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Visualizing Gradients of Stress Tensor Fields

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Modeling, Analysis, and Visualization of Anisotropy

Part of the book series: Mathematics and Visualization ((MATHVISUAL))

Abstract

In some applications, it is necessary to look into gradients of (symmetric) second order tensor fields. These tensors are of third order. In three-dimensional space, we have 18 independent coefficients at each position, so the visualization of these fields provides a challenge. A particular case are stress gradients in structural mechanics. There are specific situations where the stress gradient is required together with the stress to study material behavior. Since the visualization community lacks methods to show these fields, we look at some preliminary ideas to design appropriate glyphs. We motivate our glyph designs by typical depictions of stress in engineering textbooks.

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Correspondence to Valentin Zobel .

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Zobel, V., Stommel, M., Scheuermann, G. (2017). Visualizing Gradients of Stress Tensor Fields. In: Schultz, T., Özarslan, E., Hotz, I. (eds) Modeling, Analysis, and Visualization of Anisotropy. Mathematics and Visualization. Springer, Cham. https://doi.org/10.1007/978-3-319-61358-1_4

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