E-08)/(pi-2))+7E-08.

FAQ

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

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

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

The Maximum Depth using Final Depth and Displacement of Surface formula is defined as the highest possible depth quantity during indentation that can be calculated using the values of displacement of surface and final depth is calculated using Maximum Depth = ((pi*Displacement of Surface)/(pi-2))+Final Depth. To calculate Maximum Depth using Final Depth and Displacement of Surface, you need Displacement of Surface (h_s) & Final Depth (h_f). With our tool, you need to enter the respective value for Displacement of Surface & 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 Maximum Depth?

In this formula, Maximum Depth uses Displacement of Surface & Final Depth. We can use 1 other way(s) to calculate the same, which is/are as follows -

Maximum Depth = Depth of Contact+Displacement of Surface

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