Greetings,
I am struggling to understand how can I explain the dyadic product between two Cartesian vectors (which should be dyadic product of a form and a vector in general).
For instance, how can I geometrically explain that the Schmid orientation tensor which is a dyadic product of the unit normal and unit tangent of a slip plane represent the slip system geometry in a crystal?
Thanks,
Ali
geometrical representation of dyadic product of two vectors
Hello,
as you know the dyadic product of two vectors is a tensor , sth like a square matrix. For example which is the result of ji-ij , is a 90° rotation in 2D . So here you have a tensor of second order , which represents a transformation and in plain text: a rotation of 90° if dot-operated on a vector in 2D.
In the same way you can try to find what your tensor of interest does as a transformation.
regards
Roozbeh