Here is another file. It demonstrates the general vector bases for curvilinear coordinates. You can see a graphical depiction of the reciprocity rules in http://1drv.ms/1unXrZp
Follow these steps to use the contents of this file:
1. After downloading, open it in Mathematica as a notebook.
2. Press “Enable Dynamics” at the top right corner.
3. Use the slider to move the small disk either horizontally or vertically. The value of alpha chosen on the slider increases the deformation of the convected coordinate systems.
Practice with these and other examples, alter the functional forms to get your own peculiar transformations and it will be all fine!
Enjoy!
OA Fakinlede

sir,
on the kinematics slide 46,where we have the statement below;
“Now every positive definite tensor T has a square root U
such that, U^2 ≡ UtransposeU = UUtranspose = T.

The expression above shows that it is square not square root sir.

Thank you sir.

Here is another file. It demonstrates the general vector bases for curvilinear coordinates. You can see a graphical depiction of the reciprocity rules in http://1drv.ms/1unXrZp

Follow these steps to use the contents of this file:

1. After downloading, open it in Mathematica as a notebook.

2. Press “Enable Dynamics” at the top right corner.

3. Use the slider to move the small disk either horizontally or vertically. The value of alpha chosen on the slider increases the deformation of the convected coordinate systems.

Practice with these and other examples, alter the functional forms to get your own peculiar transformations and it will be all fine!

Enjoy!

OA Fakinlede

Thank you sir

sir,

on the kinematics slide 46,where we have the statement below;

“Now every positive definite tensor T has a square root U

such that, U^2 ≡ UtransposeU = UUtranspose = T.

The expression above shows that it is square not square root sir.

Thanks for the mathematica file Sir