Volume Fraction of Fiber from Longitudinal Tensile Strength of Composite Calculator

✖Tensile Strength of Matrix is the strength of matrix material used in composite.ⓘ Tensile Strength of Matrix [σ_m]			+10% -10%
✖Longitudinal Strength of Composite to its strength along the direction of the fibers or reinforcement.ⓘ Longitudinal Strength of Composite [σ_cl]			+10% -10%
✖Tensile Strength of Fiber refers to the maximum stress a material can withstand while being stretched or pulled before breaking.ⓘ Tensile Strength of Fiber [σ_f]			+10% -10%

✖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.ⓘ Volume Fraction of Fiber from Longitudinal Tensile Strength of Composite [V_f]

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Formula

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Volume Fraction of Fiber from Longitudinal Tensile Strength of Composite

Formula

`"V"_{"f"} = ("σ"_{"m"}-"σ"_{"cl"})/("σ"_{"m"}-"σ"_{"f"})`

Example

`"0.6"=("70MPa"-"31.825MPa")/("70MPa"-"6.375MPa")`

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Volume Fraction of Fiber from Longitudinal Tensile Strength of Composite Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume Fraction of Fiber = (Tensile Strength of Matrix-Longitudinal Strength of Composite)/(Tensile Strength of Matrix-Tensile Strength of Fiber)
V_f = (σ_m-σ_cl)/(σ_m-σ_f)
This formula uses 4 Variables

Variables Used

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.
Tensile Strength of Matrix - (Measured in Pascal) - Tensile Strength of Matrix is the strength of matrix material used in composite.
Longitudinal Strength of Composite - (Measured in Pascal) - Longitudinal Strength of Composite to its strength along the direction of the fibers or reinforcement.
Tensile Strength of Fiber - (Measured in Pascal) - Tensile Strength of Fiber refers to the maximum stress a material can withstand while being stretched or pulled before breaking.

STEP 1: Convert Input(s) to Base Unit

Tensile Strength of Matrix: 70 Megapascal --> 70000000 Pascal (Check conversion here)
Longitudinal Strength of Composite: 31.825 Megapascal --> 31825000 Pascal (Check conversion here)
Tensile Strength of Fiber: 6.375 Megapascal --> 6375000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_f = (σ_m-σ_cl)/(σ_m-σ_f) --> (70000000-31825000)/(70000000-6375000)

Evaluating ... ...

V_f = 0.6

STEP 3: Convert Result to Output's Unit

0.6 --> No Conversion Required

FINAL ANSWER

0.6 <-- Volume Fraction of Fiber

(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

Rajat Vishwakarma has created this Calculator and 400+ more calculators!

Verified by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has verified this Calculator and 400+ more calculators!

< 12 Polymer Matrix Composites Calculators

Volume Fraction of Matrix from EM of Composite (Transverse direction)

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

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

Go 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 Matrix from EM of Composite (Longitudinal Direction)

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

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

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

Tensile Strength of Matrix given Longitudinal Tensile Strength of Composite

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

Tensile Strength of Fiber from Longitudinal Tensile Strength of Composite

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

Volume Fraction of Fiber from Longitudinal Tensile Strength of Composite

Go Volume Fraction of Fiber = (Tensile Strength of Matrix-Longitudinal Strength of Composite)/(Tensile Strength of Matrix-Tensile Strength of Fiber)

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

Fiber-Matrix Bonding Strength given Critical Length of Fiber

Go Fiber Matrix Bonding Strength = (Tensile Strength of Fiber*Fiber Diameter)/(2*Critical Fiber Length)

Tensile Strength of Fiber given Critical Fiber Length

Go Tensile Strength of Fiber = (2*Critical Fiber Length*Fiber Matrix Bonding Strength)/Fiber Diameter

Fiber Diameter given Critical Fiber Length

Go Fiber Diameter = (Critical Fiber Length*2*Fiber Matrix Bonding Strength)/Tensile Strength of Fiber

Critical Fiber Length

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

Volume Fraction of Fiber from Longitudinal Tensile Strength of Composite Formula

Volume Fraction of Fiber = (Tensile Strength of Matrix-Longitudinal Strength of Composite)/(Tensile Strength of Matrix-Tensile Strength of Fiber)
V_f = (σ_m-σ_cl)/(σ_m-σ_f)

What are polymer matrix composites (PMC)?

