File:Single line conic section contour plots.svg

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Summary

Description
English: See Strain_tensor_field_for_bending.svg. If the strain 1+ e is too close to 1, then an icon for tensors with negative eigenvalues can be used. This one is inspired by the tensor for two springs, with the understanding the a negative spring constant means instability. The images plot a single contour of potential energy, which is for two identical springs oriented at right angles. Red shading indicates regions of high potential energy, so in (a) the particle is in a potential well, attracted to the center. Unstable equilibrium at the center is depicted in (b), where the the center is like the top of a hill. The saddle points are (c) and (d). In the former, the objects on the vertical axis are pushed away from the red and towards the center, from there they are likely to fall either to the right or the left. In (d) the ultimate fate of almost all particles is to fall upwards or downwards in vertical directions.
Date
Source Own work
Author Guy vandegrift

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
Creative Commons CC-Zero This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication.
The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.

Captions

Alternative convention for symmetric tensor visual

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depicts

24 January 2024

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Date/TimeThumbnailDimensionsUserComment
current00:59, 25 January 2024Thumbnail for version as of 00:59, 25 January 2024386 × 267 (26 KB)Guy vandegriftthicker lines
00:46, 25 January 2024Thumbnail for version as of 00:46, 25 January 2024386 × 267 (28 KB)Guy vandegriftUploaded own work with UploadWizard

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