- #1
ThurmanMurman
- 12
- 0
Howdy,
I am trying to formulate a proof to show that the shape function
[N(x,y)] = [Ni(x,y) Nj(x,y) Nk(x,y)]
and the the basis functions
Ni(x,y) = (1/2A)(ai + bix + ciz)
Nj(x,y) = (1/2A)(aj + bjx + cjy)
Nk(x,y) = (1/2A)(ak + bkx + cky)
are valid for triangular, 2 dimensional elements. "A" is the element area, and I would like to solve for "A", "a", "b", and "c" in terms of x and y.
Can anyone help? Is there a better sub-forum in which to place this thread?
I am trying to formulate a proof to show that the shape function
[N(x,y)] = [Ni(x,y) Nj(x,y) Nk(x,y)]
and the the basis functions
Ni(x,y) = (1/2A)(ai + bix + ciz)
Nj(x,y) = (1/2A)(aj + bjx + cjy)
Nk(x,y) = (1/2A)(ak + bkx + cky)
are valid for triangular, 2 dimensional elements. "A" is the element area, and I would like to solve for "A", "a", "b", and "c" in terms of x and y.
Can anyone help? Is there a better sub-forum in which to place this thread?