4. B modeling#
4.1. Characteristics of modeling#
The symmetry of revolution of the problem allows axisymmetric modeling: The block is represented by the section of its half and the sphere is represented by its surface potentially in contact, they are meshed with axisymmetric 2D elements.
A node-mesh contact is defined between the two structures.
An imposed displacement load is applied to all the cells representing the sphere, rigidified by kinematic conditions.
Boundary condition:
|
the nodes of the frame located on axis \(Y\) (group of nodes \(«\mathrm{LB}»\)) are blocked in the direction \(X\) (DX = 0). |
All the nodes belonging to the sphere (group of nodes \(«\mathrm{MAT1}»\)) are blocked in the X direction (DX = 0). |
|
|
the nodes of \(«\mathrm{PLANX}»\) are blocked in the directions \(X\) and \(Y\) (DX = DY = 0). |
Rigid body movements are suppressed by imposing a rigid connection, following \(y\), between the node \(E\) belonging to the sphere and the node \(D\) belonging to the massif.
Loads:
An imposed displacement is applied to the part representing the sphere (node group \(«\mathrm{MAT1}»\)) in the direction \(Y\): Loading from 0 to \(–100.\mathrm{mm}\)
4.2. Characteristics of the mesh#
Number of knots: 458
Number of meshes and type: 419 QUAD4 and 171 SEG2.
4.3. Tested values#
Identification |
Movement \((\mathrm{mm})\) |
Reference |
Aster |
% difference |
Reaction \((N)\) |
|
—2.06771E+06 |
-2.0677082E+06 |
10 |
Reaction \((N)\) |
|
—4.04742E+06 |
-4.0474212E+06 |
10 |
Reaction \((N)\) |
|
—5.82779E+06 |
-5.8277879E+06 |
10 |
Reaction \((N)\) |
|
—7.66673E+06 |
-7.6667317E+06 |
10 |
Reaction \((N)\) |
|
—9.11942E+06 |
-9.1194226E+06 |
15 |
4.4. notes#
The results are almost identical to those of modeling A.
A reduced calculation time is noted by modeling only the contact surface of the rigidified sphere under kinematic conditions.