Bending Of A Beam
This example shows bending of a cantilever beam made of elasto-plastic material. Combined SHELL and SOLID elements’ use made it possible to easy and effectively use the processing power of the finite-element LS-DYNA environment upon solving the problems of plastic deformation and elastic aftereffect. Under the influence of the moving with constant speed instrument, the beam undergoes plastic deformation mainly in the bending area.
Applying load to the moving "instrument" has been performed in such a way, that after the "instrument" reached the lowermost position, the restrictions were removed. Under the influence of the residual elastic forces the deformated beam "shot" the instrument out striving to return into its initial position.
The beam model consists of SHELL163 elements with formulation S/R co-rotational Hughes-Liu (ELFORM=7) and material model No3 *MAT_PLASTIC_KINEMATIC.
The grid is created by means of ordered grid construction from quadrilaterally shaped elements. The correspondence of the beam model thickness to its physical analog has been implemented by the means of Shell thickness option of the SECTION_SHELL control card. The models of the static "wall" and moving "instrument" were created from SOLID164 elements.
With the help of BOUNDARY_PRESCRIBED_MOTION_RIGID control card, containing information on “instrument’s” motion path and boundary conditions, load has been applied to the moving and static model parts. Contact interaction between the model elements was described by the contact algorithm FORMING_ONE_WAY_SURFACE_TO_SURFACE, which turned out to be comfortable with SHELL163 elements’ surface orientation being automatically determined by the means of program.
Wide capabilities of solving dynamic tasks as well as tasks, implying large-scale deformations were demonstrated on the example of this simple model.
Animation of the process may be seen here:
