Description Usage Arguments Details Value Author(s) References See Also Examples
Polar Decomposition for Strain
1 | PolarDecomp(A)
|
A |
Strain Matrix |
Polar decomposition uses the svd to extract 2 matrices that represent the stretch and rotation of a strain: A = UP. U is orthogonal rotation matrix and P is the stretch tensor. These are extracted from the singular value decomposition.
P |
matrix, stretch tensor |
U |
matrix, orthogonal rotation matrix |
Jonathan M. Lees<jonathan.lees@unc.edu>
<http://en.wikipedia.org/wiki/Finite_strain_theory>
svd
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | A = matrix(runif(4, -1, 1), ncol=2)
PD = PolarDecomp(A)
E = svd(A)
### W S V
E$u
###t(E$v) %*% diag(E$d)%*% (E$u)
P = E$v
U = E$u
U
|
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