CFD Online Logo CFD Online URL
Home > Forums > OpenFOAM Programming & Development

4th Rank Tensor & Kronecker delta representation

Register Blogs Members List Search Today's Posts Mark Forums Read

LinkBack Thread Tools Display Modes
Old   July 20, 2011, 09:40
Default 4th Rank Tensor & Kronecker delta representation
Senior Member
Hisham's Avatar
Hisham El Safti
Join Date: Apr 2011
Location: Braunschweig, Germany
Posts: 248
Blog Entries: 10
Rep Power: 8
Hisham is on a distinguished road
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 is offline   Reply With Quote


4th rank tensor, elastic, kronecker, stress-strain

Thread Tools
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are On
Pingbacks are On
Refbacks are On

All times are GMT -4. The time now is 16:26.