Jacobian
Jacobian
(OP)
Dear Experts,
I have a bit of confusion regarding jacobian interpretation in finite element analysis.What does Jacobian signifies? Is this just a transformation matrix between two sets of co-ordinate systems or is it a measure of the deforamtion (streching/shearing) of a mesh element?
Any particular citation for reference?
Regards
Kapil Sharma
I have a bit of confusion regarding jacobian interpretation in finite element analysis.What does Jacobian signifies? Is this just a transformation matrix between two sets of co-ordinate systems or is it a measure of the deforamtion (streching/shearing) of a mesh element?
Any particular citation for reference?
Regards
Kapil Sharma





RE: Jacobian
Now if you'll excuse me, I'm going to put on my flame suit from all the real analysts who think Solidworks Simulation is just a toy ;)
Certified SolidWorks Professional
RE: Jacobian
Thanks for your reply.It was a good practical explaination of what i asked for.
My question was bent more on the academic side of FEA..Jacobian matrix is used for transformation between global and natural co-ordinate susytems (isoparametric elements) so does that mean that the determinant of this matrix and the jacobian (as stated in the blog article you refered) are same????
Regards
Kapil
RE: Jacobian
This would indicate yes.
RE: Jacobian
You don't see it very much any more for typical automeshers, but...if you have weird geometries, with multiple hollows and reentrant curves...you'd be surprised at the error messages you can see.
RE: Jacobian
Regards
Kapil
RE: Jacobian
No... the determinant of an element's Jacobian Matrix is not the so called "Jacobian" found in the FE sofwares. Although wikipedia says this, there is a little difference when we're talking about the Jacobian in the Finite Element Method.
Please, take a look at the post Meaning of Jacobian in FEA for further information.
Regards,