Longitudinal strength of discontinuous fiber-reinforced composite Calculator

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Engineering	Materials Science ↺
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✖Tensile strength of fiber in the fiber-reinforced composite.ⓘ Tensile strength of fiber [σ_f]			+10% -10%
✖Volume fraction of fiber in fiber reinforced composite.ⓘ Volume fraction of fiber [V_f]			+10% -10%
✖Critical fiber length that is necessary for effective strengthening and stiffening of the composite material.ⓘ Critical fiber length [l_c]			+10% -10%
✖Fiber length is a statistical average length of fibers present in the composite.ⓘ Fiber length [l]			+10% -10%
✖Stress in matrix is the stress at the failure of composite.ⓘ Stress in matrix [σ_m]			+10% -10%

✖Longitudinal strength of composite(discontinous fiber) that is discontinuous and aligned fiber matrix composite. The length of fiber is greater than the critical length.ⓘ Longitudinal strength of discontinuous fiber-reinforced composite [σ_cd]

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Hariharan V S

Indian Institute of Technology (IIT), Chennai

Hariharan V S has created this Calculator and 25+ more calculators!

< 4 Other formulas that you can solve using the same Inputs

Young's Modulus of composite in transverse direction

Young's modulus of composite 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) GO

Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length)

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) GO

Young's Modulus of composite in longitudinal direction

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 GO

Longitudinal strength of composite

Longitudinal strength of composite=Stress in matrix*(1-Volume fraction of fiber)+Tensile strength of fiber*Volume fraction of fiber GO

Longitudinal strength of discontinuous fiber-reinforced composite Formula

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)

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Longitudinal strength of composite GO

Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) GO

Discontinuous and Aligned Fiber reinforced composites

Even though reinforcement efficiency is lower for discontinuous than for continuous fibers, discontinuous and aligned fiber composites are becoming increasingly more important in the commercial market. Chopped glass fibers are used most extensively; however, carbon and aramid discontinuous fibers are also employed.These short fiber composites can be produced having moduli of elasticity and tensile strengths that approach 90% and 50%, respectively, of their continuous fiber counterparts.

How to Calculate Longitudinal strength of discontinuous fiber-reinforced composite?

Longitudinal strength of discontinuous fiber-reinforced composite calculator uses 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) to calculate the Longitudinal strength of composite(discontinous fiber), Longitudinal strength of discontinuous fiber-reinforced composite ( the fiber is aligned). Longitudinal strength of composite(discontinous fiber) and is denoted by σ_cd symbol.

How to calculate Longitudinal strength of discontinuous fiber-reinforced composite using this online calculator? To use this online calculator for Longitudinal strength of discontinuous fiber-reinforced composite, enter Critical fiber length (l_c), Volume fraction of fiber (V_f), Tensile strength of fiber (σ_f), Stress in matrix (σ_m) and Fiber length (l) and hit the calculate button. Here is how the Longitudinal strength of discontinuous fiber-reinforced composite calculation can be explained with given input values -> 77.5 = 170000000*0.5*(1-(0.001/(2*0.001)))+70000000*(1-0.5).

FAQ

What is Longitudinal strength of discontinuous fiber-reinforced composite?

Longitudinal strength of discontinuous fiber-reinforced composite ( the fiber is aligned) and is represented as σ_cd=σ_f*V_f*(1-(l_c/(2*l)))+σ_m*(1-V_f) or 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). Critical fiber length that is necessary for effective strengthening and stiffening of the composite material, Volume fraction of fiber in fiber reinforced composite, Tensile strength of fiber in the fiber-reinforced composite, Stress in matrix is the stress at the failure of composite and Fiber length is a statistical average length of fibers present in the composite.

How to calculate Longitudinal strength of discontinuous fiber-reinforced composite?

Longitudinal strength of discontinuous fiber-reinforced composite ( the fiber is aligned) is calculated using 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). To calculate Longitudinal strength of discontinuous fiber-reinforced composite, you need Critical fiber length (l_c), Volume fraction of fiber (V_f), Tensile strength of fiber (σ_f), Stress in matrix (σ_m) and Fiber length (l). With our tool, you need to enter the respective value for Critical fiber length, Volume fraction of fiber, Tensile strength of fiber, Stress in matrix and Fiber length 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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