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Volume Fraction of Fiber from EM of Composite (Longitudinal Direction) Formula

GoVolume Fraction of Fiber from EM of Composite (Transverse Direction) Formula

GoVolume Fraction of Fiber from Longitudinal Tensile Strength of Composite Formula

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Volume Fraction of Fiber also known as fiber volume fraction or simply fiber fraction, is a measure of the volume occupied by fibers within a composite material. Check FAQs

V f = \frac{E cl - E m \cdot V m}{E f}

V_f - Volume Fraction of Fiber?E_cl - Elastic Modulus Composite (Longitudinal Direction)?E_m - Elastic Modulus of Matrix?V_m - Volume Fraction of Matrix?E_f - Elastic Modulus of Fiber?

Volume Fraction of Fiber from EM of Composite (Longitudinal Direction) Example

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Here is how the Volume Fraction of Fiber from EM of Composite (Longitudinal Direction) equation looks like with Values.

Here is how the Volume Fraction of Fiber from EM of Composite (Longitudinal Direction) equation looks like with Units.

Here is how the Volume Fraction of Fiber from EM of Composite (Longitudinal Direction) equation looks like.

0.6 = \frac{200 - 200.025 \cdot 0.4}{200}

0.6 = \frac{200MPa - 200.025MPa \cdot 0.4}{200MPa}

0.6 = \frac{200 - 200.025 \cdot 0.4}{200}

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Volume Fraction of Fiber from EM of Composite (Longitudinal Direction) Solution

Follow our step by step solution on how to calculate Volume Fraction of Fiber from EM of Composite (Longitudinal Direction)?

FIRST Step Consider the formula

V f = \frac{E cl - E m \cdot V m}{E f}

Next Step Substitute values of Variables

∴

V f = \frac{200MPa - 200.025MPa \cdot 0.4}{200MPa}

Next Step Convert Units

∴

V f = \frac{2E+8Pa - 2E+8Pa \cdot 0.4}{2E+8Pa}

Next Step Prepare to Evaluate

∴

V f = \frac{2E+8 - 2E+8 \cdot 0.4}{2E+8}

Next Step Evaluate

∴

V f = 0.59995

LAST Step Rounding Answer

∴

V f = 0.6

Volume Fraction of Fiber from EM of Composite (Longitudinal Direction) Formula Elements

Variables

Volume Fraction of Fiber

Volume Fraction of Fiber also known as fiber volume fraction or simply fiber fraction, is a measure of the volume occupied by fibers within a composite material.

Symbol: V_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Volume Fraction of Fiber

Elastic Modulus Composite (Longitudinal Direction)

Elastic Modulus Composite (Longitudinal Direction) refers to a material property when subjected to tensile or compressive forces along the longitudinal direction.

Symbol: E_cl

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Elastic Modulus Composite (Longitudinal Direction)

Elastic Modulus of Matrix

Elastic Modulus of Matrix typically refers to the elastic modulus or young's modulus of the material composing the matrix phase in a composite material.

Symbol: E_m

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Elastic Modulus of Matrix

Volume Fraction of Matrix

Volume Fraction of Matrix is the Volume fraction of the matrix used in composite.

Symbol: V_m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Volume Fraction of Matrix

Elastic Modulus of Fiber

Elastic Modulus of Fiber, also known as young's modulus, refers to the stiffness of the material, it represents the ratio of stress to strain within the elastic limit of the material.

Symbol: E_f

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Elastic Modulus of Fiber

Other Formulas to find Volume Fraction of Fiber

Go Volume Fraction of Fiber from EM of Composite (Transverse Direction)

V f = \frac{E f}{E ct} - \frac{V m \cdot E f}{E m}

Go Volume Fraction of Fiber from Longitudinal Tensile Strength of Composite

V f = \frac{σ m - σ cl}{σ m - σ f}

Other formulas in Polymer Matrix Composites category

Go Tensile Strength of Fiber given Critical Fiber Length

σ f = \frac{2 \cdot l c \cdot τ}{d}

Go Fiber Diameter given Critical Fiber Length

d = \frac{l c \cdot 2 \cdot τ}{σ f}

Go Fiber-Matrix Bonding Strength given Critical Length of Fiber

τ = \frac{σ f \cdot d}{2 \cdot l c}

Go Volume Fraction of Matrix from EM of Composite (Longitudinal Direction)

V m = \frac{E cl - E f \cdot V f}{E m}

How to Evaluate Volume Fraction of Fiber from EM of Composite (Longitudinal Direction)?

