![]() | This article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
|
F should be defined somewhere. — Preceding unsigned comment added by 147.83.143.248 ( talk) 16:46, 6 March 2014 (UTC)
Wikipedians will be better served if instead of having a single article covering half a dozen stress measures wikipedia hosted individual articles dedicated to each of these topics. I would create the articles myself but at this moment my knowledge of any stress measure beyond Cauchy's is rather limited. So, is anyone up for the job? -- Mecanismo | Talk 22:45, 21 September 2010 (UTC)
The definition of Cauchy stress says
Why and not just ? Is a 3×3 matrix or a 1×6 vector?
--
Jorge Stolfi (
talk)
02:59, 27 February 2013 (UTC)
Perhaps there are multiple conventions, which would be unfortunate, but the Malvern text has the opposite definitions for the nominal and first Piola-Kirchoff stresses from what you are using. 146.6.104.189 ( talk) 17:45, 11 August 2016 (UTC)
Also the nomenclature is confusing because "stress" is elsewhere defined as a vector (the traction force divided by the area), while "stress tensor" is the linear map from normal to stress vector. Perhaps some occurrences of "stress" in this article should be changed to "stress tensor" for clarity?
--
Jorge Stolfi (
talk)
03:09, 27 February 2013 (UTC)
Sorry but I am quite confused. I presume that is the Jacobian matrix of the displacement map, correct? Then, suppose a cube of "mathematical rubber" 1 meter on each side is stretched 100 times in the z direction, and unchanged in x and y. The Jacobian will be
So if the z traction force in the current configuration is 1 newton vertical, the "pulled back" force in the original configuration will be only 0.01 newton vertical. The original stress will be 1 Pa, the "pulled back" stress will be only 0.01 Pa. Is this correct? -- Jorge Stolfi ( talk) 04:52, 27 February 2013 (UTC)
![]() | This article is rated Start-class on Wikipedia's
content assessment scale. It is of interest to the following WikiProjects: | ||||||||||
|
F should be defined somewhere. — Preceding unsigned comment added by 147.83.143.248 ( talk) 16:46, 6 March 2014 (UTC)
Wikipedians will be better served if instead of having a single article covering half a dozen stress measures wikipedia hosted individual articles dedicated to each of these topics. I would create the articles myself but at this moment my knowledge of any stress measure beyond Cauchy's is rather limited. So, is anyone up for the job? -- Mecanismo | Talk 22:45, 21 September 2010 (UTC)
The definition of Cauchy stress says
Why and not just ? Is a 3×3 matrix or a 1×6 vector?
--
Jorge Stolfi (
talk)
02:59, 27 February 2013 (UTC)
Perhaps there are multiple conventions, which would be unfortunate, but the Malvern text has the opposite definitions for the nominal and first Piola-Kirchoff stresses from what you are using. 146.6.104.189 ( talk) 17:45, 11 August 2016 (UTC)
Also the nomenclature is confusing because "stress" is elsewhere defined as a vector (the traction force divided by the area), while "stress tensor" is the linear map from normal to stress vector. Perhaps some occurrences of "stress" in this article should be changed to "stress tensor" for clarity?
--
Jorge Stolfi (
talk)
03:09, 27 February 2013 (UTC)
Sorry but I am quite confused. I presume that is the Jacobian matrix of the displacement map, correct? Then, suppose a cube of "mathematical rubber" 1 meter on each side is stretched 100 times in the z direction, and unchanged in x and y. The Jacobian will be
So if the z traction force in the current configuration is 1 newton vertical, the "pulled back" force in the original configuration will be only 0.01 newton vertical. The original stress will be 1 Pa, the "pulled back" stress will be only 0.01 Pa. Is this correct? -- Jorge Stolfi ( talk) 04:52, 27 February 2013 (UTC)