10. Results of the D modeling#

10.1. Tested values#

Node

Size

Reference

\(B\)

\(u\)

2.0833 10—3

\(v\)

\(w\)

— 2.0833 10—3

\({\sigma }_{\mathit{zz}}\)

—1.

\(E\)

\(u\)

0.25

\(v\)

\(w\)

0.25

\({\sigma }_{\mathit{zz}}\)

\(F\)

\(u\)

0.250521

\(v\)

—0.04166

\(w\)

0.0249479

\({\sigma }_{\mathit{zz}}\)

—0.5

\(G\)

\(u\)

0.252083

\(v\)

—0.083333

\(w\)

0.247917

\({\sigma }_{\mathit{zz}}\)

—1.

\(C\)

\(u\)

\(v\)

\(w\)

\({\sigma }_{\mathit{zz}}\)

\(D\)

\(u\)

1.00208

\(v\)

—0.16666

\(w\)

0.99791

\({\sigma }_{\mathit{zz}}\)

—1.

10.2. notes#

To obtain an accuracy of the order of 1% on the stresses, it is necessary to model the structure very finely (8 elements radially and 240 axially).