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    Visual Analysis of the Relation Between Stiffness Tensor and the Cauchy-Green Tensor

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    Date
    2021
    Author
    Blecha, Christian
    Hergl, Chiara
    Nagel, Thomas
    Scheuermann, Gerik ORCID
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    Abstract
    Stress and strain tensors, two well-known quantities in mechanical engineering, are linked through a fourth-order stiffness tensor, which is not considered by many visualizations due to its complexity. Considering an orthotropic material, the tensor naturally decomposes into nine known material properties.We used fiber surfaces to analyze a data set representing a biological tissue. A sphere is pushed into the material to confirm the mathematical link as well as the possibility to extract highly deformed regions even if only the stiffness tensor is available.
    BibTeX
    @inproceedings {10.2312:evs.20211052,
    booktitle = {EuroVis 2021 - Short Papers},
    editor = {Agus, Marco and Garth, Christoph and Kerren, Andreas},
    title = {{Visual Analysis of the Relation Between Stiffness Tensor and the Cauchy-Green Tensor}},
    author = {Blecha, Christian and Hergl, Chiara and Nagel, Thomas and Scheuermann, Gerik},
    year = {2021},
    publisher = {The Eurographics Association},
    ISBN = {978-3-03868-143-4},
    DOI = {10.2312/evs.20211052}
    }
    URI
    https://doi.org/10.2312/evs.20211052
    https://diglib.eg.org:443/handle/10.2312/evs20211052
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    Eurographics Association copyright © 2013 - 2023 
    Send Feedback | Contact - Imprint | Data Privacy Policy | Disable Google Analytics
    Theme by @mire NV
    System hosted at  Graz University of Technology.
    TUGFhA