Table 2: Shape functions N and their derivatives with respect to r, s and t of a tetrahedron T10 element

Node Number

Shape Function N

0

r(2r-1)

      

1

s(2s-1)

      

2

t(2t-1)

      

3

u(2u-1)

      

4

4rs

      

5

4st

      

6

4rt

      

7

4tu

      

8

4su

      

9

4ru

      

u = 1-r-s-t

 

 

Table 3: Shape functions N and their derivatives with respect to r, s and t of a tetrahedron TP2 element

Node Number

Shape Function N

0

r

      

1

s

      

2

t

      

3

u

      

4

4rs

      

5

4st

      

6

4rt

      

7

4tu

      

8

4su

      

9

4ru

      

u = 1-r-s-t

 

 

Statistical Mechanics: Entropy, Order Parameters, and Complexity, now available at Oxford University Press (USA, Europe).