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Elastic Modulus of Matrix using Composite (Transverse Direction) Calculator

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Elastic Modulus Polymer Matrix Composites

✖Elastic Modulus Composite (Transverse Direction) refers to a direction perpendicular to the main orientation of the material's fibers or reinforcements.ⓘ Elastic Modulus Composite (Transverse Direction) [E_ct]			+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 Matrix is the Volume fraction of the matrix used in composite.ⓘ Volume Fraction of Matrix [V_m]			+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 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 using Composite (Transverse Direction) [E_m]

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Elastic Modulus of Matrix using Composite (Transverse Direction) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Elastic Modulus of Matrix = (Elastic Modulus Composite (Transverse Direction)*Elastic Modulus of Fiber*Volume Fraction of Matrix)/(Elastic Modulus of Fiber-Elastic Modulus Composite (Transverse Direction)*Volume Fraction of Fiber)
E_m = (E_ct*E_f*V_m)/(E_f-E_ct*V_f)
This formula uses 5 Variables

Variables Used

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.
Elastic Modulus Composite (Transverse Direction) - (Measured in Pascal) - Elastic Modulus Composite (Transverse Direction) refers to a direction perpendicular to the main orientation of the material's fibers or reinforcements.
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 Matrix - Volume Fraction of Matrix is the Volume fraction of the matrix used in composite.
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 Composite (Transverse Direction): 200.01 Megapascal --> 200010000 Pascal (Check conversion here)
Elastic Modulus of Fiber: 200 Megapascal --> 200000000 Pascal (Check conversion here)
Volume Fraction of Matrix: 0.4 --> No Conversion Required
Volume Fraction of Fiber: 0.6 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E_m = (E_ct*E_f*V_m)/(E_f-E_ct*V_f) --> (200010000*200000000*0.4)/(200000000-200010000*0.6)

Evaluating ... ...

E_m = 200025001.875141

STEP 3: Convert Result to Output's Unit

200025001.875141 Pascal -->200.025001875141 Megapascal (Check conversion here)

FINAL ANSWER

200.025001875141 ≈ 200.025 Megapascal <-- Elastic Modulus of Matrix

(Calculation completed in 00.020 seconds)

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Created by Rajat Vishwakarma

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

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

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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 Matrix using Composite (Transverse Direction) Formula

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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 Matrix using Composite (Transverse Direction)?

Elastic Modulus of Matrix using Composite (Transverse Direction) calculator uses Elastic Modulus of Matrix = (Elastic Modulus Composite (Transverse Direction)*Elastic Modulus of Fiber*Volume Fraction of Matrix)/(Elastic Modulus of Fiber-Elastic Modulus Composite (Transverse Direction)*Volume Fraction of Fiber) to calculate the Elastic Modulus of Matrix, Elastic Modulus of Matrix using Composite (Transverse Direction) refers to the ability of the matrix material to resist deformation when stress is applied perpendicular to the direction of reinforcement. This property is crucial in determining the overall mechanical behavior of composite materials, where the matrix acts as a binder for the reinforcing fibers or particles. Elastic Modulus of Matrix is denoted by E_m symbol.

How to calculate Elastic Modulus of Matrix using Composite (Transverse Direction) using this online calculator? To use this online calculator for Elastic Modulus of Matrix using Composite (Transverse Direction), enter Elastic Modulus Composite (Transverse Direction) (E_ct), Elastic Modulus of Fiber (E_f), Volume Fraction of Matrix (V_m) & Volume Fraction of Fiber (V_f) and hit the calculate button. Here is how the Elastic Modulus of Matrix using Composite (Transverse Direction) calculation can be explained with given input values -> 0.0002 = (200010000*200000000*0.4)/(200000000-200010000*0.6).

FAQ

What is Elastic Modulus of Matrix using Composite (Transverse Direction)?

Elastic Modulus of Matrix using Composite (Transverse Direction) refers to the ability of the matrix material to resist deformation when stress is applied perpendicular to the direction of reinforcement. This property is crucial in determining the overall mechanical behavior of composite materials, where the matrix acts as a binder for the reinforcing fibers or particles and is represented as E_m = (E_ct*E_f*V_m)/(E_f-E_ct*V_f) or Elastic Modulus of Matrix = (Elastic Modulus Composite (Transverse Direction)*Elastic Modulus of Fiber*Volume Fraction of Matrix)/(Elastic Modulus of Fiber-Elastic Modulus Composite (Transverse Direction)*Volume Fraction of Fiber). Elastic Modulus Composite (Transverse Direction) refers to a direction perpendicular to the main orientation of the material's fibers or reinforcements, 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 Matrix is the Volume fraction of the matrix used in composite & 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 Matrix using Composite (Transverse Direction)?

Elastic Modulus of Matrix using Composite (Transverse Direction) refers to the ability of the matrix material to resist deformation when stress is applied perpendicular to the direction of reinforcement. This property is crucial in determining the overall mechanical behavior of composite materials, where the matrix acts as a binder for the reinforcing fibers or particles is calculated using Elastic Modulus of Matrix = (Elastic Modulus Composite (Transverse Direction)*Elastic Modulus of Fiber*Volume Fraction of Matrix)/(Elastic Modulus of Fiber-Elastic Modulus Composite (Transverse Direction)*Volume Fraction of Fiber). To calculate Elastic Modulus of Matrix using Composite (Transverse Direction), you need Elastic Modulus Composite (Transverse Direction) (E_ct), Elastic Modulus of Fiber (E_f), Volume Fraction of Matrix (V_m) & Volume Fraction of Fiber (V_f). With our tool, you need to enter the respective value for Elastic Modulus Composite (Transverse Direction), Elastic Modulus of Fiber, Volume Fraction of Matrix & 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.

How many ways are there to calculate Elastic Modulus of Matrix?

In this formula, Elastic Modulus of Matrix uses Elastic Modulus Composite (Transverse Direction), Elastic Modulus of Fiber, Volume Fraction of Matrix & Volume Fraction of Fiber. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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