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Longitudinal strength of discontinuous fiber-reinforced composite Formula

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Longitudinal strength of composite(discontinous fiber) that is discontinuous and aligned fiber matrix composite. The length of fiber is greater than the critical length. Check FAQs

σ cd = σ f \cdot V f \cdot (1 - (\frac{l c}{2 \cdot l})) + τ m \cdot (1 - V f)

σ_cd - Longitudinal strength of composite(discontinous fiber)?σ_f - Tensile Strength of Fiber?V_f - Volume Fraction of Fiber?l_c - Critical Fiber Length?l - Fiber length?τ_m - Stress in Matrix?

Longitudinal strength of discontinuous fiber-reinforced composite Example

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Here is how the Longitudinal strength of discontinuous fiber-reinforced composite equation looks like with Values.

Here is how the Longitudinal strength of discontinuous fiber-reinforced composite equation looks like with Units.

Here is how the Longitudinal strength of discontinuous fiber-reinforced composite equation looks like.

109.375 = 170 \cdot 0.5 \cdot (1 - (\frac{0.25}{2 \cdot 0.001})) + 70 \cdot (1 - 0.5)

109.375MPa = 170MPa \cdot 0.5 \cdot (1 - (\frac{0.25mm}{2 \cdot 0.001m})) + 70MPa \cdot (1 - 0.5)

109.375 = 170 \cdot 0.5 \cdot (1 - (\frac{0.25}{2 \cdot 0.001})) + 70 \cdot (1 - 0.5)

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Longitudinal strength of discontinuous fiber-reinforced composite Solution

Follow our step by step solution on how to calculate Longitudinal strength of discontinuous fiber-reinforced composite?

FIRST Step Consider the formula

σ cd = σ f \cdot V f \cdot (1 - (\frac{l c}{2 \cdot l})) + τ m \cdot (1 - V f)

Next Step Substitute values of Variables

∴

σ cd = 170MPa \cdot 0.5 \cdot (1 - (\frac{0.25mm}{2 \cdot 0.001m})) + 70MPa \cdot (1 - 0.5)

Next Step Convert Units

∴

σ cd = 1.7E+8Pa \cdot 0.5 \cdot (1 - (\frac{0.0002m}{2 \cdot 0.001m})) + 7E+7Pa \cdot (1 - 0.5)

Next Step Prepare to Evaluate

∴

σ cd = 1.7E+8 \cdot 0.5 \cdot (1 - (\frac{0.0002}{2 \cdot 0.001})) + 7E+7 \cdot (1 - 0.5)

Next Step Evaluate

∴

σ cd = 109375000Pa

LAST Step Convert to Output's Unit

∴

σ cd = 109.375MPa

Longitudinal strength of discontinuous fiber-reinforced composite Formula Elements

Variables

Longitudinal strength of composite(discontinous fiber)

Longitudinal strength of composite(discontinous fiber) that is discontinuous and aligned fiber matrix composite. The length of fiber is greater than the critical length.

Symbol: σ_cd

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Longitudinal strength of composite(discontinous fiber)

Tensile Strength of Fiber

Tensile Strength of Fiber in the fiber-reinforced composite.

Symbol: σ_f

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Tensile Strength of Fiber

Volume Fraction of Fiber

Volume Fraction of Fiber in fiber reinforced composite.

Symbol: V_f

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Volume Fraction of Fiber

Critical Fiber Length

Critical fiber length that is necessary for effective strengthening and stiffening of the composite material.

Symbol: l_c

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Critical Fiber Length

Fiber length

Fiber length is a statistical average length of fibers present in the composite.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Fiber length

Stress in Matrix

Stress in matrix is the stress at the failure of composite.

Symbol: τ_m

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Stress in Matrix

Other formulas in Ceramics and Composites category

Go Critical Fiber Length

l c = σ f \cdot \frac{d}{2 \cdot τ c}

Go Young's Modulus of porous material

E = E 0 \cdot (1 - (0.019 \cdot η v) + (0.00009 \cdot η v \cdot η v))

Go Schottky Defect Concentration

N S = N \cdot \exp (- \frac{Q s}{2 \cdot R \cdot T})

Go Young's Modulus from shear modulus

E = 2 \cdot G \cdot (1 + 𝛎)

How to Evaluate Longitudinal strength of discontinuous fiber-reinforced composite?

Longitudinal strength of discontinuous fiber-reinforced composite evaluator uses Longitudinal strength of composite(discontinous fiber) = Tensile Strength of Fiber*Volume Fraction of Fiber*(1-(Critical Fiber Length/(2*Fiber length)))+Stress in Matrix*(1-Volume Fraction of Fiber) to evaluate the Longitudinal strength of composite(discontinous fiber), Longitudinal strength of discontinuous fiber-reinforced composite ( the fiber is aligned). Longitudinal strength of composite(discontinous fiber) is denoted by σ_cd symbol.

How to evaluate Longitudinal strength of discontinuous fiber-reinforced composite using this online evaluator? To use this online evaluator for Longitudinal strength of discontinuous fiber-reinforced composite, enter Tensile Strength of Fiber (σ_f), Volume Fraction of Fiber (V_f), Critical Fiber Length (l_c), Fiber length (l) & Stress in Matrix (τ_m) and hit the calculate button.

FAQs on Longitudinal strength of discontinuous fiber-reinforced composite

What is the formula to find Longitudinal strength of discontinuous fiber-reinforced composite?

The formula of Longitudinal strength of discontinuous fiber-reinforced composite is expressed as Longitudinal strength of composite(discontinous fiber) = Tensile Strength of Fiber*Volume Fraction of Fiber*(1-(Critical Fiber Length/(2*Fiber length)))+Stress in Matrix*(1-Volume Fraction of Fiber). Here is an example- 0.000109 = 170000000*0.5*(1-(0.00025/(2*0.001)))+70000000*(1-0.5).

How to calculate Longitudinal strength of discontinuous fiber-reinforced composite?

With Tensile Strength of Fiber (σ_f), Volume Fraction of Fiber (V_f), Critical Fiber Length (l_c), Fiber length (l) & Stress in Matrix (τ_m) we can find Longitudinal strength of discontinuous fiber-reinforced composite using the formula - Longitudinal strength of composite(discontinous fiber) = Tensile Strength of Fiber*Volume Fraction of Fiber*(1-(Critical Fiber Length/(2*Fiber length)))+Stress in Matrix*(1-Volume Fraction of Fiber).

Can the Longitudinal strength of discontinuous fiber-reinforced composite be negative?

No, the Longitudinal strength of discontinuous fiber-reinforced composite, measured in Pressure cannot be negative.

Which unit is used to measure Longitudinal strength of discontinuous fiber-reinforced composite?

Longitudinal strength of discontinuous fiber-reinforced composite is usually measured using the Megapascal[MPa] for Pressure. Pascal[MPa], Kilopascal[MPa], Bar[MPa] are the few other units in which Longitudinal strength of discontinuous fiber-reinforced composite can be measured.

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Longitudinal strength of discontinuous fiber-reinforced composite Formula

Longitudinal strength of discontinuous fiber-reinforced composite Example

Longitudinal strength of discontinuous fiber-reinforced composite Solution

Longitudinal strength of discontinuous fiber-reinforced composite Formula Elements

Other formulas in Ceramics and Composites category

How to Evaluate Longitudinal strength of discontinuous fiber-reinforced composite?

FAQs on Longitudinal strength of discontinuous fiber-reinforced composite

Variable Name