Lejeune, Emma2020-10-092020-10-092020https://hdl.handle.net/2144/41450The paper "Mechanical MNIST: A benchmark dataset for mechanical metamodels" can be found at https://doi.org/10.1016/j.eml.2020.100659. All code necessary to reproduce these finite element simulations is available on GitHub (https://github.com/elejeune11/Mechanical-MNIST-fashion). For questions, please contact Emma Lejeune (elejeune@bu.edu).Each dataset in the Mechanical MNIST collection contains the results of 70,000 (60,000 training examples + 10,000 test examples) finite element simulation of a heterogeneous material subject to large deformation. Mechanical MNIST - Fashion is generated by first converting the fashion MNIST bitmap images (https://github.com/zalandoresearch/fashion-mnist) to 2D heterogeneous blocks of material. Consistent with the MNIST bitmap ($28 \times 28$ pixels), the material domain is a $28 \times 28$ unit square. In “Mechanical MNIST - Fashion,” the material is Neo-Hookean with a varying modulus. In the Uniaxial Extension (UE) case, the bottom of the domain is fixed (Dirichlet boundary condition), the left and right edges of the domain are free, and the top of the domain is fixed horizontally and moved vertically to a given fixed displacement (d). In the Equibiaxial Extension (EE) case, the top of the domain is free horizontally and moved vertically to a given fixed displacement (d), the right of the domain is free vertically and moved horizontally to a given fixed displacement (d), the bottom of the domain is free horizontally and moved vertically to a given fixed displacement (-d), and the left of the domain is free vertically and moved horizontally to a given fixed displacement (-d). The results of the simulations include: (1) change in strain energy at a perturbation level step (d=0.001), and at the final applied displacement (d=14 for UE, d=7 for EE) (2) total reaction force at a perturbation level step (d=0.001 for UE, d=.0005 for EE), and at the final applied displacement (d=14 for UE, d=7 for EE), (3) full field displacement at a perturbation level step (d=0.001), and at the final applied displacement (d=14 for UE, d=7 for EE), and (4) the components of the deformation gradient (F11, F12, F21, F22) at the final applied displacement (d=14 for UE, d=7 for EE). The x-reaction (first column) and y-reaction (second column) forces are given. For the UE case, this corresponds to the top boundary. For the EE case, this correspond to the left and top boundaries. All simulations are conducted with the FEniCS computing platform (https://fenicsproject.org). The code to reproduce these simulations and import these text files is hosted on GitHub (https://github.com/elejeune11/Mechanical-MNIST-fashion).en-USThis dataset is distributed under the terms of the Creative Commons Attribution-ShareAlike 4.0 License. The original Fashion MNIST bitmaps are from Zalando Research (https://github.com/zalandoresearch/fashion-mnist, https://arxiv.org/abs/1708.07747) and are licensed under The MIT License (MIT) https://opensource.org/licenses/MIT. Copyright © 2017 Zalando SE, https://tech.zalando.com. The finite element simulations were conducted by Emma Lejeune using the open source software FEniCS (https://fenicsproject.org).http://creativecommons.org/licenses/by-sa/4.0/Machine learningFinite element analysisMNISTFEAMetamodelRegressionSurrogate modelDataset