r3.07.10 Finite elements of « solid » shells — COQUE_SOLIDE

Summary:

In order to complete the library of finite elements for flat plates [R3.07.03] currently available (DKT, DST, Q4G…), it is proposed to introduce a finite solid shell element [bib7] _. This modeling COQUE_SOLIDE (solid-shell element) makes it possible to perform calculations of thin structures of any shape.

Avertissement

Cette documentation est provisoire, les éléments ne sont pas suffisamment validés pour être utilisés dans les études AIP et l’élément COQUE_SOLIDE est hors du périmètre de qualification.

Table of Contents

• 1. Introduction
  • 1.1. Limitation of classical isoparametric elements
• 2. Cinematics
  • 2.1. Configurations description
  • 2.2. Jacobian of the transformation
  • 2.3. Tensor for small deformations
  • 2.4. Green-Lagrange strain tensor
• 3. Variational formulations
  • 3.1. Linear and non-linear static equilibrium
  • 3.2. Stability calculation
  • 3.3. Dynamic calculation
• 4. Stabilization
  • 4.1. Principles
• 5. Hexahedral element with nine knots (SB9)
  • 5.1. Geometry of the eight-node brick
  • 5.2. Interpolation of movements
  • 5.3. Calculus of the Jacobians
  • 5.4. Calculation of small deformations
  • 5.5. Calculation of large deformations
  • 5.6. Postulated deformations method (ANS)
• 6. References