Applying 2D Tensor Field Topology to Solid Mechanics Simulations

  • Yue ZhangEmail author
  • Xiaofei Gao
  • Eugene Zhang
Conference paper
Part of the Mathematics and Visualization book series (MATHVISUAL)


There has been much work in the topological analysis of symmetric tensor fields, both in 2D and 3D. However, there has been relatively little work in the physical interpretations of the topological analysis, such as why wedges and trisectors appear in stress and strain tensors. In this chapter, we explore the physical meanings of degenerate points and describe some results made during our initial investigation.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.School of Electrical Engineering and Computer Science, 3117 Kelley Engineering CenterOregon State UniversityCorvallisUSA
  2. 2.School of Electrical Engineering and Computer Science, 1148 Kelley Engineering CenterOregon State UniversityCorvallisUSA
  3. 3.School of Electrical Engineering and Computer Science, 2111 Kelley Engineering CenterOregon State UniversityCorvallisUSA

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