Ask Your Question

Matrix/Tensor derivative for Stress Tensor

asked 2011-05-18 10:20:46 -0500

packoman gravatar image

updated 2011-05-18 20:47:46 -0500

I need to do define/calculate the following stress tensor in an elegant way:

$T_{i,j} := -p \delta_{i,j} + \eta (\partial_i v_j + \partial_j v_i)$

where i,j can be x,y,z and

$\partial_i v_j := \frac{\partial v_j}{\partial i}$

I've found the sage-function kronecker_delta for the first term, but I am having problems with the two partial derivatives.

Thanks in advance!

edit retag flag offensive close merge delete


Can you post what have you tried, or what are exactly your problems? The `diff` function can compute partial derivatives: just pass the variable with respect to you are differentiating. Does this help you in any way?

Juanlu001 gravatar imageJuanlu001 ( 2011-05-20 23:19:13 -0500 )edit

1 answer

Sort by ยป oldest newest most voted

answered 2015-05-23 17:37:51 -0500

roberto gravatar image

Have you tried SageManifolds?

I do tensor calculus with it and I think it's good. Then as Juanlu001 already told you try to use diff and post your code.

edit flag offensive delete link more

Your Answer

Please start posting anonymously - your entry will be published after you log in or create a new account.

Add Answer

Question Tools


Asked: 2011-05-18 10:20:46 -0500

Seen: 688 times

Last updated: May 23 '15