Fracture toughness Calculator

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✖Dimensionless parameter in fracture toughness expression depends on both crack and specimen sizes and geometries, as well as the manner of load application.ⓘ Dimensionless parameter in fracture toughness [Y]			+10% -10%
✖Applied stressⓘ Applied stress [σ]			+10% -10%
✖Crack length represents the length of a surface crack, or half of the length of an internal crack.ⓘ Crack Length [a]			+10% -10%

✖Fracture toughness is the critical stress intensity factor of a sharp crack where propagation of the crack suddenly becomes rapid and unlimited.ⓘ Fracture toughness [K]

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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

Resolved shear stress

Resolved shear stress=Applied stress*cos(Slip plane angle)*cos(Slip direction angle) GO

Critical stress for crack propagation

Critical stress=sqrt(2*Young's Modulus*Specific surface energy/(pi*Crack Length)) GO

Maximum stress at crack tip

Maximum stress at crack tip=Stress concentration factor*Applied stress GO

Stress concentration factor

Stress concentration factor=2*sqrt(Crack Length/Radius of curvature) GO

Fracture toughness Formula

Fracture toughness=Dimensionless parameter in fracture toughness*Applied stress*sqrt(pi*Crack Length)

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Fracture toughness for brittle and ductile materials

Brittle materials, for which appreciable plastic deformation is not possible in front of an advancing crack, have low values and are vulnerable to catastrophic failure. On the other hand, values are relatively large for ductile materials and can undergo deformation before failure.

How to Calculate Fracture toughness?

Fracture toughness calculator uses Fracture toughness=Dimensionless parameter in fracture toughness*Applied stress*sqrt(pi*Crack Length) to calculate the Fracture toughness, Fracture toughness is a property that is a measure of a material’s resistance to brittle fracture when a crack is present. Fracture toughness and is denoted by K symbol.

How to calculate Fracture toughness using this online calculator? To use this online calculator for Fracture toughness, enter Applied stress (σ), Crack Length (a) and Dimensionless parameter in fracture toughness (Y) and hit the calculate button. Here is how the Fracture toughness calculation can be explained with given input values -> 0.616549 = 1.1*100*sqrt(pi*1E-05).

FAQ

What is Fracture toughness?

Fracture toughness is a property that is a measure of a material’s resistance to brittle fracture when a crack is present and is represented as K=Y*σ*sqrt(pi*a) or Fracture toughness=Dimensionless parameter in fracture toughness*Applied stress*sqrt(pi*Crack Length). Applied stress, Crack length represents the length of a surface crack, or half of the length of an internal crack and Dimensionless parameter in fracture toughness expression depends on both crack and specimen sizes and geometries, as well as the manner of load application.

How to calculate Fracture toughness?

Fracture toughness is a property that is a measure of a material’s resistance to brittle fracture when a crack is present is calculated using Fracture toughness=Dimensionless parameter in fracture toughness*Applied stress*sqrt(pi*Crack Length). To calculate Fracture toughness, you need Applied stress (σ), Crack Length (a) and Dimensionless parameter in fracture toughness (Y). With our tool, you need to enter the respective value for Applied stress, Crack Length and Dimensionless parameter in fracture toughness 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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