Graduate Thesis Or Dissertation

 

Applying 2D Tensor Field Topology to Symmetric Stress Tensors Public Deposited

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https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/rn301661h

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  • Tensor mathematics provides a powerful language to visualize and analyze physical phenomena. In the last three decades, tensors have been used in various application areas. The visualization and analysis of tensors fields have seen much advance, both in 2D and 3D. However, the physical interpretations of the topological analysis are not enough in tensor fields, such as why degenerate points appear in tensors fields. In the thesis, we will introduce our methods for visualizing and analyzing 2D symmetric tensor. We explore the physical meanings of degenerate points and present our results in the research.
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