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Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) Formula

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Longitudinal strength of composite(discontinous fiber less than lc) that is the length of fiber is smaller than the critical length in discontinuous aligned fiber reinforced composite. Check FAQs

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

σ_cd' - Longitudinal strength of composite(discontinous fiber less than lc)?V_f - Volume Fraction of Fiber?l - Fiber length?τ_c - Critical Shear Stress?d - Fiber Diameter?τ_m - Stress in Matrix?

Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) Example

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Here is how the Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) equation looks like with Values.

Here is how the Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) equation looks like with Units.

Here is how the Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) equation looks like.

4035 = (0.5 \cdot 0.001 \cdot \frac{80}{0.01}) + 70 \cdot (1 - 0.5)

4035MPa = (0.5 \cdot 0.001m \cdot \frac{80MPa}{0.01mm}) + 70MPa \cdot (1 - 0.5)

4035 = (0.5 \cdot 0.001 \cdot \frac{80}{0.01}) + 70 \cdot (1 - 0.5)

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Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) Solution

Follow our step by step solution on how to calculate Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length)?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ cd' = (0.5 \cdot 0.001m \cdot \frac{80MPa}{0.01mm}) + 70MPa \cdot (1 - 0.5)

Next Step Convert Units

∴

σ cd' = (0.5 \cdot 0.001m \cdot \frac{8E+7Pa}{1E-5m}) + 7E+7Pa \cdot (1 - 0.5)

Next Step Prepare to Evaluate

∴

σ cd' = (0.5 \cdot 0.001 \cdot \frac{8E+7}{1E-5}) + 7E+7 \cdot (1 - 0.5)

Next Step Evaluate

∴

σ cd' = 4035000000Pa

LAST Step Convert to Output's Unit

∴

σ cd' = 4035MPa

Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) Formula Elements

Variables

Longitudinal strength of composite(discontinous fiber less than lc)

Longitudinal strength of composite(discontinous fiber less than lc) that is the length of fiber is smaller than the critical length in discontinuous aligned fiber reinforced composite.

Symbol: σ_cd'

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Longitudinal strength of composite(discontinous fiber less than lc)

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

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

Critical Shear Stress

Critical shear stress is either the fiber-matrix bond strength or the shear yield stress of matrix, whichever is lower.

Symbol: τ_c

Measurement: PressureUnit: MPa

Note: Value should be greater than 0.

Formulas to find Critical Shear Stress

Fiber Diameter

Fiber Diameter in the fiber-reinforced composites.

Symbol: d

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Fiber Diameter

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 ( less than critical length)?

Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) evaluator uses Longitudinal strength of composite(discontinous fiber less than lc) = (Volume Fraction of Fiber*Fiber length*Critical Shear Stress/Fiber Diameter)+Stress in Matrix*(1-Volume Fraction of Fiber) to evaluate the Longitudinal strength of composite(discontinous fiber less than lc), Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) that is length of fiber is less than critical length. Longitudinal strength of composite(discontinous fiber less than lc) is denoted by σ_cd' symbol.

How to evaluate Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) using this online evaluator? To use this online evaluator for Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length), enter Volume Fraction of Fiber (V_f), Fiber length (l), Critical Shear Stress (τ_c), Fiber Diameter (d) & Stress in Matrix (τ_m) and hit the calculate button.

FAQs on Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length)

What is the formula to find Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length)?

The formula of Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) is expressed as Longitudinal strength of composite(discontinous fiber less than lc) = (Volume Fraction of Fiber*Fiber length*Critical Shear Stress/Fiber Diameter)+Stress in Matrix*(1-Volume Fraction of Fiber). Here is an example- 0.004035 = (0.5*0.001*80000000/1E-05)+70000000*(1-0.5).

How to calculate Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length)?

With Volume Fraction of Fiber (V_f), Fiber length (l), Critical Shear Stress (τ_c), Fiber Diameter (d) & Stress in Matrix (τ_m) we can find Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) using the formula - Longitudinal strength of composite(discontinous fiber less than lc) = (Volume Fraction of Fiber*Fiber length*Critical Shear Stress/Fiber Diameter)+Stress in Matrix*(1-Volume Fraction of Fiber).

Can the Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) be negative?

No, the Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length), measured in Pressure cannot be negative.

Which unit is used to measure Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length)?

Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) 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 ( less than critical length) can be measured.

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Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) Formula

Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) Example

Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) Solution

Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) Formula Elements

Other formulas in Ceramics and Composites category

How to Evaluate Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length)?

FAQs on Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length)

Variable Name