Discovery of sparse hysteresis models for piezoelectric materials

Abhishek Chandra (Corresponding author), Bram Daniels, Mitrofan Curti, Koen Tiels, Elena A. Lomonova, Daniel M. Tartakovsky

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This article presents an approach for modeling hysteresis in piezoelectric materials that leverages recent advancements in machine learning, particularly in sparse-regression techniques. While sparse regression has previously been used to model various scientific and engineering phenomena, its application to nonlinear hysteresis modeling in piezoelectric materials has yet to be explored. The study employs the least squares algorithm with a sequential threshold to model the dynamic system responsible for hysteresis, resulting in a concise model that accurately predicts hysteresis for both simulated and experimental piezoelectric material data. Several numerical experiments are performed, including learning butterfly shaped hysteresis and modeling real-world hysteresis data for a piezoelectric actuator. The presented approach is compared to traditional regression-based and neural network methods, demonstrating its efficiency and robustness.
Original languageEnglish
Article number214101
Number of pages7
JournalApplied Physics Letters
Issue number21
Publication statusPublished - 22 May 2023


  • Hysteresis
  • piezoelectric
  • sparse regression
  • constitutive laws
  • Constitutive model


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