Fracture toughness given tensile stress at edge of crack 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%
✖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 [a]			+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 tensile stress at edge of crack [K_I]

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Fracture toughness given tensile stress at edge of crack Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

K_I = Y*(σ*(sqrt(pi*a))) --> 1.1*(50000000*(sqrt(pi*0.003)))

Evaluating ... ...

K_I = 5339471.25952817

STEP 3: Convert Result to Output's Unit

5339471.25952817 Pascal sqrt(meter) -->5.33947125952817 Megapascal sqrt(meter) (Check conversion here)

FINAL ANSWER

5.33947125952817 ≈ 5.339471 Megapascal sqrt(meter) <-- Fracture Toughness

(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

Fracture toughness given tensile stress at edge of crack Formula

LaTeX Go

Fracture Toughness = Dimensionless Parameter in Fracture Toughness*(Tensile Stress at Crack Edge*(sqrt(pi*Half Crack Length)))
K_I = Y*(σ*(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 Fracture toughness given tensile stress at edge of crack?

Fracture toughness given tensile stress at edge of crack calculator uses Fracture Toughness = Dimensionless Parameter in Fracture Toughness*(Tensile Stress at Crack Edge*(sqrt(pi*Half Crack Length))) to calculate the Fracture Toughness, The Fracture toughness given tensile stress at edge of crack 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 tensile stress at edge of crack using this online calculator? To use this online calculator for Fracture toughness given tensile stress at edge of crack, enter Dimensionless Parameter in Fracture Toughness (Y), Tensile Stress at Crack Edge (σ) & Half Crack Length (a) and hit the calculate button. Here is how the Fracture toughness given tensile stress at edge of crack calculation can be explained with given input values -> 5.3E-6 = 1.1*(50000000*(sqrt(pi*0.003))).

FAQ

What is Fracture toughness given tensile stress at edge of crack?

The Fracture toughness given tensile stress at edge of crack 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*(σ*(sqrt(pi*a))) or Fracture Toughness = Dimensionless Parameter in Fracture Toughness*(Tensile Stress at Crack Edge*(sqrt(pi*Half Crack Length))). 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 & Half Crack Length represents half of the length of a surface crack.

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

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

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

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

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