Volumetric Strain with No Distortion Solution

STEP 0: Pre-Calculation Summary
Formula Used
Strain for Volume Change = ((1-2*Poisson's Ratio)*Stress for Volume Change)/Young's Modulus of Specimen
εv = ((1-2*𝛎)*σv)/E
This formula uses 4 Variables
Variables Used
Strain for Volume Change - Strain for Volume Change is defined as the strain in the specimen for a given volume change.
Poisson's Ratio - Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.
Stress for Volume Change - (Measured in Pascal) - Stress for Volume Change is defined as the stress in the specimen for a given volume change.
Young's Modulus of Specimen - (Measured in Pascal) - Young's Modulus of Specimen is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
STEP 1: Convert Input(s) to Base Unit
Poisson's Ratio: 0.3 --> No Conversion Required
Stress for Volume Change: 52 Newton per Square Millimeter --> 52000000 Pascal (Check conversion ​here)
Young's Modulus of Specimen: 190 Gigapascal --> 190000000000 Pascal (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
εv = ((1-2*𝛎)*σv)/E --> ((1-2*0.3)*52000000)/190000000000
Evaluating ... ...
εv = 0.000109473684210526
STEP 3: Convert Result to Output's Unit
0.000109473684210526 --> No Conversion Required
FINAL ANSWER
0.000109473684210526 0.000109 <-- Strain for Volume Change
(Calculation completed in 00.004 seconds)

Credits

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Created by Vaibhav Malani
National Institute of Technology (NIT), Tiruchirapalli
Vaibhav Malani has created this Calculator and 600+ more calculators!
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Verified by Sagar S Kulkarni
Dayananda Sagar College of Engineering (DSCE), Bengaluru
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Shear Yield Strength by Maximum Distortion Energy Theory
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Volumetric Strain with No Distortion Formula

​LaTeX ​Go
Strain for Volume Change = ((1-2*Poisson's Ratio)*Stress for Volume Change)/Young's Modulus of Specimen
εv = ((1-2*𝛎)*σv)/E

What is strain energy?

Strain energy is defined as the energy stored in a body due to deformation. The strain energy per unit volume is known as strain energy density and the area under the stress-strain curve towards the point of deformation. When the applied force is released, the whole system returns to its original shape. It is usually denoted by U.

How to Calculate Volumetric Strain with No Distortion?

Volumetric Strain with No Distortion calculator uses Strain for Volume Change = ((1-2*Poisson's Ratio)*Stress for Volume Change)/Young's Modulus of Specimen to calculate the Strain for Volume Change, Volumetric Strain with No Distortion formula is defined as the amount of deformation experienced by the body in the direction of force applied, divided by the initial dimensions of the body This is the strain when volume changes with zero distortion. Strain for Volume Change is denoted by εv symbol.

How to calculate Volumetric Strain with No Distortion using this online calculator? To use this online calculator for Volumetric Strain with No Distortion, enter Poisson's Ratio (𝛎), Stress for Volume Change v) & Young's Modulus of Specimen (E) and hit the calculate button. Here is how the Volumetric Strain with No Distortion calculation can be explained with given input values -> 0.000109 = ((1-2*0.3)*52000000)/190000000000.

FAQ

What is Volumetric Strain with No Distortion?
Volumetric Strain with No Distortion formula is defined as the amount of deformation experienced by the body in the direction of force applied, divided by the initial dimensions of the body This is the strain when volume changes with zero distortion and is represented as εv = ((1-2*𝛎)*σv)/E or Strain for Volume Change = ((1-2*Poisson's Ratio)*Stress for Volume Change)/Young's Modulus of Specimen. Poisson's Ratio is defined as the ratio of the lateral and axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5, Stress for Volume Change is defined as the stress in the specimen for a given volume change & Young's Modulus of Specimen is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
How to calculate Volumetric Strain with No Distortion?
Volumetric Strain with No Distortion formula is defined as the amount of deformation experienced by the body in the direction of force applied, divided by the initial dimensions of the body This is the strain when volume changes with zero distortion is calculated using Strain for Volume Change = ((1-2*Poisson's Ratio)*Stress for Volume Change)/Young's Modulus of Specimen. To calculate Volumetric Strain with No Distortion, you need Poisson's Ratio (𝛎), Stress for Volume Change v) & Young's Modulus of Specimen (E). With our tool, you need to enter the respective value for Poisson's Ratio, Stress for Volume Change & Young's Modulus of Specimen and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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