Channel

Cross-ply channel example with a generated Gmsh preview.

Overview

Figure 15 Cross section of the pipe [CHEN2010].

This example has a cross-section of a highly heterogeneous channel. This cross-section geometry can be defined as shown in Figure 15 [CHEN2010]. The isotropic material properties are given in Material properties. The layup is defined having a single layer with the thickness 0.001524 m.

Table 6 Material properties

Name	Type	Density	\(E\)	\(\nu\)
		\(\mathrm{kg/m^3}\)	\(\mathrm{GPa}\)
mtr1	isotropic	1068.69	206.843	0.49

Table 7 Layups

Name	Layer	Material	Ply thickness	Orientation	Number of plies
			\(\mathrm{m}\)	\(\circ\)
layup1	1	mtr1	0.001524	0	1

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Input

• channel.xml

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Run the example

prevabs -i channel.xml --hm

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Output

Figure 16 Cross section viewed in gmsh.

• channel.png

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Analysis Result

Table 8 Results

\(\phantom{-}1.906\times 10^7\)	\(0.0\)	\(\phantom{-}0.0\)	\(\phantom{-}0.0\)	\(-4.779\times 10^4\)	\(-1.325\times 10^5\)
\(0.0\)	\(\phantom{-}2.804\times 10^6\)	\(\phantom{-}2.417\times 10^5\)	\(\phantom{-}2.128\times 10^4\)	\(\phantom{-}0.0\)	\(\phantom{-}0.0\)
\(0.0\)	\(\phantom{-}2.417\times 10^5\)	\(\phantom{-}2.146\times 10^6\)	\(-7.663\times 10^3\)	\(\phantom{-}0.0\)	\(\phantom{-}0.0\)
\(0.0\)	\(\phantom{-}2.128\times 10^4\)	\(-7.663\times 10^3\)	\(\phantom{-}2.091\times 10^2\)	\(\phantom{-}0.0\)	\(\phantom{-}0.0\)
\(-4.779\times 10^4\)	\(0.0\)	\(\phantom{-}0.0\)	\(\phantom{-}0.0\)	\(\phantom{-}2.011\times 10^3\)	\(\phantom{-}9.104\times 10^2\)
\(-1.325\times 10^5\)	\(0.0\)	\(\phantom{-}0.0\)	\(\phantom{-}0.0\)	\(\phantom{-}9.104\times 10^2\)	\(\phantom{-}1.946\times 10^3\)

Table 9 Results from reference [CHEN2010]

\(\phantom{-}1.903\times 10^7\)	\(0.0\)	\(\phantom{-}0.0\)	\(\phantom{-}0.0\)	\(-4.778\times 10^4\)	\(-1.325\times 10^5\)
\(0.0\)	\(\phantom{-}2.791\times 10^6\)	\(\phantom{-}2.364\times 10^5\)	\(\phantom{-}2.122\times 10^4\)	\(\phantom{-}0.0\)	\(\phantom{-}0.0\)
\(0.0\)	\(\phantom{-}2.364\times 10^5\)	\(\phantom{-}2.137\times 10^6\)	\(-7.679\times 10^3\)	\(\phantom{-}0.0\)	\(\phantom{-}0.0\)
\(0.0\)	\(\phantom{-}2.122\times 10^4\)	\(-7.679\times 10^3\)	\(\phantom{-}2.086\times 10^2\)	\(\phantom{-}0.0\)	\(\phantom{-}0.0\)
\(-4.778\times 10^4\)	\(0.0\)	\(\phantom{-}0.0\)	\(\phantom{-}0.0\)	\(\phantom{-}2.010\times 10^3\)	\(\phantom{-}9.102\times 10^2\)
\(-1.325\times 10^5\)	\(0.0\)	\(\phantom{-}0.0\)	\(\phantom{-}0.0\)	\(\phantom{-}9.102\times 10^2\)	\(\phantom{-}1.944\times 10^3\)