Stress: Difference between revisions

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(New page: The '''stress''' is given by :<math>{\mathbf F} = \sigma_{ij} {\mathbf A}</math> where <math>{\mathbf F}</math> is the force, <math>{\mathbf A}</math> is the area, and <math>\sigma_{ij}...)
 
(Replaced page with a redirect to pressure)
 
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The '''stress''' is given by
#REDIRECT[[Pressure#Stress]]
 
:<math>{\mathbf F} = \sigma_{ij} {\mathbf A}</math>
 
where <math>{\mathbf F}</math> is the force,
<math>{\mathbf A}</math> is the area, and <math>\sigma_{ij}</math> is the stress tensor, given by
 
:<math>\sigma_{ij} \equiv \left[{\begin{matrix}
  \sigma _x & \tau _{xy} & \tau _{xz} \\
  \tau _{yx} & \sigma _y & \tau _{yz} \\
  \tau _{zx} & \tau _{zy} & \sigma _z \\
  \end{matrix}}\right]</math>
 
where where <math>\ \sigma_{x}</math>, <math>\ \sigma_{y}</math>, and <math>\ \sigma_{z}</math> are normal stresses, and  <math>\ \tau_{xy}</math>, <math>\ \tau_{xz}</math>, <math>\ \tau_{yx}</math>, <math>\ \tau_{yz}</math>, <math>\ \tau_{zx}</math>, and <math>\ \tau_{zy}</math> are shear stresess.
[[category: classical mechanics]]

Latest revision as of 12:46, 15 July 2011

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