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Total Strain Energy per Unit Volume Formula

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Total Strain Energy is defined as the sum of strain energy corresponding to distortion with no change in volume and strain energy corresponding to volume change with no distortion. Check FAQs

U Total = U d + U v

U_Total - Total Strain Energy?U_d - Strain Energy for Distortion?U_v - Strain Energy for Volume Change?

Total Strain Energy per Unit Volume Example

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With units

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Here is how the Total Strain Energy per Unit Volume equation looks like with Values.

Here is how the Total Strain Energy per Unit Volume equation looks like with Units.

Here is how the Total Strain Energy per Unit Volume equation looks like.

31 = 15 + 16

31kJ/m³ = 15kJ/m³ + 16kJ/m³

31 = 15 + 16

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Total Strain Energy per Unit Volume Solution

Follow our step by step solution on how to calculate Total Strain Energy per Unit Volume?

FIRST Step Consider the formula

U Total = U d + U v

Next Step Substitute values of Variables

∴

U Total = 15kJ/m³ + 16kJ/m³

Next Step Convert Units

∴

U Total = 15000J/m³ + 16000J/m³

Next Step Prepare to Evaluate

∴

U Total = 15000 + 16000

Next Step Evaluate

∴

U Total = 31000J/m³

LAST Step Convert to Output's Unit

∴

U Total = 31kJ/m³

Total Strain Energy per Unit Volume Formula Elements

Variables

Total Strain Energy

Total Strain Energy is defined as the sum of strain energy corresponding to distortion with no change in volume and strain energy corresponding to volume change with no distortion.

Symbol: U_Total

Measurement: Energy DensityUnit: kJ/m³

Note: Value should be greater than 0.

Formulas to find Total Strain Energy

Strain Energy for Distortion

Strain Energy for Distortion with no volume change is defined as the energy stored in the body per unit volume due to deformation.

Symbol: U_d

Measurement: Energy DensityUnit: kJ/m³

Note: Value should be greater than 0.

Formulas to find Strain Energy for Distortion

Strain Energy for Volume Change

Strain Energy for Volume Change with no distortion is defined as the energy stored in the body per unit volume due to deformation.

Symbol: U_v

Measurement: Energy DensityUnit: kJ/m³

Note: Value should be greater than 0.

Formulas to find Strain Energy for Volume Change

Other formulas in Distortion Energy Theory category

Go Shear Yield Strength by Maximum Distortion Energy Theory

S sy = 0.577 \cdot σ y

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}

Go Volumetric Strain with No Distortion

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

How to Evaluate Total Strain Energy per Unit Volume?

Total Strain Energy per Unit Volume evaluator uses Total Strain Energy = Strain Energy for Distortion+Strain Energy for Volume Change to evaluate the Total Strain Energy, Total strain energy per unit volume formula is defined as the sum of strain energy corresponding to distortion with no change in volume and strain energy corresponding to volume change with no distortion. Total Strain Energy is denoted by U_Total symbol.

How to evaluate Total Strain Energy per Unit Volume using this online evaluator? To use this online evaluator for Total Strain Energy per Unit Volume, enter Strain Energy for Distortion (U_d) & Strain Energy for Volume Change (U_v) and hit the calculate button.

FAQs on Total Strain Energy per Unit Volume

What is the formula to find Total Strain Energy per Unit Volume?

The formula of Total Strain Energy per Unit Volume is expressed as Total Strain Energy = Strain Energy for Distortion+Strain Energy for Volume Change. Here is an example- 3.1E-8 = 15000+16000.

How to calculate Total Strain Energy per Unit Volume?

With Strain Energy for Distortion (U_d) & Strain Energy for Volume Change (U_v) we can find Total Strain Energy per Unit Volume using the formula - Total Strain Energy = Strain Energy for Distortion+Strain Energy for Volume Change.

Can the Total Strain Energy per Unit Volume be negative?

No, the Total Strain Energy per Unit Volume, measured in Energy Density cannot be negative.

Which unit is used to measure Total Strain Energy per Unit Volume?

Total Strain Energy per Unit Volume is usually measured using the Kilojoule per Cubic Meter[kJ/m³] for Energy Density. Joule per Cubic Meter[kJ/m³], Megajoule per Cubic Meter[kJ/m³] are the few other units in which Total Strain Energy per Unit Volume can be measured.

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Total Strain Energy per Unit Volume Formula

Total Strain Energy per Unit Volume Example

Total Strain Energy per Unit Volume Solution

Total Strain Energy per Unit Volume Formula Elements

Other formulas in Distortion Energy Theory category

How to Evaluate Total Strain Energy per Unit Volume?

FAQs on Total Strain Energy per Unit Volume

Variable Name