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}...)
 
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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.
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.
==References==
<references/>
'''Related reading'''
*[http://dx.doi.org/10.1063/1.3245303 Aidan P. Thompson, Steven J. Plimpton, and William Mattson "General formulation of pressure and stress tensor for arbitrary many-body interaction potentials under periodic boundary conditions", Journal of Chemical Physics '''131''' 154107 (2009)]
[[category: classical mechanics]]
[[category: classical mechanics]]

Revision as of 15:45, 20 October 2009

The stress is given by

where is the force, is the area, and is the stress tensor, given by

where where , , and are normal stresses, and , , , , , and are shear stresess.

References

Related reading