Talk:Linear elasticity
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How's about having the standard 'physicists/engineers' notation for these equations included also. I doubt that many of these over 40 know the mathematicians 'differential forms' notation. Linuxlad 9 July 2005 12:12 (UTC)
- I added a page called 3-D Elasticity that does this, I believe. I don't know what everyone wants to do with it, but I would have no problem combining the two pages. I actually didn't see this one until after I'd made the 3-D elasticity one. I think my version is at least as useful, since I don't see how a person could get any meaning from the Einsteinian notation forms, but then I'm not a mathmatician. - EndingPop 21:00, 23 December 2005 (UTC)
[edit] Fixed equation
The equation for the acoustic algebraic operator was obviously wrong, since the unit tensor and the k-k dyad don't have the same dimensions. I think it is fixed, but I am not sure about the eigenvalue statements.
With regard to the Einstein notation, yes the meaning is a little more obscure, but it is a compact notation, and it carries an automatic error check as to whether an equation has physical meaning: Both sides of an equation must have matching indices, and any quantity which has all indices in pairs is a quantity which is physically real, and does not depend on the coordinate system. Many theorems which are laborious to prove without the index notation can be quickly proved using the index notation and its rules. I wrote the indexed version of the acoustical operator, and you can see how neat it is. PAR 18:41, 6 May 2006 (UTC)
