Young's Modulus of composite in longitudinal direction Calculator

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✖Young's modulus of matrix in composite.ⓘ Young's modulus of matrix in composite [E_m]			+10% -10%
✖Volume Fraction of Fiber in fiber reinforced composite.ⓘ Volume Fraction of Fiber [V_f]			+10% -10%
✖Young's modulus of fiber in composite (Fiber-reinforced composite).ⓘ Young's modulus of fiber in composite [E_f]			+10% -10%

✖Young's modulus of composite in longitudinal direction, the composite considered here is aligned and fiber reinforced composite.ⓘ Young's Modulus of composite in longitudinal direction [E_cl]

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Young's Modulus of composite in longitudinal direction

Formula

`"E"_{"cl"} = "E"_{"m"}*(1-"V"_{"f"})+"E"_{"f"}*"V"_{"f"}`

Example

`"19.5GPa"="4GPa"*(1-"0.5")+"35GPa"*"0.5"`

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Young's Modulus of composite in longitudinal direction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Young's modulus of composite in longitudinal direction = Young's modulus of matrix in composite*(1-Volume Fraction of Fiber)+Young's modulus of fiber in composite*Volume Fraction of Fiber
E_cl = E_m*(1-V_f)+E_f*V_f
This formula uses 4 Variables

Variables Used

Young's modulus of composite in longitudinal direction - (Measured in Pascal) - Young's modulus of composite in longitudinal direction, the composite considered here is aligned and fiber reinforced composite.
Young's modulus of matrix in composite - (Measured in Pascal) - Young's modulus of matrix in composite.
Volume Fraction of Fiber - Volume Fraction of Fiber in fiber reinforced composite.
Young's modulus of fiber in composite - (Measured in Pascal) - Young's modulus of fiber in composite (Fiber-reinforced composite).

STEP 1: Convert Input(s) to Base Unit

Young's modulus of matrix in composite: 4 Gigapascal --> 4000000000 Pascal (Check conversion here)
Volume Fraction of Fiber: 0.5 --> No Conversion Required
Young's modulus of fiber in composite: 35 Gigapascal --> 35000000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_cl = E_m*(1-V_f)+E_f*V_f --> 4000000000*(1-0.5)+35000000000*0.5

Evaluating ... ...

E_cl = 19500000000

STEP 3: Convert Result to Output's Unit

19500000000 Pascal -->19.5 Gigapascal (Check conversion here)

FINAL ANSWER

19.5 Gigapascal <-- Young's modulus of composite in longitudinal direction

(Calculation completed in 00.004 seconds)

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Created by Hariharan V S

Indian Institute of Technology (IIT), Chennai

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< 10+ Ceramics and Composites Calculators

Young's Modulus of composite in transverse direction

Go Young's modulus in transverse direction = (Young's modulus of matrix in composite*Young's modulus of fiber in composite)/(Volume Fraction of Fiber*Young's modulus of matrix in composite+(1-Volume Fraction of Fiber)*Young's modulus of fiber in composite)

Longitudinal strength of discontinuous fiber-reinforced composite

Go 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)

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

Go 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)

Young's Modulus of composite in longitudinal direction

Go Young's modulus of composite in longitudinal direction = Young's modulus of matrix in composite*(1-Volume Fraction of Fiber)+Young's modulus of fiber in composite*Volume Fraction of Fiber

Young's Modulus of porous material

Go Young's modulus of porous material = Young's modulus of non-porous material*(1-(0.019*Volume Percent of Porosity)+(0.00009*Volume Percent of Porosity*Volume Percent of Porosity))

Schottky Defect Concentration

Go Number of Schottky Defects = Number of atomic sites*exp(-Activation energy for Schottky formation/(2*Universal Gas Constant*Temperature))

Longitudinal Strength of Composite

Go Longitudinal Strength of Composite = Stress in Matrix*(1-Volume Fraction of Fiber)+Tensile Strength of Fiber*Volume Fraction of Fiber

Percent ionic character

Go Percent Ionic Character = 100*(1-exp(-0.25*(Electronegativity of element A-Electronegativity of element B)^2))

Critical Fiber Length

Go Critical Fiber Length = Tensile Strength of Fiber*Fiber Diameter/(2*Critical Shear Stress)

Young's Modulus from shear modulus

Go Young's Modulus = 2*Shear Modulus*(1+Poisson's Ratio)

Young's Modulus of composite in longitudinal direction Formula

Assumptions used

Fiber–matrix interfacial bond is very good, such that deformation of both matrix and fibers is the same (an isostrain condition). Under these conditions, the total load sustained by the composite is equal to the sum of the loads carried by the matrix phase and the fiber phase.

How to Calculate Young's Modulus of composite in longitudinal direction?

Young's Modulus of composite in longitudinal direction calculator uses Young's modulus of composite in longitudinal direction = Young's modulus of matrix in composite*(1-Volume Fraction of Fiber)+Young's modulus of fiber in composite*Volume Fraction of Fiber to calculate the Young's modulus of composite in longitudinal direction, Young's Modulus of composite in longitudinal direction, the composite considered here is aligned, continuous fiber reinforced composite. Young's modulus of composite in longitudinal direction is denoted by E_cl symbol.

How to calculate Young's Modulus of composite in longitudinal direction using this online calculator? To use this online calculator for Young's Modulus of composite in longitudinal direction, enter Young's modulus of matrix in composite (E_m), Volume Fraction of Fiber (V_f) & Young's modulus of fiber in composite (E_f) and hit the calculate button. Here is how the Young's Modulus of composite in longitudinal direction calculation can be explained with given input values -> 2E-8 = 4000000000*(1-0.5)+35000000000*0.5.

FAQ

What is Young's Modulus of composite in longitudinal direction?

Young's Modulus of composite in longitudinal direction, the composite considered here is aligned, continuous fiber reinforced composite and is represented as E_cl = E_m*(1-V_f)+E_f*V_f or Young's modulus of composite in longitudinal direction = Young's modulus of matrix in composite*(1-Volume Fraction of Fiber)+Young's modulus of fiber in composite*Volume Fraction of Fiber. Young's modulus of matrix in composite, Volume Fraction of Fiber in fiber reinforced composite & Young's modulus of fiber in composite (Fiber-reinforced composite).

How to calculate Young's Modulus of composite in longitudinal direction?

Young's Modulus of composite in longitudinal direction, the composite considered here is aligned, continuous fiber reinforced composite is calculated using Young's modulus of composite in longitudinal direction = Young's modulus of matrix in composite*(1-Volume Fraction of Fiber)+Young's modulus of fiber in composite*Volume Fraction of Fiber. To calculate Young's Modulus of composite in longitudinal direction, you need Young's modulus of matrix in composite (E_m), Volume Fraction of Fiber (V_f) & Young's modulus of fiber in composite (E_f). With our tool, you need to enter the respective value for Young's modulus of matrix in composite, Volume Fraction of Fiber & Young's modulus of fiber in composite and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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