Fracture toughness given stress intensity factor Calculator

✖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%
✖Stress Intensity Factor specifies the stress intensity at the tip of the crack.ⓘ Stress Intensity Factor [K_o]			+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 given stress intensity factor [K_I]

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Fracture toughness given stress intensity factor

Formula

`"K"_{"I"} = "Y"*"K"_{"o"}`

Example

`"5.5MPa*sqrt(m)"="1.1"*"5MPa*sqrt(m)"`

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Fracture toughness given stress intensity factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Fracture Toughness = Dimensionless Parameter in Fracture Toughness*Stress Intensity Factor
K_I = Y*K_o
This formula uses 3 Variables

Variables Used

Fracture Toughness - (Measured in Pascal sqrt(meter)) - Fracture Toughness is the critical stress intensity factor of a sharp crack where propagation of the crack suddenly becomes rapid and unlimited.
Dimensionless Parameter in Fracture Toughness - Dimensionless parameter in fracture toughness expression depends on both crack and specimen sizes and geometries, as well as the manner of load application.
Stress Intensity Factor - (Measured in Pascal sqrt(meter)) - Stress Intensity Factor specifies the stress intensity at the tip of the crack.

STEP 1: Convert Input(s) to Base Unit

Dimensionless Parameter in Fracture Toughness: 1.1 --> No Conversion Required
Stress Intensity Factor: 5 Megapascal sqrt(meter) --> 5000000 Pascal sqrt(meter) (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_I = Y*K_o --> 1.1*5000000

Evaluating ... ...

K_I = 5500000

STEP 3: Convert Result to Output's Unit

5500000 Pascal sqrt(meter) -->5.5 Megapascal sqrt(meter) (Check conversion here)

FINAL ANSWER

5.5 Megapascal sqrt(meter) <-- Fracture Toughness

(Calculation completed in 00.004 seconds)

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< 10+ Fracture Mechanics Calculators

Fracture toughness given tensile stress at edge of crack

Go Fracture Toughness = Dimensionless Parameter in Fracture Toughness*(Tensile Stress at Crack Edge*(sqrt(pi*Half Crack Length)))

Nominal tensile stress at edge of crack given fracture toughness

Go Tensile Stress at Crack Edge = (Fracture Toughness/Dimensionless Parameter in Fracture Toughness)/sqrt(pi*Half Crack Length)

Half crack length given fracture toughness

Go Half Crack Length = (((Fracture Toughness/Dimensionless Parameter in Fracture Toughness)/(Tensile Stress at Crack Edge))^2)/pi

Nominal tensile stress at edge of crack given stress intensity factor

Go Tensile Stress at Crack Edge = (Stress Intensity Factor)/sqrt(pi*Half Crack Length)

Stress Intensity factor for cracked plate

Go Stress Intensity Factor = Tensile Stress at Crack Edge*(sqrt(pi*Half Crack Length))

Thickness of plate given nominal tensile stress at edge of crack

Go Thickness of Cracked Plate = Load on cracked plate/((Tensile Stress at Crack Edge)*(Width of Plate))

Width of plate given nominal tensile stress at edge of crack

Go Width of Plate = (Load on cracked plate/((Tensile Stress at Crack Edge)*Thickness of Cracked Plate))

Nominal tensile stress at edge of crack given load, plate thickness and plate width

Go Tensile Stress at Crack Edge = Load on cracked plate/(Width of Plate*Thickness of Cracked Plate)

Half crack length given stress intensity factor

Go Half Crack Length = ((Stress Intensity Factor/Tensile Stress at Crack Edge)^2)/pi

Fracture toughness given stress intensity factor

Go Fracture Toughness = Dimensionless Parameter in Fracture Toughness*Stress Intensity Factor

Fracture toughness given stress intensity factor Formula

Fracture Toughness = Dimensionless Parameter in Fracture Toughness*Stress Intensity Factor
K_I = Y*K_o

What Does Fracture Toughness Mean?

In metallurgy, fracture toughness refers to a property that describes the ability of a material containing a crack to resist further fracture. Fracture toughness is a quantitative way of expressing a material's resistance to brittle fracture when a crack is present. If the material has high fracture toughness, it is more prone to ductile fracture. Brittle fracture is characteristic of materials with less fracture toughness.
Fracture toughness values may serve as a basis for:
Material comparison
Selection
Structural flaw tolerance assessment
Quality assurance

How to Calculate Fracture toughness given stress intensity factor?

Fracture toughness given stress intensity factor calculator uses Fracture Toughness = Dimensionless Parameter in Fracture Toughness*Stress Intensity Factor to calculate the Fracture Toughness, The Fracture toughness given stress intensity factor is a property that is a measure of a material’s resistance to brittle fracture when a crack is present. Fracture Toughness is denoted by K_I symbol.

How to calculate Fracture toughness given stress intensity factor using this online calculator? To use this online calculator for Fracture toughness given stress intensity factor, enter Dimensionless Parameter in Fracture Toughness (Y) & Stress Intensity Factor (K_o) and hit the calculate button. Here is how the Fracture toughness given stress intensity factor calculation can be explained with given input values -> 5.5E-6 = 1.1*5000000.

FAQ

What is Fracture toughness given stress intensity factor?

The Fracture toughness given stress intensity factor 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_I = Y*K_o or Fracture Toughness = Dimensionless Parameter in Fracture Toughness*Stress Intensity Factor. Dimensionless parameter in fracture toughness expression depends on both crack and specimen sizes and geometries, as well as the manner of load application & Stress Intensity Factor specifies the stress intensity at the tip of the crack.

How to calculate Fracture toughness given stress intensity factor?

The Fracture toughness given stress intensity factor 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*Stress Intensity Factor. To calculate Fracture toughness given stress intensity factor, you need Dimensionless Parameter in Fracture Toughness (Y) & Stress Intensity Factor (K_o). With our tool, you need to enter the respective value for Dimensionless Parameter in Fracture Toughness & Stress Intensity Factor and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Fracture Toughness?

In this formula, Fracture Toughness uses Dimensionless Parameter in Fracture Toughness & Stress Intensity Factor. We can use 1 other way(s) to calculate the same, which is/are as follows -

Fracture Toughness = Dimensionless Parameter in Fracture Toughness*(Tensile Stress at Crack Edge*(sqrt(pi*Half Crack Length)))

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