Mapping solution variables from a 2D mesh to an extruded 3D mesh enables you to perform a multistage nonlinear analysis. For example, in a tire analysis, 2D axisymmetric inflation results are required for a subsequent 3D footprint analysis.
In effect, you can continue with a 3D analysis on the extruded body after mapping solution results from the 2D body.
The 2D-to-3D method is very efficient for a nonlinear analysis with multiple load steps, as only the last few load steps cause general 3D deformation. The prior load steps occur within the 2D model.