The range of problems with known solutions involving large displacement effects that may be used to test the large displacement options in PLAXIS is very limited. The large displacement elastic bending of a cantilever beam, however, is one problem which is well suited as a large displacement benchmark problem since a known analytical solution exists, see Mattiasson (1981).

Geometry non-linearity is of major importance in problems involving slender structural members like beams, plates and shells. For special problems of extreme large deformation an Updated mesh analysis is needed. For this reason, PLAXIS involves a special module that was programmed using the Updated Lagrangian formulation as described by McMeeking & Rice (1975).

Used version:

• PLAXIS 2D: 2018.00 | 2016.01 | 2015.02