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Volumetric Strain with No Distortion Formula

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Strain for Volume Change is defined as the strain in the specimen for a given volume change. Check FAQs

ε v = \frac{(1 - 2 \cdot 𝛎) \cdot σ v}{E}

ε_v - Strain for Volume Change?𝛎 - Poisson's Ratio?σ_v - Stress for Volume Change?E - Young's Modulus of Specimen?

Volumetric Strain with No Distortion Example

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Here is how the Volumetric Strain with No Distortion equation looks like with Values.

Here is how the Volumetric Strain with No Distortion equation looks like with Units.

Here is how the Volumetric Strain with No Distortion equation looks like.

0.0001 = \frac{(1 - 2 \cdot 0.3) \cdot 52}{190}

0.0001 = \frac{(1 - 2 \cdot 0.3) \cdot 52N/mm²}{190GPa}

0.0001 = \frac{(1 - 2 \cdot 0.3) \cdot 52}{190}

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Volumetric Strain with No Distortion Solution

Follow our step by step solution on how to calculate Volumetric Strain with No Distortion?

FIRST Step Consider the formula

ε v = \frac{(1 - 2 \cdot 𝛎) \cdot σ v}{E}

Next Step Substitute values of Variables

∴

ε v = \frac{(1 - 2 \cdot 0.3) \cdot 52N/mm²}{190GPa}

Next Step Convert Units

∴

ε v = \frac{(1 - 2 \cdot 0.3) \cdot 5.2E+7Pa}{1.9E+11Pa}

Next Step Prepare to Evaluate

∴

ε v = \frac{(1 - 2 \cdot 0.3) \cdot 5.2E+7}{1.9E+11}

Next Step Evaluate

∴

ε v = 0.000109473684210526

LAST Step Rounding Answer

∴

ε v = 0.0001

Volumetric Strain with No Distortion Formula Elements

Variables

Strain for Volume Change

Strain for Volume Change is defined as the strain in the specimen for a given volume change.

Symbol: ε_v

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Strain for 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.

Symbol: 𝛎

Measurement: NAUnit: Unitless

Note: Value should be between -1 to 0.5.

Formulas to find Poisson's Ratio

Stress for Volume Change

Stress for Volume Change is defined as the stress in the specimen for a given volume change.

Symbol: σ_v

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Stress for Volume Change

Young's Modulus of Specimen

Young's Modulus of Specimen is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: PressureUnit: GPa

Note: Value should be greater than 0.

Formulas to find Young's Modulus of Specimen

Other formulas in Distortion Energy Theory category

Go Shear Yield Strength by Maximum Distortion Energy Theory

S sy = 0.577 \cdot σ y

Go Total Strain Energy per Unit Volume

U Total = U d + U v

Go Strain Energy due to Change in Volume given Volumetric Stress

U v = \frac{3}{2} \cdot σ v \cdot ε v

Go Stress due to Change in Volume with No Distortion

σ v = \frac{σ 1 + σ 2 + σ 3}{3}

How to Evaluate Volumetric Strain with No Distortion?

Volumetric Strain with No Distortion evaluator uses Strain for Volume Change = ((1-2*Poisson's Ratio)*Stress for Volume Change)/Young's Modulus of Specimen to evaluate 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 ε_v symbol.

How to evaluate Volumetric Strain with No Distortion using this online evaluator? To use this online evaluator for Volumetric Strain with No Distortion, enter Poisson's Ratio (𝛎), Stress for Volume Change (σ_v) & Young's Modulus of Specimen (E) and hit the calculate button.

FAQs on Volumetric Strain with No Distortion

What is the formula to find Volumetric Strain with No Distortion?

The formula of Volumetric Strain with No Distortion is expressed as Strain for Volume Change = ((1-2*Poisson's Ratio)*Stress for Volume Change)/Young's Modulus of Specimen. Here is an example- 0.000109 = ((1-2*0.3)*52000000)/190000000000.

How to calculate Volumetric Strain with No Distortion?

With Poisson's Ratio (𝛎), Stress for Volume Change (σ_v) & Young's Modulus of Specimen (E) we can find Volumetric Strain with No Distortion using the formula - Strain for Volume Change = ((1-2*Poisson's Ratio)*Stress for Volume Change)/Young's Modulus of Specimen.

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Volumetric Strain with No Distortion Formula

Volumetric Strain with No Distortion Example

Volumetric Strain with No Distortion Solution

Volumetric Strain with No Distortion Formula Elements

Other formulas in Distortion Energy Theory category

How to Evaluate Volumetric Strain with No Distortion?

FAQs on Volumetric Strain with No Distortion

Variable Name