v6.03.303 SSNP303 - Element with plane stress and traction - Perfect plasticity

Summary:

This nonlinear quasistatic mechanics test \(\mathrm{2D}\) consists in loading three superimposed plate elements (element type MECPQU4). The 4 knots are common to the 3 elements. The elements have different properties (perfect plasticity) to obtain a suitable traction curve. This test is taken from guide NAFEMS.

The aim is to compare the various Newton-Raphson methods for solving the system of nonlinear equations (NEWTON: (MATRICE “ELASTIQUE”) and NEWTON: (MATRICE “TANGENTE”) with REAC_INCR and REAC_ITER). The convergence criterion chosen corresponds to \(\text{0.01\%}\) of the residual force (RESI_GLOB_RELA).

The modeling is carried out with plane elements of type MECPQU4.

• 1. Reference problem
  • 1.1. Geometry
  • 1.2. Material properties
  • 1.3. Boundary conditions and loads
• 2. Reference solution
  • 2.1. Calculation method used for the reference solution
  • 2.2. Benchmark results
  • 2.3. Uncertainty about the solution
  • 2.4. Bibliographical references
• 3. Modeling A
  • 3.1. Characteristics of modeling A
  • 3.2. Characteristics of the mesh
  • 3.3. Tested sizes and results
  • 3.4. notes
• 4. B modeling
  • 4.1. Characteristics of B modeling
  • 4.2. Characteristics of the mesh
  • 4.3. Tested sizes and results
  • 4.4. notes
• 5. C modeling
  • 5.1. Characteristics of C modeling
  • 5.2. Characteristics of the mesh
  • 5.3. Tested sizes and results
  • 5.4. notes
• 6. Summary of results