Physics informed neural networks for continuum micromechanics

نویسندگان

چکیده

Recently, physics informed neural networks have successfully been applied to a broad variety of problems in mathematics and engineering. The principle idea is the usage network as global ansatz function for partial differential equations. Due approximation, difficulties displaying localized effects strong nonlinear solution fields by optimization. In this work we consider stress displacement invoked material inhomogeneities with sharp phase interfaces. This constitutes challenging problem method relying on ansatz. To overcome convergence issues, adaptive training strategies domain decomposition are studied. It shown, that approach capable accurately resolve stress, energy heterogeneous microstructures obtained from real-world μCT-scans.

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ژورنال

عنوان ژورنال: Computer Methods in Applied Mechanics and Engineering

سال: 2022

ISSN: ['0045-7825', '1879-2138']

DOI: https://doi.org/10.1016/j.cma.2022.114790