Stress concentration factor Calculator

✖Crack length represents the length of a surface crack, or half of the length of an internal crack.ⓘ Crack Length [a]			+10% -10%
✖Radius of curvature of the crack tip.ⓘ Radius of curvature [𝜌_t]			+10% -10%

✖The Stress Concentration Factor is simply a measure of the degree to which external stress is amplified at the tip of a crack.ⓘ Stress concentration factor [k]

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Formula

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Stress concentration factor

Formula

`"k" = 2*sqrt("a"/"𝜌"_{"t"})`

Example

`"20"=2*sqrt("10μm"/"0.1μm")`

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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/𝜌_t)
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/𝜌_t) --> 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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Created by Hariharan V S

Indian Institute of Technology (IIT), Chennai

Hariharan V S has created this Calculator and 25+ more calculators!

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< 12 Failure Testing in Materials Calculators

Fracture toughness

Go Fracture Toughness = Dimensionless Parameter in Fracture Toughness*Applied stress*sqrt(pi*Crack Length)

Critical stress for crack propagation

Go Critical stress = sqrt(2*Young's Modulus*Specific surface energy/(pi*Crack Length))

Percent cold work

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-Initial Length)*100/Initial Length

Stress concentration factor

Go Stress Concentration Factor = 2*sqrt(Crack Length/Radius of curvature)

Mean stress of stress cycle (fatigue)

Go Mean Stress of Stress Cycle = (Maximum Tensile Stress+Minimum compressive stress)/2

Maximum stress at crack tip

Go Maximum Stress at Crack Tip = Stress Concentration Factor*Applied stress

Range of stress (fatigue)

Go Range of stress = Maximum Tensile Stress-Minimum compressive stress

Stress ratio (fatigue)

Go Stress ratio = Minimum compressive stress/Maximum Tensile Stress

Modulus of resilience

Go Modulus of Resilience = Yield Strength^2/(2*Young's Modulus)

Stress amplitude (fatigue)

Go Stress Amplitude = Range of stress/2

Stress concentration factor Formula

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

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 (𝜌_t) 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/𝜌_t) 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 (𝜌_t). 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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