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Elastic Modulus of Matrix using Composite's Longitudinal Direction Formula

GoElastic Modulus of Matrix using Composite (Transverse Direction) Formula

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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. Check FAQs

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

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

Elastic Modulus of Matrix using Composite's Longitudinal Direction Example

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Here is how the Elastic Modulus of Matrix using Composite's Longitudinal Direction equation looks like with Values.

Here is how the Elastic Modulus of Matrix using Composite's Longitudinal Direction equation looks like with Units.

Here is how the Elastic Modulus of Matrix using Composite's Longitudinal Direction equation looks like.

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

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

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

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Elastic Modulus of Matrix using Composite's Longitudinal Direction Solution

Follow our step by step solution on how to calculate Elastic Modulus of Matrix using Composite's Longitudinal Direction?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

E m = \frac{200MPa - 200MPa \cdot 0.6}{0.4}

Next Step Convert Units

∴

E m = \frac{2E+8Pa - 2E+8Pa \cdot 0.6}{0.4}

Next Step Prepare to Evaluate

∴

E m = \frac{2E+8 - 2E+8 \cdot 0.6}{0.4}

Next Step Evaluate

∴

E m = 200000000Pa

LAST Step Convert to Output's Unit

∴

E m = 200MPa

Elastic Modulus of Matrix using Composite's Longitudinal Direction Formula Elements

Variables

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

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 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

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

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

Other Formulas to find Elastic Modulus of Matrix

Go Elastic Modulus of Matrix using Composite (Transverse Direction)

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

Other formulas in Elastic Modulus category

Go Elastic Modulus of Fiber using Composite's Longitudinal Direction

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

Go Elastic Modulus of Fiber using Composite (Transverse Direction)

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

Go Elastic Modulus of Composite in Transverse Direction

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

Go Elastic Modulus of Composite in Longitudinal Direction

E cl = E m \cdot V m + E f \cdot V f

How to Evaluate Elastic Modulus of Matrix using Composite's Longitudinal Direction?

Elastic Modulus of Matrix using Composite's Longitudinal Direction evaluator uses Elastic Modulus of Matrix = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Fiber*Volume Fraction of Fiber)/Volume Fraction of Matrix to evaluate the Elastic Modulus of Matrix, Elastic Modulus of Matrix using Composite's Longitudinal Direction can be defined using the rule of mixtures, the rule of mixtures is a simple linear approximation that estimates the overall properties of a composite material based on the properties of its constituents. Elastic Modulus of Matrix is denoted by E_m symbol.

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

FAQs on Elastic Modulus of Matrix using Composite's Longitudinal Direction

What is the formula to find Elastic Modulus of Matrix using Composite's Longitudinal Direction?

The formula of Elastic Modulus of Matrix using Composite's Longitudinal Direction is expressed as Elastic Modulus of Matrix = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Fiber*Volume Fraction of Fiber)/Volume Fraction of Matrix. Here is an example- 0.0002 = (200000000-200000000*0.6)/0.4.

How to calculate Elastic Modulus of Matrix using Composite's Longitudinal Direction?

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

What are the other ways to Calculate Elastic Modulus of Matrix?

Here are the different ways to Calculate Elastic Modulus of Matrix-

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

Can the Elastic Modulus of Matrix using Composite's Longitudinal Direction be negative?

Yes, the Elastic Modulus of Matrix using Composite's Longitudinal Direction, measured in Pressure can be negative.

Which unit is used to measure Elastic Modulus of Matrix using Composite's Longitudinal Direction?

Elastic Modulus of Matrix using Composite's Longitudinal Direction is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Elastic Modulus of Matrix using Composite's Longitudinal Direction can be measured.

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Elastic Modulus of Matrix using Composite's Longitudinal Direction Formula

​GoElastic Modulus of Matrix using Composite (Transverse Direction) Formula

Elastic Modulus of Matrix using Composite's Longitudinal Direction Example

Elastic Modulus of Matrix using Composite's Longitudinal Direction Solution

Elastic Modulus of Matrix using Composite's Longitudinal Direction Formula Elements

Other Formulas to find Elastic Modulus of Matrix

Other formulas in Elastic Modulus category

How to Evaluate Elastic Modulus of Matrix using Composite's Longitudinal Direction?

FAQs on Elastic Modulus of Matrix using Composite's Longitudinal Direction

Variable Name

GoElastic Modulus of Matrix using Composite (Transverse Direction) Formula