I am analyzing fatigue behavior in multifunctional composites and need to compute the hysteresis loop area from stress-strain data. My plan is to use numerical integration in Python, considering:
🔹 Trapezoidal Rule (numpy.trapz) 🔹 Simpson’s Rule (scipy.integrate.simps) 🔹 Other advanced numerical techniques?
What’s the best approach for accuracy and efficiency? Have you worked on similar calculations before? Any preferred method for noisy experimental data?
The noise level in my data, measured using the Coefficient of Variation (CV), varies with thickness, applied stress level, and voltage. For example, at U = 5V, CV is around 49–50% for force and 42–44% for displacement. These values change under different conditions.
Trapezoidal rule is okay however, it's hard to comment without understanding the nature of data.
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