Nominal tensile stress at edge of crack 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%
✖Half Crack Length represents half of the length of a surface crack.ⓘ Half Crack Length [a]			+10% -10%

✖Tensile Stress at Crack Edge is the amount of tensile stress at the edge of the crack of a structural member.ⓘ Nominal tensile stress at edge of crack given fracture toughness [σ]

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Formula

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Nominal tensile stress at edge of crack given fracture toughness

Formula

`"σ" = ("K"_{"I"}/"Y")/sqrt(pi*"a")`

Example

`"51.50323N/mm²"=("5.50MPa*sqrt(m)"/"1.1")/sqrt(pi*"3mm")`

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Nominal tensile stress at edge of crack given fracture toughness Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

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.
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.
Half Crack Length - (Measured in Meter) - Half Crack Length represents half of the length of a surface crack.

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
Half Crack Length: 3 Millimeter --> 0.003 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ = (K_I/Y)/sqrt(pi*a) --> (5500000/1.1)/sqrt(pi*0.003)

Evaluating ... ...

σ = 51503226.9364253

STEP 3: Convert Result to Output's Unit

51503226.9364253 Pascal -->51.5032269364253 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

51.5032269364253 ≈ 51.50323 Newton per Square Millimeter <-- Tensile Stress at Crack Edge

(Calculation completed in 00.006 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

Nominal tensile stress at edge of crack given fracture toughness Formula

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

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 Nominal tensile stress at edge of crack given fracture toughness?

Nominal tensile stress at edge of crack given fracture toughness calculator uses Tensile Stress at Crack Edge = (Fracture Toughness/Dimensionless Parameter in Fracture Toughness)/sqrt(pi*Half Crack Length) to calculate the Tensile Stress at Crack Edge, The Nominal tensile stress at edge of crack given fracture toughness is the amount of tensile stress at the edge of the crack of a plate. Tensile Stress at Crack Edge is denoted by σ symbol.

How to calculate Nominal tensile stress at edge of crack given fracture toughness using this online calculator? To use this online calculator for Nominal tensile stress at edge of crack given fracture toughness, enter Fracture Toughness (K_I), Dimensionless Parameter in Fracture Toughness (Y) & Half Crack Length (a) and hit the calculate button. Here is how the Nominal tensile stress at edge of crack given fracture toughness calculation can be explained with given input values -> 5.2E-5 = (5500000/1.1)/sqrt(pi*0.003).

FAQ

What is Nominal tensile stress at edge of crack given fracture toughness?

The Nominal tensile stress at edge of crack given fracture toughness is the amount of tensile stress at the edge of the crack of a plate and is represented as σ = (K_I/Y)/sqrt(pi*a) or Tensile Stress at Crack Edge = (Fracture Toughness/Dimensionless Parameter in Fracture Toughness)/sqrt(pi*Half Crack Length). 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 & Half Crack Length represents half of the length of a surface crack.

How to calculate Nominal tensile stress at edge of crack given fracture toughness?

The Nominal tensile stress at edge of crack given fracture toughness is the amount of tensile stress at the edge of the crack of a plate is calculated using Tensile Stress at Crack Edge = (Fracture Toughness/Dimensionless Parameter in Fracture Toughness)/sqrt(pi*Half Crack Length). To calculate Nominal tensile stress at edge of crack given fracture toughness, you need Fracture Toughness (K_I), Dimensionless Parameter in Fracture Toughness (Y) & Half Crack Length (a). With our tool, you need to enter the respective value for Fracture Toughness, Dimensionless Parameter in Fracture Toughness & Half Crack Length 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 Tensile Stress at Crack Edge?

In this formula, Tensile Stress at Crack Edge uses Fracture Toughness, Dimensionless Parameter in Fracture Toughness & Half Crack Length. We can use 2 other way(s) to calculate the same, which is/are as follows -

Tensile Stress at Crack Edge = (Stress Intensity Factor)/sqrt(pi*Half Crack Length)
Tensile Stress at Crack Edge = Load on cracked plate/(Width of Plate*Thickness of Cracked Plate)

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