Polymer matrix composites have organic polymer matrix with strengthening fibers in the matrix. Matrix holds and protects the fibers in place while transmitting the load to them. Advanced composites are a class of Polymer matrix composites that have high mechanical properties (strength and stiffness) compared to the normal reinforced plastics and are used in aerospace applications. Reinforced plastics are relatively inexpensive and are widely used.

How to Calculate Volume Fraction of Fiber from Longitudinal Tensile Strength of Composite?

Volume Fraction of Fiber from Longitudinal Tensile Strength of Composite calculator uses Volume Fraction of Fiber = (Tensile Strength of Matrix-Longitudinal Strength of Composite)/(Tensile Strength of Matrix-Tensile Strength of Fiber) to calculate the Volume Fraction of Fiber, Volume Fraction of Fiber from Longitudinal Tensile Strength of Composite allows to calculate the volume fraction of fiber in the composite material based on its longitudinal tensile strength and the tensile strength of the individual fibers. Volume Fraction of Fiber is denoted by V_f symbol.

How to calculate Volume Fraction of Fiber from Longitudinal Tensile Strength of Composite using this online calculator? To use this online calculator for Volume Fraction of Fiber from Longitudinal Tensile Strength of Composite, enter Tensile Strength of Matrix (σ_m), Longitudinal Strength of Composite (σ_cl) & Tensile Strength of Fiber (σ_f) and hit the calculate button. Here is how the Volume Fraction of Fiber from Longitudinal Tensile Strength of Composite calculation can be explained with given input values -> 0.6 = (70000000-31825000)/(70000000-6375000).

FAQ

What is Volume Fraction of Fiber from Longitudinal Tensile Strength of Composite?

Volume Fraction of Fiber from Longitudinal Tensile Strength of Composite allows to calculate the volume fraction of fiber in the composite material based on its longitudinal tensile strength and the tensile strength of the individual fibers and is represented as V_f = (σ_m-σ_cl)/(σ_m-σ_f) or Volume Fraction of Fiber = (Tensile Strength of Matrix-Longitudinal Strength of Composite)/(Tensile Strength of Matrix-Tensile Strength of Fiber). Tensile Strength of Matrix is the strength of matrix material used in composite, Longitudinal Strength of Composite to its strength along the direction of the fibers or reinforcement & Tensile Strength of Fiber refers to the maximum stress a material can withstand while being stretched or pulled before breaking.

How to calculate Volume Fraction of Fiber from Longitudinal Tensile Strength of Composite?

Volume Fraction of Fiber from Longitudinal Tensile Strength of Composite allows to calculate the volume fraction of fiber in the composite material based on its longitudinal tensile strength and the tensile strength of the individual fibers is calculated using Volume Fraction of Fiber = (Tensile Strength of Matrix-Longitudinal Strength of Composite)/(Tensile Strength of Matrix-Tensile Strength of Fiber). To calculate Volume Fraction of Fiber from Longitudinal Tensile Strength of Composite, you need Tensile Strength of Matrix (σ_m), Longitudinal Strength of Composite (σ_cl) & Tensile Strength of Fiber (σ_f). With our tool, you need to enter the respective value for Tensile Strength of Matrix, Longitudinal Strength of Composite & Tensile Strength of Fiber and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume Fraction of Fiber?

In this formula, Volume Fraction of Fiber uses Tensile Strength of Matrix, Longitudinal Strength of Composite & Tensile Strength of Fiber. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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