Volume Fraction of Fiber from EM of Composite (Longitudinal Direction) evaluator uses Volume Fraction of Fiber = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Matrix*Volume Fraction of Matrix)/Elastic Modulus of Fiber to evaluate the Volume Fraction of Fiber, Volume Fraction of Fiber from EM of Composite (Longitudinal Direction) can be defined from the effective modulus (EM) of the composite in the longitudinal direction. This relationship is often expressed using various micromechanical models such as the rule of mixtures, Halpin-Tsai model, or Mori-Tanaka model. Volume Fraction of Fiber is denoted by V_f symbol.

How to evaluate Volume Fraction of Fiber from EM of Composite (Longitudinal Direction) using this online evaluator? To use this online evaluator for Volume Fraction of Fiber from EM of Composite (Longitudinal Direction), enter Elastic Modulus Composite (Longitudinal Direction) (E_cl), Elastic Modulus of Matrix (E_m), Volume Fraction of Matrix (V_m) & Elastic Modulus of Fiber (E_f) and hit the calculate button.

FAQs on Volume Fraction of Fiber from EM of Composite (Longitudinal Direction)

What is the formula to find Volume Fraction of Fiber from EM of Composite (Longitudinal Direction)?

The formula of Volume Fraction of Fiber from EM of Composite (Longitudinal Direction) is expressed as Volume Fraction of Fiber = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Matrix*Volume Fraction of Matrix)/Elastic Modulus of Fiber. Here is an example- 0.59995 = (200000000-200025000*0.4)/200000000.

How to calculate Volume Fraction of Fiber from EM of Composite (Longitudinal Direction)?

With Elastic Modulus Composite (Longitudinal Direction) (E_cl), Elastic Modulus of Matrix (E_m), Volume Fraction of Matrix (V_m) & Elastic Modulus of Fiber (E_f) we can find Volume Fraction of Fiber from EM of Composite (Longitudinal Direction) using the formula - Volume Fraction of Fiber = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Matrix*Volume Fraction of Matrix)/Elastic Modulus of Fiber.

What are the other ways to Calculate Volume Fraction of Fiber?

Here are the different ways to Calculate Volume Fraction of Fiber-

Volume Fraction of Fiber=Elastic Modulus of Fiber/Elastic Modulus Composite (Transverse Direction)-(Volume Fraction of Matrix*Elastic Modulus of Fiber)/Elastic Modulus of Matrix
Volume Fraction of Fiber=(Tensile Strength of Matrix-Longitudinal Strength of Composite)/(Tensile Strength of Matrix-Tensile Strength of Fiber)

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Volume Fraction of Fiber from EM of Composite (Longitudinal Direction) Formula

​GoVolume Fraction of Fiber from EM of Composite (Transverse Direction) Formula

​GoVolume Fraction of Fiber from Longitudinal Tensile Strength of Composite Formula

Volume Fraction of Fiber from EM of Composite (Longitudinal Direction) Example

Volume Fraction of Fiber from EM of Composite (Longitudinal Direction) Solution

Volume Fraction of Fiber from EM of Composite (Longitudinal Direction) Formula Elements

Other Formulas to find Volume Fraction of Fiber

Other formulas in Polymer Matrix Composites category

How to Evaluate Volume Fraction of Fiber from EM of Composite (Longitudinal Direction)?

FAQs on Volume Fraction of Fiber from EM of Composite (Longitudinal Direction)

Variable Name

GoVolume Fraction of Fiber from EM of Composite (Transverse Direction) Formula

GoVolume Fraction of Fiber from Longitudinal Tensile Strength of Composite Formula