OS-V: 1210 Contact with Friction

A deformable block is slid over a fixed rigid plate using enforced velocities and the problem is solved using an explicit dynamic analysis in OptiStruct. The results from OptiStruct are compared with an equivalent model in Radioss.

Benchmark Model

The finite element model consists of a deformable block on which enforced velocities are applied causing it to slide over a rigid fixed block.

Both blocks are meshed with first-order CHEXA elements and frictional contact is defined between the blocks with a friction coefficient = 0.05. The bottom block is constrained in all directions. One side of the top block is constrained along Y direction, while the opposite side is subjected to an enforced velocity and constrained along the X, Y, and Z rotational degrees of freedom. The upper side of the top block is subjected to an enforced velocity and is constrained along the X, Y, and Z rotational degrees of freedom.

The Y and Z directional velocities are applied in the form of a sinusoidal variation as a function of time ( $t$ ) given by:(1)
$V=\frac{{V}_{m}}{2}\left[1+\mathrm{sin}\left(\frac{2\pi }{T}t+\frac{3\pi }{2}\right)\right]mm/s$
Where, ${V}_{m}$ and $T$ for Y and Z velocities are:
Direction ${V}_{m}$ $T$
Y 565 mm/s 0.009 s
Z -102 mm/s 0.001 s
The material properties are
Property
Value
Elastic modulus
193000 N/mm2
Poisson’s ratio
0.3
Density
7.75 E-09 tonn/mm3

Results

The Y displacement results are compared between OptiStruct and Radioss, at a node on the side, where Y-velocity is applied and they seem to be in good agreement (図 3).

Model Files

The model file used in this problem includes:

contact_with_friction.fem