Press fit

Author: Vicente Mataix Ferrándiz

Kratos version: Current head

Source files: Press fit

Case Specification

The problem consists of the numerical simulation of a press-fit process of a block in a channel according to [1]. The geometric and material parameters are shown in the figures. It is considered Neo-Hookean compressible hyperelastic material for both components. It is possible to evaluate the behavior of the contact element in a friction contact problem with large deformation and sliding. The symmetry of the problem is used and only half of the domain is simulated.

The process is modeled by applying a non-homogeneous boundary condition u = 1000 mm in the left face of the block. The height of the block is greater than the channel, imposing to the problem an initial penetration ∆initial = 1 mm and consequently an initial contact stress.

The first time step uses u = 0 and the program generates the normal stress necessary to the non-penetration condition, separating the bodies in contact. After this step, we employed a non-homogeneous boundary condition u = 1000 mm. It is considered plane strain state and updated Lagrangian formulation.

Additionally a 3D setup is also evaluated, extruding 250 mm, but this one cannot be compared with any reference.

Setup

Mesh

2D

3D

Results

Literature setup (2D):

Comparing the results with the reference (slightly higher than in the reference):

The frictional stress evolution is:

Custom setup (3D):

The reaction in the base support most wetern points is:

The frictional stress evolution is:

References

• [Fischer, Kathrin A.,Wriggers, Peter] Mortar based frictional contact formulation for higher order interpolations using the moving friction cone
• [A.P.C. Dias] High-order mortar-based element applied to nonlinear analysis of structural contact mechanics