Circular tube#

Problem description#

This example has a cross section of a simple circular shape with radius \(r=10\) m. This cross section geometry can be defined easily by a center and a radius. Material properties are given in Table 30. The layup is defined using the stacking sequence code \([\pm 45_2/0_2/90]_{2s}\). The result is given in Table 32. Complete input files can be found in examples\ex_tube\, including tube.xml and materials.xml.

../../../_images/examplecircle1.png

Figure 49 Base points, Base lines and Segments of the tube cross section.#

../../../_images/examplecircle.png

Figure 50 Meshed cross section viewed in Gmsh.#

Table 30 Material properties#

Name

Type

Density

\(E_{1}\)

\(E_{2}\)

\(E_{3}\)

\(G_{12}\)

\(G_{13}\)

\(G_{23}\)

\(\nu_{12}\)

\(\nu_{13}\)

\(\nu_{23}\)

\(10^3\ \mathrm{kg/m^3}\)

\(\mathrm{GPa}\)

\(\mathrm{GPa}\)

\(\mathrm{GPa}\)

\(\mathrm{GPa}\)

\(\mathrm{GPa}\)

\(\mathrm{GPa}\)

iso5_4

orthotropic

1.664

10.3

10.3

10.3

8.0

8.0

8.0

0.3

0.3

0.3

Table 31 Layups#

Name

Material

Stacking sequence

layup1

iso5_4

\([\pm 45_2/0_2/90]_{s}\)

Result#

Table 32 Results#

\(\phantom{-}1.108\times 10^{12}\)

\(-2.677\times 10^{-3}\)

\(-1.050\times 10^{-4}\)

\(-5.795\times 10^{-5}\)

\(-2.099\times 10^5\)

\(-1.626\times 10^5\)

\(-2.677\times 10^{-3}\)

\(\phantom{-}2.352\times 10^{11}\)

\(-1.583\times 10^3\)

\(\phantom{-}4.781\times 10^4\)

\(\phantom{-}3.200\times 10^{-3}\)

\(\phantom{-}2.063\times 10^{-2}\)

\(-1.050\times 10^{-4}\)

\(-1.583\times 10^3\)

\(\phantom{-}2.352\times 10^{11}\)

\(\phantom{-}4.086\times 10^4\)

\(\phantom{-}6.546\times 10^{-4}\)

\(\phantom{-}1.063\times 10^{-3}\)

\(-5.795\times 10^{-5}\)

\(\phantom{-}4.781\times 10^4\)

\(\phantom{-}4.086\times 10^4\)

\(\phantom{-}4.043\times 10^{13}\)

\(\phantom{-}2.717\times 10^{-7}\)

\(\phantom{-}3.229\times 10^{-8}\)

\(-2.099\times 10^5\)

\(\phantom{-}3.200\times 10^{-3}\)

\(\phantom{-}6.546\times 10^{-4}\)

\(\phantom{-}2.717\times 10^{-7}\)

\(\phantom{-}4.819\times 10^{13}\)

\(-1.399\times 10^6\)

\(-1.626\times 10^5\)

\(\phantom{-}2.063\times 10^{-2}\)

\(\phantom{-}1.063\times 10^{-3}\)

\(\phantom{-}3.229\times 10^{-8}\)

\(-1.399\times 10^6\)

\(\phantom{-}4.819\times 10^{13}\)