v6.05.100 SSNS100 - Nonlinear behavior of a layer of reinforcements under thermal loading

Summary:

A sheet of reinforcement that is not eccentric with respect to the middle sheet and embedded on its four sides is subjected to a thermal loading. The orientations of the reinforcements coincide with the axes \((X,Y)\) of the global coordinate system.

The main interest of this test is to validate the numerical integration of elasto‑plastic behavior models GRILLE_ISOT_LINE, GRILLE_CINE_LINE and GRILLE_PINTO_MEN of a layer of reinforcements associated with the finite element GRILLE_EXCENTRE (plate with eccentricity in relation to the reference plane), in the general algorithm STAT_NON_LINE.

In order to obtain reference solutions, analytical solutions have been established for both elasto-plastic behaviors with linear isotropic and linear kinematic work hardening. The Pinto-Menegotto behavior is validated by non-regression of the numerical results obtained with Aster in version 5-3 (cf. [§1.3.3]).

• 1. Reference problem
  • 1.1. Plate geometry
  • 1.2. Characteristics of the models
  • 1.3. Material properties
  • 1.4. Boundary conditions and loading
• 2. Reference solutions
  • 2.1. Isotropic plastic behavior
  • 2.2. Kinematic plastic behavior
  • 2.3. Pinto Ménégotto behavior
• 3. Modeling A
  • 3.1. Modeling A results (linear isotropic work hardening)
• 4. B modeling
  • 4.1. Thermal loading for B modeling
  • 4.2. Results
• 5. C modeling
  • 5.1. Thermal loading for C modeling
  • 5.2. Results
• 6. D modeling
• 7. Modeling E
  • 7.1. Results
• 8. F modeling
  • 8.1. Results
• 9. G modeling
  • 9.1. Results
• 10. H modeling
  • 10.1. Results
• 11. Summary of results