- #1
facenian
- 436
- 25
hello, I would like to hear some comments about this situation. There seems to be two incompatible definitions concerning "Tensor Product" and "Dyadic product" of two vectors. The mathematical definition states tha [itex]a\otimes b[/itex] is a bilinear funtion defined on [itex]V^*\times V^*[/itex] with values in R while the dyadic product and also sometimes called tensor product written as ab and sometimes [itex]a\otimes b[/itex] is defined as a linear operator defined on V with values in V
I reached this conclution after looking up for the mathematical definition in "Tensor Analysis on Manifolds" by Bishop and for the defintion used in physics in "Mechanics" by Symon, "Continuum Mechanics" by Chadwick,"Continuum Mechanics" by Spencer
I reached this conclution after looking up for the mathematical definition in "Tensor Analysis on Manifolds" by Bishop and for the defintion used in physics in "Mechanics" by Symon, "Continuum Mechanics" by Chadwick,"Continuum Mechanics" by Spencer