Table 15 BTD models for 0/90/0/90, \(\hbox {R/a} = 5,\hbox {a/h} = 5\), clamped-free
From: Best theory diagrams for multilayered structures via shell finite elements
DOF | \({\varvec{u}}_{x1}\) | \({\varvec{u}}_{y1}\) | \({\varvec{u}}_{z1}\) | \({\varvec{u}}_{x2}\) | \({\varvec{u}}_{y2}\) | \({\varvec{u}}_{z2}\) | \({\varvec{u}}_{x3}\) | \({\varvec{u}}_{y3}\) | \({\varvec{u}}_{z3}\) | \({\varvec{u}}_{x4}\) | \({\varvec{u}}_{y4}\) | \({\varvec{u}}_{z4}\) | \({\varvec{u}}_{x5}\) | \({\varvec{u}}_{y5}\) | \({\varvec{u}}_{z5}\) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
15 | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) |
14 | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\vartriangle \) |
13 | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\vartriangle \) |
12 | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\vartriangle \) |
11 | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\vartriangle \) |
10 | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\vartriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\vartriangle \) |
9 | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\vartriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\vartriangle \) |
8 | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\vartriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\vartriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\vartriangle \) |
7 | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\vartriangle \) | \(\vartriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\vartriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\vartriangle \) |
6 | \(\blacktriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\vartriangle \) | \(\vartriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\vartriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\vartriangle \) | \(\vartriangle \) | \(\vartriangle \) |
5 | \(\vartriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\vartriangle \) | \(\vartriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\vartriangle \) | \(\blacktriangle \) | \(\blacktriangle \) | \(\vartriangle \) | \(\vartriangle \) | \(\vartriangle \) | \(\vartriangle \) |
\(\hbox {RF}_0 = 0.97\) | \(\hbox {RF}_1 = 0.61\) | \(\hbox {RF}_2 = 0.58\) | \(\hbox {RF}_3 = 0.76\) | \(\hbox {RF}_4 = 0.42\) | |||||||||||