Half crack length given fracture toughness Calculator

✖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_I]			+10% -10%
✖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%
✖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 fracture toughness [a]

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Half crack length given fracture toughness Solution

STEP 0: Pre-Calculation Summary

Formula Used

Half Crack Length = (((Fracture Toughness/Dimensionless Parameter in Fracture Toughness)/(Tensile Stress at Crack Edge))^2)/pi
a = (((K_I/Y)/(σ))^2)/pi
This formula uses 1 Constants, 4 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.
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.
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

Fracture Toughness: 5.5 Megapascal sqrt(meter) --> 5500000 Pascal sqrt(meter) (Check conversion here)
Dimensionless Parameter in Fracture Toughness: 1.1 --> No Conversion Required
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_I/Y)/(σ))^2)/pi --> (((5500000/1.1)/(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 00.007 seconds)

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< Fracture Mechanics Calculators

Nominal tensile stress at edge of crack given stress intensity factor

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

Stress Intensity factor for cracked plate

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

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

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

Half crack length given stress intensity factor

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

Half crack length given fracture toughness Formula

LaTeX Go

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

What Does Brittle Fracture Mean?

A brittle fracture is the fracture of a metallic object or other material without appreciable prior plastic deformation. It is a break in a brittle piece of metal that failed because stress exceeded cohesion. The brittle fracture of normally ductile steels occurs primarily in large, continuous, box-like structures such as:
Box beams
Pressure vessels
Tanks
Pipes
Ships
Bridges
Other restrained structure
Brittle fractures that occur in service are invariably initiated by defects that are initially present in the manufactured product or fabricated structure, or by defects that develop during service.

How to Calculate Half crack length given fracture toughness?

Half crack length given fracture toughness calculator uses Half Crack Length = (((Fracture Toughness/Dimensionless Parameter in Fracture Toughness)/(Tensile Stress at Crack Edge))^2)/pi to calculate the Half Crack Length, The Half crack length given fracture toughness 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 fracture toughness using this online calculator? To use this online calculator for Half crack length given fracture toughness, enter Fracture Toughness (K_I), Dimensionless Parameter in Fracture Toughness (Y) & Tensile Stress at Crack Edge (σ) and hit the calculate button. Here is how the Half crack length given fracture toughness calculation can be explained with given input values -> 3183.099 = (((5500000/1.1)/(50000000))^2)/pi.

FAQ

What is Half crack length given fracture toughness?

The Half crack length given fracture toughness is the half of the crack length of a cracked fracture plate and is represented as a = (((K_I/Y)/(σ))^2)/pi or Half Crack Length = (((Fracture Toughness/Dimensionless Parameter in Fracture Toughness)/(Tensile Stress at Crack Edge))^2)/pi. 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 expression depends on both crack and specimen sizes and geometries, as well as the manner of load application & 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 fracture toughness?

The Half crack length given fracture toughness is the half of the crack length of a cracked fracture plate is calculated using Half Crack Length = (((Fracture Toughness/Dimensionless Parameter in Fracture Toughness)/(Tensile Stress at Crack Edge))^2)/pi. To calculate Half crack length given fracture toughness, you need Fracture Toughness (K_I), Dimensionless Parameter in Fracture Toughness (Y) & Tensile Stress at Crack Edge (σ). With our tool, you need to enter the respective value for Fracture Toughness, Dimensionless Parameter in Fracture Toughness & 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 Fracture Toughness, Dimensionless Parameter in Fracture Toughness & Tensile Stress at Crack Edge. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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