v3.06.310 SSLA310 — Radial crack in a bimaterial subjected to internal pressure

Summary:

This test case treats an axisymmetric problem, in a finite domain, with a crack located at the interface between the two materials. The materials are elastic, linear, isotropic. The model is subjected to a loading under pressure on the lips and to a point loading at the center of the lips of the crack.

The objective of this test case is to validate the integration of G for bi-materials for different Young modulus ratios, and different Poisson coefficient ratios.

The reference solution is calculated on a finite element basis with ABAQUS.

The calculation of \(G\) is carried out on various crowns surrounding the crack bottom.

The first ring whose lower radius is zero gives poor results compared to the other rings whose results are excellent since they lead to variations of less than :math:`7`%.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
• 2. Benchmark solution
  • 2.1. reference result
• 3. Modeling A
  • 3.1. Characteristics of modeling A
  • 3.2. Characteristics of the mesh
  • 3.3. Tested sizes and results
• 4. Summary of results