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The C3D20 element is a general purpose quadratic brick element (3x3x3 integration points). The shape functions can be found in [39]. The node numbering follows the convention of Figure 50 and the integration scheme is given in Figure 51.
Figure 50:
20-node brick element
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Figure 51:
3x3x3 integration point scheme in hexahedral elements
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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:
- due to the full integration, the element will behave badly for isochoric material behavior, i.e. for high values of Poisson's coefficient or plastic behavior.
- the element tends to be too stiff in bending, e.g. for slender beams or thin plates under bending. [78].
Next: C3D20R
Up: Element Types
Previous: Incompatible mode eight-node brick
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guido dhondt
2016-03-08