Principal Axes and Invariants

  • Wilhelm Flügge


We have seen (on p. 46) how the force transmitted in an arbitrary area element dA can be described in terms of the nine components σ ij of the stress tensor. We may ask whether, among all the area elements passing through a given point, one can find a special one for which the force σ ij dA i happens to be normal to the area on which it is acting. In that case the stress would be a simple tension or compression, not accompanied by a shear stress. The normal to such an area element and, hence, the direction of the stress in it, is called a principal direction or a principal axis of the stress tensor σ ij .


Reference Frame Principal Axis Principal Curvature Principal Direction Symmetric Tensor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1972

Authors and Affiliations

  • Wilhelm Flügge
    • 1
  1. 1.Stanford UniversityStanfordUSA

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