Stress concentration factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stress Concentration Factor = 2*sqrt(Crack Length/Radius of curvature)
k = 2*sqrt(a/𝜌t)
This formula uses 1 Functions, 3 Variables
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
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.
Crack Length - (Measured in Meter) - Crack length represents the length of a surface crack, or half of the length of an internal crack.
Radius of curvature - (Measured in Meter) - Radius of curvature of the crack tip.
STEP 1: Convert Input(s) to Base Unit
Crack Length: 10 Micrometer --> 1E-05 Meter (Check conversion ​here)
Radius of curvature: 0.1 Micrometer --> 1E-07 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
k = 2*sqrt(a/𝜌t) --> 2*sqrt(1E-05/1E-07)
Evaluating ... ...
k = 20
STEP 3: Convert Result to Output's Unit
20 --> No Conversion Required
FINAL ANSWER
20 <-- Stress Concentration Factor
(Calculation completed in 00.004 seconds)

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Indian Institute of Technology (IIT), Chennai
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Failure Testing in Materials Calculators

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​ Go Critical stress = sqrt(2*Young's Modulus*Specific surface energy/(pi*Crack Length))
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​ Go Percent cold work = 100*(Cross-sectional Area-Area after deformation)/Cross-sectional Area
Percent reduction in area
​ Go Percent reduction in area = (Cross-sectional Area-Fracture area)*100/Cross-sectional Area
Percent elongation
​ Go Percent elongation = (Fracture Length-Original Length)*100/Original Length

Stress concentration factor Formula

Stress Concentration Factor = 2*sqrt(Crack Length/Radius of curvature)
k = 2*sqrt(a/𝜌t)

Maximum stress at the crack tip

If it is assumed that a crack is similar to an elliptical hole through a plate, and is oriented perpendicular to the applied stress, the maximum stress at the crack tip is the product of stress concentration factor and applied (nominal) stress.

How to Calculate Stress concentration factor?

Stress concentration factor calculator uses Stress Concentration Factor = 2*sqrt(Crack Length/Radius of curvature) to calculate 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 calculate Stress concentration factor using this online calculator? To use this online calculator for Stress concentration factor, enter Crack Length (a) & Radius of curvature (𝜌t) and hit the calculate button. Here is how the Stress concentration factor calculation can be explained with given input values -> 20 = 2*sqrt(1E-05/1E-07).

FAQ

What is 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 and is represented as k = 2*sqrt(a/𝜌t) or Stress Concentration Factor = 2*sqrt(Crack Length/Radius of curvature). Crack length represents the length of a surface crack, or half of the length of an internal crack & Radius of curvature of the crack tip.
How to calculate 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 is calculated using Stress Concentration Factor = 2*sqrt(Crack Length/Radius of curvature). To calculate Stress concentration factor, you need Crack Length (a) & Radius of curvature (𝜌t). With our tool, you need to enter the respective value for Crack Length & Radius of curvature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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