How to Average Hysteresis Curves and Calculate Area in Matlab?

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In summary, the conversation is about averaging hysteresis curves in Matlab or Excel and calculating the area of a hysteresis in Matlab. The questioner is new and looking for assistance with these tasks. They receive a suggestion to use a flat average in Matlab for the first question and to use a numerical integration technique for the second question.
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Christiane1
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Hello everybody

I am new here, so not sure if this is really the right category.

Have recorded numerous hysteresis (x-y) curves experimentally and want to average them all out to get one clean master curve.
Does anybody know if algorithms exist for that in Matlab or in Excel ?

Then a second question , how can the area of a hysteresis be calculated in Matlab?

Many thanks for your feedback

Chris.
 
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  • #2
Well how complicated do you want to combine your data? A flat average of all the points at particular values could easily just be averaged in matlab.

As for the area, you'll probably want to do some sort of numerical integration technique. You could either write your own, or find one on the internet.
 

FAQ: How to Average Hysteresis Curves and Calculate Area in Matlab?

What is the concept of averaging of hysterisis curves?

The averaging of hysterisis curves refers to the process of calculating the average of multiple hysterisis curves. A hysterisis curve is a graphical representation of the relationship between two variables, where one variable depends on the other. Averaging of hysterisis curves is commonly used in the field of material science and engineering to analyze and understand the behavior of materials under varying conditions.

Why is averaging of hysterisis curves important in material science?

Averaging of hysterisis curves is important in material science because it allows researchers to study and compare the behavior of materials under different conditions. By averaging multiple curves, researchers can identify patterns and trends that may not be visible in a single curve, providing a more comprehensive understanding of the material's properties.

How is the average of hysterisis curves calculated?

The average of hysterisis curves is calculated by taking the arithmetic mean of the corresponding data points from each curve. This means that for each data point, the values from all curves are added and then divided by the total number of curves. The resulting values are then plotted on a new graph to show the average curve.

What are some applications of averaging of hysterisis curves?

Averaging of hysterisis curves has various applications, including the analysis of magnetic materials, studying the behavior of ferroelectric materials, and understanding the mechanical properties of materials such as rubber and polymers. It can also be used in the field of geology to study the stress-strain relationship of rocks.

Are there any limitations to averaging of hysterisis curves?

Yes, there are some limitations to averaging of hysterisis curves. One limitation is that the curves being averaged must have similar shapes and characteristics. If the curves vary significantly, the resulting average curve may not accurately represent the behavior of the material. Additionally, the averaging process may smooth out any small variations or anomalies in the data, making it difficult to identify subtle changes in the material's behavior.

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