Half crack length given stress intensity factor Calculator

✖Stress Intensity Factor specifies the stress intensity at the tip of the crack.ⓘ Stress Intensity Factor [K_o]			+10% -10%
✖Tensile Stress at Crack Edge is the amount of tensile stress at the edge of the crack of a structural member.ⓘ Tensile Stress at Crack Edge [σ]			+10% -10%

✖Half Crack Length represents half of the length of a surface crack.ⓘ Half crack length given stress intensity factor [a]

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Formula

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Half crack length given stress intensity factor

Formula

`"a" = (("K"_{"o"}/"σ")^2)/pi`

Example

`"3.183099mm"=(("5MPa*sqrt(m)"/"50N/mm²")^2)/pi`

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Half crack length given stress intensity factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Half Crack Length = ((Stress Intensity Factor/Tensile Stress at Crack Edge)^2)/pi
a = ((K_o/σ)^2)/pi
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Half Crack Length - (Measured in Meter) - Half Crack Length represents half of the length of a surface crack.
Stress Intensity Factor - (Measured in Pascal sqrt(meter)) - Stress Intensity Factor specifies the stress intensity at the tip of the crack.
Tensile Stress at Crack Edge - (Measured in Pascal) - Tensile Stress at Crack Edge is the amount of tensile stress at the edge of the crack of a structural member.

STEP 1: Convert Input(s) to Base Unit

Stress Intensity Factor: 5 Megapascal sqrt(meter) --> 5000000 Pascal sqrt(meter) (Check conversion here)
Tensile Stress at Crack Edge: 50 Newton per Square Millimeter --> 50000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = ((K_o/σ)^2)/pi --> ((5000000/50000000)^2)/pi

Evaluating ... ...

a = 0.00318309886183791

STEP 3: Convert Result to Output's Unit

0.00318309886183791 Meter -->3.18309886183791 Millimeter (Check conversion here)

FINAL ANSWER

3.18309886183791 ≈ 3.183099 Millimeter <-- Half Crack Length

(Calculation completed in 00.004 seconds)

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Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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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

Half crack length given stress intensity factor Formula

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

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 Half crack length given stress intensity factor?

Half crack length given stress intensity factor calculator uses Half Crack Length = ((Stress Intensity Factor/Tensile Stress at Crack Edge)^2)/pi to calculate the Half Crack Length, The Half crack length given stress intensity factor is the half of the crack length of a cracked fracture plate. Half Crack Length is denoted by a symbol.

How to calculate Half crack length given stress intensity factor using this online calculator? To use this online calculator for Half crack length given stress intensity factor, enter Stress Intensity Factor (K_o) & Tensile Stress at Crack Edge (σ) and hit the calculate button. Here is how the Half crack length given stress intensity factor calculation can be explained with given input values -> 3183.099 = ((5000000/50000000)^2)/pi.

FAQ

What is Half crack length given stress intensity factor?

The Half crack length given stress intensity factor is the half of the crack length of a cracked fracture plate and is represented as a = ((K_o/σ)^2)/pi or Half Crack Length = ((Stress Intensity Factor/Tensile Stress at Crack Edge)^2)/pi. Stress Intensity Factor specifies the stress intensity at the tip of the crack & Tensile Stress at Crack Edge is the amount of tensile stress at the edge of the crack of a structural member.

How to calculate Half crack length given stress intensity factor?

The Half crack length given stress intensity factor is the half of the crack length of a cracked fracture plate is calculated using Half Crack Length = ((Stress Intensity Factor/Tensile Stress at Crack Edge)^2)/pi. To calculate Half crack length given stress intensity factor, you need Stress Intensity Factor (K_o) & Tensile Stress at Crack Edge (σ). With our tool, you need to enter the respective value for Stress Intensity Factor & Tensile Stress at Crack Edge 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 Half Crack Length?

In this formula, Half Crack Length uses Stress Intensity Factor & Tensile Stress at Crack Edge. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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