Shell undergoing finite rotations

Geometrically nonlinear analysis of a cantilever rolling up under the action of a point moment, performed with shell finite elements.

Here we investigate the roll-up problem previously considered for frames, now with corotational shells.

The loading is applied in 40 increments.

In the Python version, we’ll create a veux.Artist  before starting the analysis in order to draw snapshots of the deformed shape throughout the deformation.

# Render the reference configuration
artist = veux.create_artist(model, vertical=3)
artist.draw_surfaces()
artist.draw_outlines()

Now we proceed to analyze  :

u = []
load = []
for i in range(nsteps):
    if ops.analyze(1) != 0:
        break
    ctime += dt
    if ctime > dt_record:
        ctime = 0.0
        artist.draw_outlines(state=ops.nodeDisp)

    load[i+1] = ops.getTime()
    u[i+1]   =  ops.nodeDisp(tip, 3)

After running the Python variant of the analysis, the following plot is generated:

References  

• https://classes.engineering.wustl.edu/2009/spring/mase5513/abaqus/docs/v6.6/books/bmk/default.htm?startat=ch02s01ach122.html