E
E. Rosten
Guest
Repeating Rifle wrote:
happens that the matrix it operates on is a 2D stress tensor. But you
can still diagonalize it (ie represent shear as tension only).
-Ed
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(You can't go wrong with psycho-rats.) (er258)(@)(eng.cam)(.ac.uk)
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More like symmetric eigen decomposition done graphically. It justin article 4157DE09.1070909@my.sig, E. Rosten at look@my.sig wrote on
9/27/04 2:31 AM:
Shear stress can always be seperated out: you can represent any
combination of shear and tensile stress as pure tensile stress (google
for Mohr's Circle).
The Mohr's Circle operation is just a graphical way of diagonalizing the
stress matrix (well, it only works in 2D where the tensor is of rank 2).
Mohr's circle is a tensor on the cheap.
happens that the matrix it operates on is a 2D stress tensor. But you
can still diagonalize it (ie represent shear as tension only).
Your hopes may be elevated, sadly. Though I'm not sure.In a sense, it was developed for
engineers who were not formally trained in tensors or their matrix
representations. The days when that was necessary, I hope, are over.
They also are for rank 2 tensors aren't they?Another crutch for tensors was developed under the name of *dyadics*.
-Ed
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(You can't go wrong with psycho-rats.) (er258)(@)(eng.cam)(.ac.uk)
/d{def}def/f{/Times findfont s scalefont setfont}d/s{10}d/r{roll}d f 5/m
{moveto}d -1 r 230 350 m 0 1 179{1 index show 88 rotate 4 mul 0 rmoveto}
for /s 15 d f pop 240 420 m 0 1 3 { 4 2 1 r sub -1 r show } for showpage