Estimate Basquin constants from S-N curve |
Select to let the program calculate the Basquin equation constants based on the given data points of the S-N curve. For high cycle fatigue (number of cycles N > 104) an S-N curve can be approximated by a straight line when plotted on a log-log scale. Basquin’s equation is a power law relationship between the applied stress cycles (S) in the y-axis and the number of cycles to failure (N) in the x-axis.
Basquin’s equation is only valid up to the endurance limit or fatigue limit. The endurance limit is the highest alternating stress that does not result in fatigue failure. In other words, if the alternating stress is equal to or lower than the endurance limit, the number of stress cycles to cause failure becomes very large (practically infinite). The endurance limit is usually defined for zero-mean alternating stresses. The endurance limit is also called the fatigue limit. Some metals do not have a measurable endurance limit.
The program considers the stress range values Sr for the Basquin equation. It multiplies by 2 the alternating stress values (Sa) of the S-N curve to account for a fully-reversed load (Sr = 2*Sa).
The Basquin’s equation of the S-N fatigue curve is given as: - N = B / (Sr) m , or
- log (Sr) = B - m log (N)
When you select this option the Curve specific constant (B) and Slope of S-N curve (m) options are inactive. The software calculates the B and m constants by fitting a straight line through the S-N data points using the least-squares line fitting technique. These constants are material parameters determined by fatigue testing experiments under different stress levels.
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Units |
Sets the units for the stress range Sr. |
Consider the cut-off point for the S-N curve at row |
Sets the cut-off point of the S-N curve that is considered for the calculation of the Basquin constants. If you enter 0 or 1, all the data points of the S-N curve are considered for fitting a straight line using the least-square fitting method. For example, if you enter 4, the data set of the first four rows of the S-N curve are considered for fitting a straight line and calculating the Basquin constants B and m. It is recommended to use as a cut-off point the fatigue endurance limit. The S-N curve is considered a horizontal line after the cut-off point.
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Curve specific constant (B) |
Enter the value ( must be positive real number) for the S-N specific constant B. This is the value of the stress range Sr at one cycle. |
Slope of S-N curve (m) |
Enter the value (must be a positive integer) for the slope of the S-N curve m. When two data points (N1, S1) and (N2, S2) are known, the slope of the S-N curve m is given by:
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Source |
Enter information about the source of the S-N data. |
View |
Select to view a graph of the S-N curve. |
Save |
Saves the S-N curve data in a *.dat or *.csv (comma delimited) file format. |