Visualizing Gradients of Stress Tensor Fields

  • Valentin ZobelEmail author
  • Markus Stommel
  • Gerik Scheuermann
Conference paper
Part of the Mathematics and Visualization book series (MATHVISUAL)


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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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Valentin Zobel
    • 1
    Email author
  • Markus Stommel
    • 2
  • Gerik Scheuermann
    • 1
  1. 1.Leipzig UniversityLeipzigGermany
  2. 2.TU Dortmund UniversityDortmundGermany

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