Young's Modulus of porous material Calculator

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✖Young's modulus of non-porous material under consideration.ⓘ Young's modulus of non-porous material [E₀]			+10% -10%
✖Volume Percent of Porosity in a porous material.ⓘ Volume Percent of Porosity [η_v]			+10% -10%

✖Young's modulus of porous material under consideration.ⓘ Young's Modulus of porous material [E]

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Formula

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Young's Modulus of porous material

Formula

`"E" = "E"_{"0"}*(1-(0.019*"η"_{"v"})+(0.00009*"η"_{"v"}*"η"_{"v"}))`

Example

`"174.375GPa"="300GPa"*(1-(0.019*"25")+(0.00009*"25"*"25"))`

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Young's Modulus of porous material Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
E = E₀*(1-(0.019*η_v)+(0.00009*η_v*η_v))
This formula uses 3 Variables

Variables Used

Young's modulus of porous material - (Measured in Pascal) - Young's modulus of porous material under consideration.
Young's modulus of non-porous material - (Measured in Pascal) - Young's modulus of non-porous material under consideration.
Volume Percent of Porosity - Volume Percent of Porosity in a porous material.

STEP 1: Convert Input(s) to Base Unit

Young's modulus of non-porous material: 300 Gigapascal --> 300000000000 Pascal (Check conversion here)
Volume Percent of Porosity: 25 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

E = E₀*(1-(0.019*η_v)+(0.00009*η_v*η_v)) --> 300000000000*(1-(0.019*25)+(0.00009*25*25))

Evaluating ... ...

E = 174375000000

STEP 3: Convert Result to Output's Unit

174375000000 Pascal -->174.375 Gigapascal (Check conversion here)

FINAL ANSWER

174.375 Gigapascal <-- Young's modulus of porous material

(Calculation completed in 00.004 seconds)

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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 porous material Formula

Effect of porosity

Porosity is deleterious to the flexural strength for two reasons: (1) pores reduce the cross-sectional area across which a load is applied, and (2) they also act as stress concentrators—for an isolated spherical pore, an applied tensile stress is amplified by a factor of 2.

How to Calculate Young's Modulus of porous material?

Young's Modulus of porous material calculator uses 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)) to calculate the Young's modulus of porous material, Young's Modulus of porous material under consideration. Young's modulus of porous material is denoted by E symbol.

How to calculate Young's Modulus of porous material using this online calculator? To use this online calculator for Young's Modulus of porous material, enter Young's modulus of non-porous material (E₀) & Volume Percent of Porosity (η_v) and hit the calculate button. Here is how the Young's Modulus of porous material calculation can be explained with given input values -> 1.7E-7 = 300000000000*(1-(0.019*25)+(0.00009*25*25)).

FAQ

What is Young's Modulus of porous material?

Young's Modulus of porous material under consideration and is represented as E = E₀*(1-(0.019*η_v)+(0.00009*η_v*η_v)) or 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)). Young's modulus of non-porous material under consideration & Volume Percent of Porosity in a porous material.

How to calculate Young's Modulus of porous material?

Young's Modulus of porous material under consideration is calculated using 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)). To calculate Young's Modulus of porous material, you need Young's modulus of non-porous material (E₀) & Volume Percent of Porosity (η_v). With our tool, you need to enter the respective value for Young's modulus of non-porous material & Volume Percent of Porosity 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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