This video introduces the polar decomposition as well as the right and left Cauchy-Green deformation tensors. The concept of the objective (frame-independent) and non-objective (frame dependent) tensors from chapter 5-part C is also explained.
Link to notes:
https://github.com/amirbaharvand66/continuum_mechanics/blob/master/notes/module_26_%20polar_decomposition.pdf
Link to a better dmonstration of the relative velocity of two airplanes:
https://youtube.com/shorts/kMrffUjZhgc?feature=share