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Elastic Modulus of Composite in Longitudinal Direction Calculator

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Elastic Modulus Polymer Matrix Composites

✖Elastic Modulus of Matrix typically refers to the elastic modulus or young's modulus of the material composing the matrix phase in a composite material.ⓘ Elastic Modulus of Matrix [E_m]			+10% -10%
✖Volume Fraction of Matrix is the Volume fraction of the matrix used in composite.ⓘ Volume Fraction of Matrix [V_m]			+10% -10%
✖Elastic Modulus of Fiber, also known as young's modulus, refers to the stiffness of the material, it represents the ratio of stress to strain within the elastic limit of the material.ⓘ Elastic Modulus of Fiber [E_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 [V_f]			+10% -10%

✖Elastic Modulus Composite (Longitudinal Direction) refers to a material property when subjected to tensile or compressive forces along the longitudinal direction.ⓘ Elastic Modulus of Composite in Longitudinal Direction [E_cl]

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Elastic Modulus of Composite in Longitudinal Direction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elastic Modulus Composite (Longitudinal Direction) = Elastic Modulus of Matrix*Volume Fraction of Matrix+Elastic Modulus of Fiber*Volume Fraction of Fiber
E_cl = E_m*V_m+E_f*V_f
This formula uses 5 Variables

Variables Used

Elastic Modulus Composite (Longitudinal Direction) - (Measured in Pascal) - Elastic Modulus Composite (Longitudinal Direction) refers to a material property when subjected to tensile or compressive forces along the longitudinal direction.
Elastic Modulus of Matrix - (Measured in Pascal) - Elastic Modulus of Matrix typically refers to the elastic modulus or young's modulus of the material composing the matrix phase in a composite material.
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, also known as young's modulus, refers to the stiffness of the material, it represents the ratio of stress to strain within the elastic limit of the material.
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.

STEP 1: Convert Input(s) to Base Unit

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)
Volume Fraction of Fiber: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_cl = E_m*V_m+E_f*V_f --> 200025000*0.4+200000000*0.6

Evaluating ... ...

E_cl = 200010000

STEP 3: Convert Result to Output's Unit

200010000 Pascal -->200.01 Megapascal (Check conversion here)

FINAL ANSWER

200.01 Megapascal <-- Elastic Modulus Composite (Longitudinal Direction)

(Calculation completed in 00.004 seconds)

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Created by Rajat Vishwakarma

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

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< Elastic Modulus Calculators

Elastic Modulus of Fiber using Composite (Transverse Direction)

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

Elastic Modulus of Composite in Transverse Direction

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

Elastic Modulus of Matrix using Composite's Longitudinal Direction

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

Elastic Modulus of Fiber using Composite's Longitudinal Direction

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

Elastic Modulus of Composite in Longitudinal Direction Formula

LaTeX Go

Elastic Modulus Composite (Longitudinal Direction) = Elastic Modulus of Matrix*Volume Fraction of Matrix+Elastic Modulus of Fiber*Volume Fraction of Fiber
E_cl = E_m*V_m+E_f*V_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 Elastic Modulus of Composite in Longitudinal Direction?

Elastic Modulus of Composite in Longitudinal Direction calculator uses Elastic Modulus Composite (Longitudinal Direction) = Elastic Modulus of Matrix*Volume Fraction of Matrix+Elastic Modulus of Fiber*Volume Fraction of Fiber to calculate the Elastic Modulus Composite (Longitudinal Direction), Elastic Modulus of Composite in Longitudinal Direction can be defined using the rule of mixtures, which is an approximation used to estimate the properties of composite materials based on the properties of its constituents, this formula essentially states that the overall elastic modulus of the composite in the longitudinal direction is a weighted average of the elastic moduli of the fiber and matrix phases, where the weights are the volume fractions of each phase. Elastic Modulus Composite (Longitudinal Direction) is denoted by E_cl symbol.

How to calculate Elastic Modulus of Composite in Longitudinal Direction using this online calculator? To use this online calculator for Elastic Modulus of Composite in Longitudinal Direction, enter Elastic Modulus of Matrix (E_m), Volume Fraction of Matrix (V_m), Elastic Modulus of Fiber (E_f) & Volume Fraction of Fiber (V_f) and hit the calculate button. Here is how the Elastic Modulus of Composite in Longitudinal Direction calculation can be explained with given input values -> 0.0002 = 200025000*0.4+200000000*0.6.

FAQ

What is Elastic Modulus of Composite in Longitudinal Direction?

Elastic Modulus of Composite in Longitudinal Direction can be defined using the rule of mixtures, which is an approximation used to estimate the properties of composite materials based on the properties of its constituents, this formula essentially states that the overall elastic modulus of the composite in the longitudinal direction is a weighted average of the elastic moduli of the fiber and matrix phases, where the weights are the volume fractions of each phase and is represented as E_cl = E_m*V_m+E_f*V_f or Elastic Modulus Composite (Longitudinal Direction) = Elastic Modulus of Matrix*Volume Fraction of Matrix+Elastic Modulus of Fiber*Volume Fraction of Fiber. Elastic Modulus of Matrix typically refers to the elastic modulus or young's modulus of the material composing the matrix phase in a composite material, Volume Fraction of Matrix is the Volume fraction of the matrix used in composite, Elastic Modulus of Fiber, also known as young's modulus, refers to the stiffness of the material, it represents the ratio of stress to strain within the elastic limit of the material & 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.

How to calculate Elastic Modulus of Composite in Longitudinal Direction?

Elastic Modulus of Composite in Longitudinal Direction can be defined using the rule of mixtures, which is an approximation used to estimate the properties of composite materials based on the properties of its constituents, this formula essentially states that the overall elastic modulus of the composite in the longitudinal direction is a weighted average of the elastic moduli of the fiber and matrix phases, where the weights are the volume fractions of each phase is calculated using Elastic Modulus Composite (Longitudinal Direction) = Elastic Modulus of Matrix*Volume Fraction of Matrix+Elastic Modulus of Fiber*Volume Fraction of Fiber. To calculate Elastic Modulus of Composite in Longitudinal Direction, you need Elastic Modulus of Matrix (E_m), Volume Fraction of Matrix (V_m), Elastic Modulus of Fiber (E_f) & Volume Fraction of Fiber (V_f). With our tool, you need to enter the respective value for Elastic Modulus of Matrix, Volume Fraction of Matrix, Elastic Modulus of Fiber & Volume Fraction of Fiber 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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