contact in 3d space
The simplest case in 3D space would be node to triangular facet contact.
In this example, we show how to model 3D contact problems by using both penalty function method and Lagrangian multiplier method.
The model scripts can be downloaded.
The Model
The contact itself does not need to be defined on any discrete surfaces of elements. Instead, the facet is always formulated by the given three nodes. Thus, contacts can be defined on, for examples, plate/shell surfaces, cube/tetrahedron surfaces, or even three nodes only.
Here we define a square flat shell with one edge clamped.
node 1 0 0 0
node 2 5 0 0
node 3 10 0 0
node 4 0 5 0
node 5 5 5 0
node 6 10 5 0
element dkts3 1 1 2 5 1 1
element dkts3 2 5 4 1 1 1
element dkts3 3 2 3 6 1 1
element dkts3 4 6 5 2 1 1
material Elastic2D 1 1000 .2
generate nodegroup 1 1 3 4
groupmultiplierbc 1 encastre 1A 3D beam cantilever beam is defined on top of the shell.
Once the deformed free end reaches the shell, contact occurs.
Define Contact
The facet is defined by nodes 3, 6 and 10. The slave node is 2.
Results
After configuring analysis, it can be performed.
The animation can be shown as follows.
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