Stress - Revision history

Carl McBride: Replaced page with a redirect to pressure

2011-07-15T10:46:24Z

Replaced page with a redirect to pressure

← Older revision		Revision as of 12:46, 15 July 2011
Line 1:		Line 1:
	~~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.
	~~==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)]
	*[http://dx.doi.org/10.1063/1.3316134 G. C. Rossi and M. Testa "The stress tensor in thermodynamics and statistical mechanics", Journal of Chemical Physics '''132''' 074902 (2010)]
	*[http://dx.doi.org/10.1063/1.3582905 Nikhil Chandra Admal and E. B. Tadmor "Stress ~~and heat flux for arbitrary multibody potentials: A unified framework", Journal of Chemical Physics '''134''' 184106 (2011)]~~
	~~[[category: classical mechanics~~]]

Carl McBride: Added a recent publication

2011-05-16T09:11:26Z

Added a recent publication

← Older revision		Revision as of 11:11, 16 May 2011
Line 18:		Line 18:
	*[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)]		*[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)]
	*[http://dx.doi.org/10.1063/1.3316134 G. C. Rossi and M. Testa "The stress tensor in thermodynamics and statistical mechanics", Journal of Chemical Physics '''132''' 074902 (2010)]		*[http://dx.doi.org/10.1063/1.3316134 G. C. Rossi and M. Testa "The stress tensor in thermodynamics and statistical mechanics", Journal of Chemical Physics '''132''' 074902 (2010)]
			*[http://dx.doi.org/10.1063/1.3582905 Nikhil Chandra Admal and E. B. Tadmor "Stress and heat flux for arbitrary multibody potentials: A unified framework", Journal of Chemical Physics '''134''' 184106 (2011)]
	[[category: classical mechanics]]		[[category: classical mechanics]]

Carl McBride: /* References */ Added a new publication.

2010-02-17T12:06:10Z

References: Added a new publication.

← Older revision		Revision as of 14:06, 17 February 2010
Line 17:		Line 17:
	'''Related reading'''		'''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)]		*[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)]
			*[http://dx.doi.org/10.1063/1.3316134 G. C. Rossi and M. Testa "The stress tensor in thermodynamics and statistical mechanics", Journal of Chemical Physics '''132''' 074902 (2010)]
	[[category: classical mechanics]]		[[category: classical mechanics]]

Nice and Tidy: Added a paper

2009-10-20T14:45:16Z

Added a paper

← Older revision		Revision as of 16:45, 20 October 2009
Line 13:		Line 13:

	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]]

Carl McBride: New page: The '''stress''' is given by : ${\mathbf F} = \sigma_{ij} {\mathbf A}$ where ${\mathbf F}$ is the force, ${\mathbf A}$ is the area, and $\sigma_{ij}...$

2008-01-31T10:27:19Z

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}...

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}</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]]

Stress - Revision history

Carl McBride: Replaced page with a redirect to pressure

Carl McBride: Added a recent publication

Carl McBride: /* References */ Added a new publication.

Nice and Tidy: Added a paper

Carl McBride: New page: The '''stress''' is given by :{\mathbf F} = \sigma_{ij} {\mathbf A} where {\mathbf F} is the force, {\mathbf A} is the area, and \sigma_{ij}...

Carl McBride: New page: The '''stress''' is given by : ${\mathbf F} = \sigma_{ij} {\mathbf A}$ where ${\mathbf F}$ is the force, ${\mathbf A}$ is the area, and $\sigma_{ij}...$