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

STEP 0: Pre-Calculation Summary
Formula Used
Volume Fraction of Fiber = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Matrix*Volume Fraction of Matrix)/Elastic Modulus of Fiber
Vf = (ECL-Em*Vm)/Ef
This formula uses 5 Variables
Variables Used
Volume Fraction of Fiber - Volume Fraction of Fiber in fiber reinforced composite.
Elastic Modulus Composite (Longitudinal Direction) - (Measured in Pascal) - Elastic Modulus Composite (Longitudinal Direction) is the elastic modulus of composite in the longitudinal direction.
Elastic Modulus of Matrix - (Measured in Pascal) - Elastic Modulus of Matrix is the ratio of matrix material's tensile stress to strain produced.
Volume Fraction of Matrix - Volume fraction of matrix is the Volume fraction of the matrix used in composite.
Elastic Modulus of Fiber - (Measured in Pascal) - Elastic Modulus of Fiber is Elastic modulus of the fiber.
STEP 1: Convert Input(s) to Base Unit
Elastic Modulus Composite (Longitudinal Direction): 200 Megapascal --> 200000000 Pascal (Check conversion here)
Elastic Modulus of Matrix: 200.025 Megapascal --> 200025000 Pascal (Check conversion here)
Volume Fraction of Matrix: 0.4 --> No Conversion Required
Elastic Modulus of Fiber: 200 Megapascal --> 200000000 Pascal (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vf = (ECL-Em*Vm)/Ef --> (200000000-200025000*0.4)/200000000
Evaluating ... ...
Vf = 0.59995
STEP 3: Convert Result to Output's Unit
0.59995 --> No Conversion Required
FINAL ANSWER
0.59995 <-- Volume Fraction of Fiber
(Calculation completed in 00.020 seconds)

Credits

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 E 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 EM of Composite (Longitudinal Direction) Formula

Volume Fraction of Fiber = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Matrix*Volume Fraction of Matrix)/Elastic Modulus of Fiber
Vf = (ECL-Em*Vm)/Ef

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 EM of Composite (Longitudinal Direction)?

Volume Fraction of Fiber from EM of Composite (Longitudinal Direction) calculator uses Volume Fraction of Fiber = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Matrix*Volume Fraction of Matrix)/Elastic Modulus of Fiber to calculate the Volume Fraction of Fiber, The Volume Fraction of Fiber from EM of Composite (longitudinal direction) formula is defined as the fraction of fiber material present in the composite by volume. Volume Fraction of Fiber is denoted by Vf symbol.

How to calculate Volume Fraction of Fiber from EM of Composite (Longitudinal Direction) using this online calculator? To use this online calculator for Volume Fraction of Fiber from EM of Composite (Longitudinal Direction), enter Elastic Modulus Composite (Longitudinal Direction) (ECL), Elastic Modulus of Matrix (Em), Volume Fraction of Matrix (Vm) & Elastic Modulus of Fiber (Ef) and hit the calculate button. Here is how the Volume Fraction of Fiber from EM of Composite (Longitudinal Direction) calculation can be explained with given input values -> 0.60001 = (200000000-200025000*0.4)/200000000.

FAQ

What is Volume Fraction of Fiber from EM of Composite (Longitudinal Direction)?
The Volume Fraction of Fiber from EM of Composite (longitudinal direction) formula is defined as the fraction of fiber material present in the composite by volume and is represented as Vf = (ECL-Em*Vm)/Ef or Volume Fraction of Fiber = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Matrix*Volume Fraction of Matrix)/Elastic Modulus of Fiber. Elastic Modulus Composite (Longitudinal Direction) is the elastic modulus of composite in the longitudinal direction, Elastic Modulus of Matrix is the ratio of matrix material's tensile stress to strain produced, Volume fraction of matrix is the Volume fraction of the matrix used in composite & Elastic Modulus of Fiber is Elastic modulus of the fiber.
How to calculate Volume Fraction of Fiber from EM of Composite (Longitudinal Direction)?
The Volume Fraction of Fiber from EM of Composite (longitudinal direction) formula is defined as the fraction of fiber material present in the composite by volume is calculated using Volume Fraction of Fiber = (Elastic Modulus Composite (Longitudinal Direction)-Elastic Modulus of Matrix*Volume Fraction of Matrix)/Elastic Modulus of Fiber. To calculate Volume Fraction of Fiber from EM of Composite (Longitudinal Direction), you need Elastic Modulus Composite (Longitudinal Direction) (ECL), Elastic Modulus of Matrix (Em), Volume Fraction of Matrix (Vm) & Elastic Modulus of Fiber (Ef). With our tool, you need to enter the respective value for Elastic Modulus Composite (Longitudinal Direction), Elastic Modulus of Matrix, Volume Fraction of Matrix & Elastic Modulus 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 Elastic Modulus Composite (Longitudinal Direction), Elastic Modulus of Matrix, Volume Fraction of Matrix & Elastic Modulus of Fiber. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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 Fiber = (Tensile Strength of Matrix-Longitudinal Strength of Composite)/(Tensile Strength of Matrix-Tensile Strength of Fiber)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!