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Table 7 BTD models for 0/90/0/90, \(\hbox {R/a} = 5, \hbox {a/h }= 100\)

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\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\vartriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)
13\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\vartriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\vartriangle \)
12\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\vartriangle \)\(\vartriangle \)\(\blacktriangle \)\(\vartriangle \)
11\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\vartriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\vartriangle \)\(\blacktriangle \)\(\vartriangle \)\(\vartriangle \)
10\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\vartriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)
9\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\vartriangle \)\(\vartriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)
8\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\vartriangle \)\(\vartriangle \)\(\blacktriangle \)\(\vartriangle \)\(\blacktriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)
7\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\vartriangle \)\(\vartriangle \)\(\blacktriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)
6\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)\(\blacktriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)
5\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\blacktriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)\(\vartriangle \)
 \(\hbox {RF}_0 = 1.00\)\(\hbox {RF}_1 = 0.94\)\(\hbox {RF}_2 = 0.61\)\(\hbox {RF}_3 = 0.48\)\(\hbox {RF}_4 = 0.30\)