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The structural behavior of beams under distributed loads is critical for engineering analysis, which focuses on predicting how beams bend and react under such conditions. Different types of beams (e.g., cantilever, supported, or overhanging) behave differently under distributed load conditions.
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An optimized differential evolution algorithm for constitutive model fitting of arteries.

Sayed Ahmadreza Razian1, Majid Jadidi1

  • 1Department of Biomechanics, Biomechanics Research Building, University of Nebraska Omaha, Omaha, NE, USA.

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A new Differential Evolution (DE) algorithm and Minkowski/Chebyshev loss functions offer superior fitting for arterial mechanical properties. This improves constitutive model accuracy and computational efficiency.

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Area of Science:

  • Biomedical Engineering
  • Materials Science
  • Computational Mechanics

Background:

  • Arterial mechanical properties are crucial for cardiovascular health.
  • Biaxial testing and constitutive models are standard for assessment.
  • Current fitting algorithms may not yield optimal results.

Purpose of the Study:

  • To introduce an optimized fitting routine for improved constitutive model accuracy.
  • To evaluate the efficacy of Differential Evolution (DE) and novel loss functions.
  • To enhance the description of human superficial femoral artery mechanical behavior.

Main Methods:

  • Acquired experimental stress-stretch data from 16 human superficial femoral arteries via biaxial testing.
  • Employed the Differential Evolution (DE) metaheuristic algorithm with Minkowski and Chebyshev distance loss functions.
  • Utilized grid search for hyperparameter tuning to optimize algorithm settings.

Main Results:

  • The DE algorithm consistently outperformed traditional fitting algorithms across all samples.
  • Minkowski and Chebyshev distance-based loss functions yielded better fits than square error.
  • Achieved superior fitting quality for constitutive models of arterial tissue.

Conclusions:

  • The proposed DE-based fitting routine significantly enhances constitutive model accuracy for arterial mechanics.
  • Novel loss functions improve the fit, enabling simpler constitutive relations with fewer parameters.
  • This approach increases the efficiency of computational implementations in biomechanics.