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
hmax = ((pi*hs)/(pi-2))+hf
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
hmax = ((pi*hs)/(pi-2))+hf --> ((pi*5E-08)/(pi-2))+7E-08
Evaluating ... ...
hmax = 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 00.004 seconds)

Credits

Creator Image
Created by Abhijit gharphalia
national institute of technology meghalaya (NIT Meghalaya), Shillong
Abhijit gharphalia has created this Calculator and 50+ more calculators!
Verifier Image
Verified by Soupayan banerjee
National University of Judicial Science (NUJS), Kolkata
Soupayan banerjee has verified this Calculator and 900+ more calculators!

Mechanical and Nanomechanical Properties Calculators

Depth during Indentation using Displacement of Surface and Depth of Contact
​ LaTeX ​ Go Depth during Indentation = Displacement of Surface+Depth of Contact
Displacement of Surface using Depth during Indentation and Depth of Contact
​ LaTeX ​ Go Displacement of Surface = Depth during Indentation-Depth of Contact
Depth of Contact using Depth during Indentation and Displacement of Surface
​ LaTeX ​ Go Depth of Contact = Depth during Indentation-Displacement of Surface
Depth of Contact using Maximum Depth and Displacement of Surface
​ LaTeX ​ Go Depth of Contact = Maximum Depth-Displacement of Surface

Maximum Depth using Final Depth and Displacement of Surface Formula

​LaTeX ​Go
Maximum Depth = ((pi*Displacement of Surface)/(pi-2))+Final Depth
hmax = ((pi*hs)/(pi-2))+hf

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 hmax 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 (hs) & Final Depth (hf) 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 hmax = ((pi*hs)/(pi-2))+hf 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 (hs) & Final Depth (hf). 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
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!