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About this paper

Jan Niklas Fuhg, Govinda Anantha Padmanabha, Nikolaos Bouklas, Bahador Bahmani, WaiChing Sun, Nikolaos N. Vlassis, Moritz Flaschel, Pietro Carrara and 1 more

This review paper provides a comprehensive classification and critical analysis of data-driven methods for discovering and modeling constitutive laws in solid mechanics. It emphasizes integrating physical constraints into machine learning approaches to enhance model interpretability, generalization, and trustworthiness, while also proposing a verification and validation framework.

Key insights

  • Integrating physical constraints and domain knowledge into data-driven models is vital for enhancing interpretability, improving generalization, and reducing the data requirements of purely data-driven, black-box ML models.
  • The field is undergoing a paradigm shift from purely phenomenological, expert-driven constitutive modeling to more automated, data-driven approaches that can distill complex material behaviors from large datasets.
  • Effective data sampling and experimental design are critical for the efficiency and reliability of data-driven models, particularly in situations with limited data availability.

Summary by alphaXiv.

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