Visual Analysis of the Relation Between Stiffness Tensor and the Cauchy-Green Tensor Article Swipe
Christian Blecha
,
Chiara Hergl
,
Thomas Nagel
,
Gerik Scheuermann
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.2312/evs.20211052
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.2312/evs.20211052
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.
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Metadata
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- OA Status
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- OpenAlex ID
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All OpenAlex metadata
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https://openalex.org/W3176602199Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.2312/evs.20211052Digital Object Identifier
- Title
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Visual Analysis of the Relation Between Stiffness Tensor and the Cauchy-Green TensorWork title
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articleOpenAlex work type
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enPrimary language
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2021Year of publication
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2021-01-01Full publication date if available
- Authors
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Christian Blecha, Chiara Hergl, Thomas Nagel, Gerik ScheuermannList of authors in order
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https://doi.org/10.2312/evs.20211052Publisher landing page
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YesWhether a free full text is available
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greenOpen access status per OpenAlex
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https://doi.org/10.2312/evs.20211052Direct OA link when available
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Mathematics, Tensor (intrinsic definition), Mathematical analysis, Cauchy distribution, GeometryTop concepts (fields/topics) attached by OpenAlex
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2Total citation count in OpenAlex
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2022: 2Per-year citation counts (last 5 years)
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20Other works algorithmically related by OpenAlex
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