v6.04.127 SSNV127 - Cylinder in a bore with contact and friction

Summary:

This problem corresponds to a semi-static analysis of a mechanical problem with contact and friction. A cylinder is compressed into a cylindrical bore with a slightly larger diameter by a concentrated force applied to its axis.

This test, called the « Klang problem », is quite widely used in the literature to validate frictional contact models and was in particular used by P. Alart and A. Curnier [bib1] to validate their finite contact and friction elements.

Three 2D models are proposed (D and H with linear elements and F with quadratic elements):

The 3D modeling tests the algorithm of the « PENALISATION » method with master-slave pairing, the penalty relates to contact and friction.

The F and H models test the « CONTINUE » method algorithm with quadratic (SEG3) and linear (SEG2) contact elements, respectively.

The results are compared to an analytical solution given by Klang [bib2].

Instead of reproducing this relatively complicated analytical solution we will use the pressure values obtained from it [bib1].

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
• 2. Benchmark solution
  • 2.1. Calculation method used for the reference solution
  • 2.2. Benchmark results
  • 2.3. Bibliographical references
• 3. D modeling
  • 3.1. Characteristics of modeling
  • 3.2. Tested values: SIGM_ELNO
• 4. F modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested values: SIGM_ELNO
• 5. H modeling
  • 5.1. Characteristics of modeling
  • 5.2. Characteristics of the mesh
  • 5.3. Tested values: SIGM_ELNO
• 6. Summary of results