v3.02.321 SSLP321 - Propagation of an X- FEM crack in a 3-point flexure plate

Summary

The purpose of this test is to validate the crack propagation path with \(\text{X-FEM}\) in \(\mathrm{2D}\), in the context of linear elasticity.

This test involves a rectangular plate with an through crack, and subjected to 3-point bending as in the article by Mariani and Perego [1].

Five methods for managing the propagation of a \(\text{X-FEM}\) crack are available. Each of them is the subject of modeling.

• modeling \(A\): mesh method

• modeling \(B\): simplex method

• modeling \(C\): upwind method

• modeling \(D\): geometric method

Comparisons are made with the values given by the mesh method.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
• 2. Benchmark solution
  • 2.1. Calculation method
  • 2.2. Reference quantities and results
  • 2.3. Bibliographical references
• 3. Modeling A
  • 3.1. Characteristics of modeling
  • 3.2. Characteristics of the mesh
  • 3.3. Tested sizes and results
  • 3.4. Additional results
• 4. B modeling
  • 4.1. Characteristics of modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested sizes and results
• 5. C modeling
  • 5.1. Characteristics of the mesh
  • 5.2. Characteristics of the mesh
  • 5.3. Tested sizes and results
• 6. D modeling
  • 6.1. Characteristics of modeling
  • 6.2. Characteristics of the mesh
  • 6.3. Tested sizes and results
• 7. Summaries of results