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Half crack length given fracture toughness Formula

GoHalf crack length given stress intensity factor Formula

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Half Crack Length represents half of the length of a surface crack. Check FAQs

a = \frac{{(\frac{\frac{K I}{Y}}{σ})}^{2}}{π}

a - Half Crack Length?K_I - Fracture Toughness?Y - Dimensionless Parameter in Fracture Toughness?σ - Tensile Stress at Crack Edge?π - Archimedes' constant?

Half crack length given fracture toughness Example

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Here is how the Half crack length given fracture toughness equation looks like with Values.

Here is how the Half crack length given fracture toughness equation looks like with Units.

Here is how the Half crack length given fracture toughness equation looks like.

3.1831 = \frac{{(\frac{\frac{5.5}{1.1}}{50})}^{2}}{3.1416}

3.1831mm = \frac{{(\frac{\frac{5.5MPa*sqrt(m)}{1.1}}{50N/mm²})}^{2}}{3.1416}

3.1831 = \frac{{(\frac{\frac{5.5}{1.1}}{50})}^{2}}{3.1416}

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Half crack length given fracture toughness Solution

Follow our step by step solution on how to calculate Half crack length given fracture toughness?

FIRST Step Consider the formula

a = \frac{{(\frac{\frac{K I}{Y}}{σ})}^{2}}{π}

Next Step Substitute values of Variables

∴

a = \frac{{(\frac{\frac{5.5MPa*sqrt(m)}{1.1}}{50N/mm²})}^{2}}{π}

Next Step Substitute values of Constants

∴

a = \frac{{(\frac{\frac{5.5MPa*sqrt(m)}{1.1}}{50N/mm²})}^{2}}{3.1416}

Next Step Convert Units

∴

a = \frac{{(\frac{\frac{5.5E+6Pa*sqrt(m)}{1.1}}{5E+7Pa})}^{2}}{3.1416}

Next Step Prepare to Evaluate

∴

a = \frac{{(\frac{\frac{5.5E+6}{1.1}}{5E+7})}^{2}}{3.1416}

Next Step Evaluate

∴

a = 0.00318309886183791m

Next Step Convert to Output's Unit

∴

a = 3.18309886183791mm

LAST Step Rounding Answer

∴

a = 3.1831mm

Half crack length given fracture toughness Formula Elements

Variables

Constants

Half Crack Length

Half Crack Length represents half of the length of a surface crack.

Symbol: a

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Half Crack Length

Fracture Toughness

Fracture Toughness is the critical stress intensity factor of a sharp crack where propagation of the crack suddenly becomes rapid and unlimited.

Symbol: K_I

Measurement: Fracture ToughnessUnit: MPa*sqrt(m)

Note: Value should be greater than 0.

Formulas to find Fracture Toughness

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.

Symbol: Y

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Dimensionless Parameter in Fracture Toughness

Tensile Stress at Crack Edge

Tensile Stress at Crack Edge is the amount of tensile stress at the edge of the crack of a structural member.

Symbol: σ

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Tensile Stress at Crack Edge

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Half Crack Length

Go Half crack length given stress intensity factor

a = \frac{{(\frac{K o}{σ})}^{2}}{π}

Other formulas in Fracture Mechanics category

Go Stress Intensity factor for cracked plate

K o = σ \cdot (\sqrt{π \cdot a})

Go Nominal tensile stress at edge of crack given stress intensity factor

σ = \frac{K o}{\sqrt{π \cdot a}}

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

σ = \frac{L}{w \cdot t}

Go Thickness of plate given nominal tensile stress at edge of crack

t = \frac{L}{(σ) \cdot (w)}

How to Evaluate Half crack length given fracture toughness?

Half crack length given fracture toughness evaluator uses Half Crack Length = (((Fracture Toughness/Dimensionless Parameter in Fracture Toughness)/(Tensile Stress at Crack Edge))^2)/pi to evaluate 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 evaluate Half crack length given fracture toughness using this online evaluator? To use this online evaluator 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.

FAQs on Half crack length given fracture toughness

What is the formula to find Half crack length given fracture toughness?

The formula of Half crack length given fracture toughness is expressed as Half Crack Length = (((Fracture Toughness/Dimensionless Parameter in Fracture Toughness)/(Tensile Stress at Crack Edge))^2)/pi. Here is an example- 3183.099 = (((5500000/1.1)/(50000000))^2)/pi.

How to calculate Half crack length given fracture toughness?

With Fracture Toughness (K_I), Dimensionless Parameter in Fracture Toughness (Y) & Tensile Stress at Crack Edge (σ) we can find Half crack length given fracture toughness using the formula - Half Crack Length = (((Fracture Toughness/Dimensionless Parameter in Fracture Toughness)/(Tensile Stress at Crack Edge))^2)/pi. This formula also uses Archimedes' constant .

What are the other ways to Calculate Half Crack Length?

Here are the different ways to Calculate Half Crack Length-

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

Can the Half crack length given fracture toughness be negative?

No, the Half crack length given fracture toughness, measured in Length cannot be negative.

Which unit is used to measure Half crack length given fracture toughness?

Half crack length given fracture toughness is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Half crack length given fracture toughness can be measured.

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Half crack length given fracture toughness Formula

​GoHalf crack length given stress intensity factor Formula

Half crack length given fracture toughness Example

Half crack length given fracture toughness Solution

Half crack length given fracture toughness Formula Elements

Other Formulas to find Half Crack Length

Other formulas in Fracture Mechanics category

How to Evaluate Half crack length given fracture toughness?

FAQs on Half crack length given fracture toughness

Variable Name

GoHalf crack length given stress intensity factor Formula