
Re: Tensor Definition
Posted:
Jul 8, 2013 12:54 PM


On 07/08/2013 11:03 AM, Sam Sung wrote: > J.B. Wood write: > >> Hello, all. Just when I think I've got a good handle on tensors (after >> painstakingly reading and working problems in Louis Brand's "Vector and >> Tensor Analysis"), I come across the following in MerriamWebster's >> Collegiate Dictionary: >> >> "A generalized vector with more than three components each of which is a >> function of an arbitrary point in space of an appropriate number of >> dimensions" >> >> That definition seems to exclude wellknown dyadics (stress tensor, >> permeability tensor, etc) having 9components that are constants (for >> the material involved.) That aside, I'm still having a problem grasping >> the foregoing definition. Thanks for your time and any comment. Sincerely, > > You might read this: http://en.wikipedia.org/wiki/Tensor > Hello, and thanks for responding. I read the Wiki entry prior to my OP. I don't see the correlation to the Webster definition. Given the usual 3D orthonormal coordinate systems commonly used in physics and engineering (rectangular, cylindrical, spherical) I can view unit dyads (having "two directions" just as easily as unit vectors having but one direction (x, y, or z) and a dyadic having a total of 9 components vice 3. Still, that dictionary definition confounds me. Sincerely,
 J. B. Wood email: arl_123234@hotmail.com

