D3PLOT 22.1
Reference Frame

Reference Frame

Directional data components may be plotted in model Global, element Local , (global) Cylindrical or User-defined coordinate systems. The default is Global .

If the model has composite plys there is also a Ply Local option. This rotates the element local so the X' axis is given by the ply beta angle. The Ply Local frame of reference is only applicable if the Surface is Selected Plys (see Sections SURFACE with composite plys and Ply local X axis ). The option Show X axis on plys sketches the ply local X axis on the Selected Plys.

Directional components are basic stresses and strains from their respective tensors, i.e. X_DIRECT_STRESS , SX_DIRECT_STRAIN etc. See Section 12 for more details.

In this example a Cylindrical system has been used, and the user has defined the origin and vector of the local Z' axis.


The element local system is computed from its topology. A four noded element is shown here, for a 3 noded element Z' is normal to the (flat) plane N1N2N3.

Element local axes are calculated as follows:

X' ] (approx)
From vector N1N2

Z' ] (outward normal)
From cross product N1N3 N2N4

Y' ]
From cross product [ Z' ] x [ X' ]

X' ] (warping correction)
From cross product [ Y' ] x [ Z' ]


A cylindrical system is only suitable for elements that do genuinely lie in the plane of a cylindrical wall. The Y' vector is perpendicular to the Z' axis through the element center.

Let [ ] be the vector from the cylinder origin to the element centre, then axes are calculated as follows:

X' ] (hoop)
from cross product [ ] x [ Long axis ]
Y' ] (radial)
from cross product [ Long axis ] x [ X' ]
Z' ]
is the same as the [ Long axis ]

The data to which coordinate system transformations are applied

  • Element tensor derived data is transformed to Element Local or Cylindrical.

    "Tensor derived" means Stress and Strain tensors, and any User-defined tensor components.


  • Nodal vector derived data is transformed to Cylindrical only. ("Local" has no meaning for nodes)

    "Vector derived" means Displacement, Velocity and Accelerations vectors, and any User-defined vector components.

    One exception is that vector plots of nodal vector data are always presented in the global system in order to show the "true" vector directions.