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‎.DS_Store

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‎LICENSE

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Copyright (c) 2022 Felix Fritzen ([email protected])
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions
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are met:
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1. Redistributions of source code must retain the above copyright
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notice, this list of conditions and the following disclaimer.
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2. Redistributions in binary form must reproduce the above copyright
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notice, this list of conditions and the following disclaimer in the
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documentation and/or other materials provided with the distribution.
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THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS "AS IS" AND
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ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
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ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
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FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
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DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
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OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
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LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
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OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
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SUCH DAMAGE.

‎README.md

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# ComBoNormal: Composite Boxel Normal Identification
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Felix Fritzen <[email protected]>
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### Related publication
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S. Keshav, F. Fritzen, M. Kabel: FFT-based Homogenization at Finite Strains using Composite Boxels (ComBo), submitted to Computational Mechanics on April 28, 2022 *(arXiv preprint: http://arxiv.org/abs/2204.13624)*
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## Scope
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Composite Voxels (cf. Kabel (2015)) have shown to be a meaningful addition to the successful range of FFT-based solvers going back to the seminal work Moulinec (1998). In essence, a high resolution regular grid can benefit from coarse-graining and processing voxels on the interface of adjacent materials via classical laminate theory building on the established Hadamard compatibility and jump conditions.
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This software offers a simple yet accurate method for the computation of the coarse-grained structure alongside the normal vectors. HDF5 files are accepted as inputs. A comprehensive API is provided and examples are given within `jupyter` notebooks. The results can easily post-processed in `paraview` and a direct HDF5 export is part of the offered utility. Instructions for the postprocessing are contained in the `jupyter` notebook including a short tutorial video.
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![image](https://media.github.tik.uni-stuttgart.de/user/397/files/894cb180-9b4b-11ec-91e5-e718b43d0bf9)
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### References
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(Moulinec (1998)) H. Moulinec, P. Suquet: A numerical method for computing the overall response of nonlinear composites with complex microstructure, Computer Methods in Applied Mechanics and Engineering 157, p. 69-94, DOI: https://doi.org/10.1016/S0045-7825(97)00218-1.
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(Kabel (2015)) M. Kabel, D. Merkert, M. Schneider: Use of composite voxels in FFT-based homogenization, Computer Methods in Applied Mechanics and Engineering 294, p. 168/188, DOI: https://doi.org/10.1016/j.cma.2015.06.003
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## License information
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The software is released under a 2 clause FreeBSD license, see LICENSE file.

‎example/.DS_Store

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‎example/.ipynb_checkpoints/Untitled-checkpoint.ipynb

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"metadata": {},
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"nbformat": 4,
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"nbformat_minor": 5
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}

‎example/.ipynb_checkpoints/tutorial-checkpoint.ipynb

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‎example/ComBoNormal_paraview_tutorial.mp4

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‎example/ComBo_paraview_tutorial.mp4

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‎example/example_percolation.h5

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‎example/gfx/step_apply_file_open.png

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‎example/gfx/step_glyph_param1.png

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‎example/gfx/step_pipeline_browser.png

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‎example/gfx/step_sphere_threshold.png

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‎example/gfx/step_threshold.png

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‎example/gfx/step_threshold_param1.png

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‎example/gfx/step_threshold_param2.png

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‎example/gfx/teaser_hdf5.jpg

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‎example/gfx/teaser_prism.jpg

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‎example/gfx/teaser_sphere.jpg

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‎example/gfx/teaser_sphere.png

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‎example/percolation.h5

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‎example/percolation_combi.h5.xdmf

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</Geometry>
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<Attribute AttributeType="Scalar" Center="Cell" Name="VOL_FRAC">
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<DataItem
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Dimensions="32 32 32"
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Format="HDF"
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NumberType="Float"
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Precision="8">
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percolation.h5:/test/combi/vol_frac
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</DataItem>
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</Attribute>
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<Attribute AttributeType="Vector" Center="Cell" Name="NORMAL">
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<DataItem
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Dimensions="32 32 32 3"
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Format="HDF"
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NumberType="Float"
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Precision="8">
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percolation.h5:/test/combi/normal
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</DataItem>
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</Attribute>
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<Attribute AttributeType="Vector" Center="Cell" Name="NORMAL_CLASSIC">
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<DataItem
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NumberType="Float"
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percolation.h5:/test/combi/normal_classic
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</DataItem>
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</Attribute>
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<Attribute AttributeType="Scalar" Center="Cell" Name="COMBIMAT">
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<DataItem
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Dimensions="32 32 32"
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Format="HDF"
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NumberType="UChar">
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percolation.h5:/test/combi/combimat
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</DataItem>
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</Attribute>
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</Grid>
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</Domain>
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</Xdmf>

‎example/percolation_raw.h5.xdmf

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percolation.h5:/test/raw/img
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percolation.h5:/test/raw/iface
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</DataItem>
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</Attribute>
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</Grid>
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</Domain>
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</Xdmf>

‎example/prism.h5

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‎example/prism_combi.h5.xdmf

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NumberType="Float"
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prism.h5:/test/combi/vol_frac
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</DataItem>
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</Attribute>
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<Attribute AttributeType="Vector" Center="Cell" Name="NORMAL">
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Dimensions="20 20 20 3"
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prism.h5:/test/combi/normal
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</DataItem>
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<Attribute AttributeType="Vector" Center="Cell" Name="NORMAL_CLASSIC">
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<DataItem
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prism.h5:/test/combi/normal_classic
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</DataItem>
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</Attribute>
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<Attribute AttributeType="Scalar" Center="Cell" Name="COMBIMAT">
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<DataItem
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Dimensions="20 20 20"
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Format="HDF"
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prism.h5:/test/combi/combimat
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</Grid>
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</Xdmf>

‎example/prism_raw.h5.xdmf

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prism.h5:/test/raw/img
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<Attribute AttributeType="Scalar" Center="Cell" Name="IFACE">
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<DataItem
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prism.h5:/test/raw/iface
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</DataItem>
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</Xdmf>

‎example/sphere.h5

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‎example/sphere_combi.h5.xdmf

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sphere.h5://combi/vol_frac
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</DataItem>
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</Attribute>
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<Attribute AttributeType="Vector" Center="Cell" Name="NORMAL">
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<DataItem
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Dimensions="20 20 20 3"
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Format="HDF"
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sphere.h5://combi/normal
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</DataItem>
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</Attribute>
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<Attribute AttributeType="Vector" Center="Cell" Name="NORMAL_CLASSIC">
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<DataItem
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Dimensions="20 20 20 3"
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Format="HDF"
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NumberType="Float"
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sphere.h5://combi/normal_classic
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</DataItem>
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</Attribute>
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<Attribute AttributeType="Scalar" Center="Cell" Name="COMBIMAT">
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<DataItem
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Dimensions="20 20 20"
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Format="HDF"
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NumberType="UChar">
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sphere.h5://combi/combimat
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</DataItem>
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</Attribute>
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</Grid>
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</Domain>
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</Xdmf>

‎example/sphere_raw.h5.xdmf

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<Xdmf Version="2.2">
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<DataItem
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sphere.h5://raw/img
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</DataItem>
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</Attribute>
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<Attribute AttributeType="Scalar" Center="Cell" Name="IFACE">
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<DataItem
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Dimensions="160 160 160"
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Format="HDF"
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NumberType="Float"
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sphere.h5://raw/iface
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</DataItem>
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‎example/test.py

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