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reelep-ud-040321a.dvi
defined as
B3 0 = {1, 0, 1, 0, 1, 0, 1, 0}/(4 R̄), B3 ξ = {−1, 0, 1, 0, 1, 0,−1, 0}/(4 R̄)
B3 η = {−1, 0,−1, 0, 1, 0, 1, 0}/(4 R̄), B3 ξη = {1, 0,−1, 0, 1, 0,−1, 0}/(4 R̄) (3.6)
Although R certainly varies in [...] equal to the constant
R̄ = 1
4 (X1 + X2 + X3 + X4), (3.7)
where XI (I = 1, ..., 4) are the X-coordinates of the four nodes.
122
1. International Colloquium on High-Speed Forming
4 Constitutive equations
One [...] an additional quadratic contribution. We arrive with NI = (1 + ξ ξI) (1 + η ηI)/4 at
Hh 33 =
uh 1
R̄ =
4∑
I=1
NI Ue 2 I−1/(4 R̄). (3.5)
The latter equation can be rewritten as Hh 33 = (B3 0 + B3 ξ ξ + B3 …