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Twenty-node brick element (C3D20 and F3D20)

The C3D20 element is a general purpose quadratic brick element (3x3x3 integration points). The shape functions can be found in [36]. The node numbering follows the convention of Figure 56 and the integration scheme is given in Figure 57.

Figure 56: 20-node brick element
\begin{figure}\epsfig{file=C3D20.eps,width=10cm}\end{figure}

Figure 57: 3x3x3 integration point scheme in hexahedral elements
\begin{figure}\epsfig{file=Int27.eps,width=8cm}\end{figure}

This is an excellent element for linear elastic calculations. Due to the location of the integration points, stress concentrations at the surface of a structure are well captured. However, for nonlinear calculations the elements exhibits the same disadvantages as the C3D8 element, albeit to a much lesser extent:

The F3D20 element is the corresponding fluid element.


next up previous contents
Next: C3D20R and F3D20R Up: Element Types Previous: Incompatible mode eight-node brick   Contents
guido dhondt 2014-03-02