CFD Online Discussion Forums

CFD Online Discussion Forums (http://www.cfd-online.com/Forums/)
-   OpenFOAM Programming & Development (http://www.cfd-online.com/Forums/openfoam-programming-development/)
-   -   4th Rank Tensor & Kronecker delta representation (http://www.cfd-online.com/Forums/openfoam-programming-development/90777-4th-rank-tensor-kronecker-delta-representation.html)

Hisham July 20, 2011 09:40

4th Rank Tensor & Kronecker delta representation
 
Dear "oh dear"

How can I define a 4th rank tensor in OF?

I need to write the incremental stress-strain relationship for, say, an elastic material as (tensorial notation):

Sigma = E: Epsilon

; E(ijkl) = (B-2G/3) dij dkl + G (dik djl + dil djk)

E --- isotropic elastic coefficient 4th rank tensor
B,G ---- scalars
d ----- Kronecker delta(s) ??????? (how to implement them dij/dkl/etc.)

Lastly, how to write this equation???

Best regards
Hisham


All times are GMT -4. The time now is 15:44.