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Stress concentration factor Formula

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The Stress Concentration Factor is simply a measure of the degree to which external stress is amplified at the tip of a crack. Check FAQs

k = 2 \cdot \sqrt{\frac{a}{𝜌 t}}

k - Stress Concentration Factor?a - Crack Length?𝜌_t - Radius of curvature?

Stress concentration factor Example

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Here is how the Stress concentration factor equation looks like with Values.

Here is how the Stress concentration factor equation looks like with Units.

Here is how the Stress concentration factor equation looks like.

20 = 2 \cdot \sqrt{\frac{10}{0.1}}

20 = 2 \cdot \sqrt{\frac{10μm}{0.1μm}}

20 = 2 \cdot \sqrt{\frac{10}{0.1}}

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Stress concentration factor Solution

Follow our step by step solution on how to calculate Stress concentration factor?

FIRST Step Consider the formula

k = 2 \cdot \sqrt{\frac{a}{𝜌 t}}

Next Step Substitute values of Variables

∴

k = 2 \cdot \sqrt{\frac{10μm}{0.1μm}}

Next Step Convert Units

∴

k = 2 \cdot \sqrt{\frac{1E-5m}{1E-7m}}

Next Step Prepare to Evaluate

∴

k = 2 \cdot \sqrt{\frac{1E-5}{1E-7}}

LAST Step Evaluate

∴

k = 20

Stress concentration factor Formula Elements

Variables

Functions

Stress Concentration Factor

The Stress Concentration Factor is simply a measure of the degree to which external stress is amplified at the tip of a crack.

Symbol: k

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Stress Concentration Factor

Crack Length

Crack length represents the length of a surface crack, or half of the length of an internal crack.

Symbol: a

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Crack Length

Radius of curvature

Radius of curvature of the crack tip.

Symbol: 𝜌_t

Measurement: LengthUnit: μm

Note: Value should be greater than 0.

Formulas to find Radius of curvature

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.

Syntax: sqrt(Number)

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Go Critical stress for crack propagation

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How to Evaluate Stress concentration factor?

Stress concentration factor evaluator uses Stress Concentration Factor = 2*sqrt(Crack Length/Radius of curvature) to evaluate the Stress Concentration Factor, Stress concentration factor is a measure of the degree to which an external stress is amplified at the tip of a crack. Stress Concentration Factor is denoted by k symbol.

How to evaluate Stress concentration factor using this online evaluator? To use this online evaluator for Stress concentration factor, enter Crack Length (a) & Radius of curvature (𝜌_t) and hit the calculate button.

FAQs on Stress concentration factor

What is the formula to find Stress concentration factor?

The formula of Stress concentration factor is expressed as Stress Concentration Factor = 2*sqrt(Crack Length/Radius of curvature). Here is an example- 20 = 2*sqrt(1E-05/1E-07).

How to calculate Stress concentration factor?

With Crack Length (a) & Radius of curvature (𝜌_t) we can find Stress concentration factor using the formula - Stress Concentration Factor = 2*sqrt(Crack Length/Radius of curvature). This formula also uses Square Root (sqrt) function(s).

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Stress concentration factor Formula

Stress concentration factor Example

Stress concentration factor Solution

Stress concentration factor Formula Elements

Other formulas in Failure Testing in Materials category

How to Evaluate Stress concentration factor?

FAQs on Stress concentration factor

Variable Name