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

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✖Volume fraction of fiber in fiber reinforced composite.ⓘ Volume fraction of fiber [V_f]			+10% -10%
✖Fiber length is a statistical average length of fibers present in the composite.ⓘ Fiber length [l]			+10% -10%
✖Critical shear stress is either the fiber-matrix bond strength or the shear yield stress of matrix, whichever is lower.ⓘ Critical shear stress [τ_c]			+10% -10%
✖Fiber diameter in the fiber-reinforced composites.ⓘ Fiber diameter [d]			+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 less than lc) that is the length of fiber is smaller than the critical length in discontinuous aligned fiber reinforced composite.ⓘ Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) [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!

< 5 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

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) 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

Critical fiber length

Critical fiber length=Tensile strength*Fiber diameter/(2*Critical shear stress) GO

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

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)

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

Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) calculator uses 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) to calculate the Longitudinal strength of composite(discontinous fiber less than lc), Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) that is length of fiber is less than critical length. Longitudinal strength of composite(discontinous fiber less than lc) and is denoted by σ_cd' symbol.

How to calculate Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) using this online calculator? To use this online calculator for Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length), enter Fiber diameter (d), Critical shear stress (τ_c), Volume fraction of fiber (V_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 ( less than critical length) calculation can be explained with given input values -> 4035 = (0.5*0.001*80000000/1E-05)+70000000*(1-0.5).

FAQ

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

Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) that is length of fiber is less than critical length and is represented as σ_cd'=(V_f*l*τ_c/d)+σ_m*(1-V_f) or 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). Fiber diameter in the fiber-reinforced composites, Critical shear stress is either the fiber-matrix bond strength or the shear yield stress of matrix, whichever is lower, Volume fraction of fiber in 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 ( less than critical length)?

Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length) that is length of fiber is less than critical length is calculated using 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). To calculate Longitudinal strength of discontinuous fiber-reinforced composite ( less than critical length), you need Fiber diameter (d), Critical shear stress (τ_c), Volume fraction of fiber (V_f), Stress in matrix (σ_m) and Fiber length (l). With our tool, you need to enter the respective value for Fiber diameter, Critical shear stress, Volume fraction 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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