Data-driven micromorphic mechanics for materials with strain localization
<|reference_start|>Data-driven micromorphic mechanics for materials with strain localization: This paper explores the role of generalized continuum mechanics, and the feasibility of model-free data-driven computing approaches thereof, in solids undergoing failure by strain localization. Specifically, we set forth a methodology for capturing material instabilities using data-driven mechanics without prior information regarding the failure mode. We show numerically that, in problems involving strain localization, the standard data-driven framework for Cauchy/Boltzmann continua fails to capture the length scale of the material, as expected. We address this shortcoming by formulating a generalized data-driven framework for micromorphic continua that effectively captures both stiffness and length-scale information, as encoded in the material data, in a model-free manner. These properties are exhibited systematically in a one-dimensional softening bar problem and further verified through selected plane-strain problems.<|reference_end|>
@article{ulloa2024data-driven,
    title={Data-driven micromorphic mechanics for materials with strain
  localization},
    author={Jacinto Ulloa, Laurent Stainier, Michael Ortiz, Jos'e E. Andrade},
    journal={Computer Methods in Applied Mechanics and Engineering, 429, 117180
  (2024)},
    year={2024},
    doi={10.1016/j.cma.2024.117180},
    archivePrefix={arXiv},
    eprint={2402.15966},
    primaryClass={math.NA cs.NA}
}