Maximum stress at crack tip Calculator

✖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]			+10% -10%
✖Applied stress is denoted by the symbol σ.ⓘ Applied stress [σ]			+10% -10%

✖Maximum Stress at Crack Tip is the maximum amount of stress at the tip of a crack.ⓘ Maximum stress at crack tip [σ_max]

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Formula

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Maximum stress at crack tip

Formula

`"σ"_{"max"} = "k"*"σ"`

Example

`"2052.6Pa"="22"*"93.3Pa"`

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Maximum stress at crack tip Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Stress at Crack Tip = Stress Concentration Factor*Applied stress
σ_max = k*σ
This formula uses 3 Variables

Variables Used

Maximum Stress at Crack Tip - (Measured in Pascal) - Maximum Stress at Crack Tip is the maximum amount of stress at the tip of a crack.
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.
Applied stress - (Measured in Pascal) - Applied stress is denoted by the symbol σ.

STEP 1: Convert Input(s) to Base Unit

Stress Concentration Factor: 22 --> No Conversion Required
Applied stress: 93.3 Pascal --> 93.3 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_max = k*σ --> 22*93.3

Evaluating ... ...

σ_max = 2052.6

STEP 3: Convert Result to Output's Unit

2052.6 Pascal --> No Conversion Required

FINAL ANSWER

2052.6 Pascal <-- Maximum Stress at Crack Tip

(Calculation completed in 00.005 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

Maximum stress at crack tip Formula

Maximum Stress at Crack Tip = Stress Concentration Factor*Applied stress
σ_max = k*σ

Effect of crack dimensions on the maximum stress

For a relatively long microcrack that has a small tip radius of curvature, the stress concentration can be very large. Thus, the maximum stress at the crack tip can be sufficient to cause fracture.

How to Calculate Maximum stress at crack tip?

Maximum stress at crack tip calculator uses Maximum Stress at Crack Tip = Stress Concentration Factor*Applied stress to calculate the Maximum Stress at Crack Tip, Maximum stress at crack tip is the product of stress concentration factor and applied stress. Maximum Stress at Crack Tip is denoted by σ_max symbol.

How to calculate Maximum stress at crack tip using this online calculator? To use this online calculator for Maximum stress at crack tip, enter Stress Concentration Factor (k) & Applied stress (σ) and hit the calculate button. Here is how the Maximum stress at crack tip calculation can be explained with given input values -> 2052.6 = 22*93.3.

FAQ

What is Maximum stress at crack tip?

Maximum stress at crack tip is the product of stress concentration factor and applied stress and is represented as σ_max = k*σ or Maximum Stress at Crack Tip = Stress Concentration Factor*Applied stress. The Stress Concentration Factor is simply a measure of the degree to which external stress is amplified at the tip of a crack & Applied stress is denoted by the symbol σ.

How to calculate Maximum stress at crack tip?

Maximum stress at crack tip is the product of stress concentration factor and applied stress is calculated using Maximum Stress at Crack Tip = Stress Concentration Factor*Applied stress. To calculate Maximum stress at crack tip, you need Stress Concentration Factor (k) & Applied stress (σ). With our tool, you need to enter the respective value for Stress Concentration Factor & Applied stress 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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