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)
More formulas
Engineering stress GO
Engineering strain GO
ASTM grain size number to Number of grains GO
Percent elongation GO
Percent reduction in area GO
True strain GO
Modulus of resilience GO
True stress GO
True strain from Engineering strain GO
Strain hardening exponent GO
Tensile strength from Brinell hardness GO
Brinell hardness GO
Vickers hardness GO
Knoop hardness GO
Resolved shear stress GO
Safe stress GO
Percent cold work GO
Critical stress for crack propagation GO
Stress concentration factor GO
Maximum stress at crack tip GO
Mean stress of stress cycle (fatigue) GO
Range of stress (fatigue) GO
Stress amplitude (fatigue) GO
Stress ratio (fatigue) GO
Maximum shear stress from Tresca criterion GO
Maximum shear stress from von mises criterion GO
Hall - Petch Relation GO

## 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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