r3.07.02 Numerical modeling of thin structures: axisymmetric thermo-elasto-plastic shells

Summary:

A numerical formulation is presented for the modeling of structures with an average surface of particular geometry: shells with rotational symmetry around the \(\mathit{Oy}\) axis (modeling COQUE_AXIS).

The isotropic thermoelasto-plastic case is completely described, within the framework of the theories of LOVE - KIRCHHOFF and HENCKY - MINDLIN - REISSNER, as well as the various loads studied, for the isoparametric finite element chosen.

• 1. Introduction
• 2. Ongoing problem
  • 2.1. Description of geometry, kinematics
  • 2.2. Thermo-elasto-plastic balance
• 3. Finite element formulation and discretization
  • 3.1. Description of the selected finite element
  • 3.2. Formulation of basic terms
  • 3.3. Calculation of deformations and stresses
• 4. Conclusion
• 5. Bibliography
• 6. Description of document versions