u3.14.06 3D Modeling_ INCO_UPG

Summary:

This document describes for 3D modelling_ INCO_UPG:

• the degrees of freedom carried by the finite elements that support modeling,

• the related support meshes,

• the laws of behavior and the loads supported,

• non-linear possibilities,

• test cases implementing modeling.

This modeling is based on finite elements adapted to the treatment of almost incompressible problems. It is essential for carrying out limit analysis calculations with Norton‑Hoff’s law and is also useful for studies with strong plastic deformations for which the classical formulation in motion proves to be insufficient (stress oscillation). The formulation used is a formulation with 3 fields: displacement-pressure-swelling [R6.03.05], usable with all behaviors written in incremental and elastic form. 3D modeling_ INCO_UPG has solid support meshes and accepts TETRA10, HEXA20, and PENTA15.

• 1. Discretization
  • 1.1. Degrees of freedom
  • 1.2. Support mesh for stiffness matrices
  • 1.3. Surface load support mesh
• 2. Supported loads
• 3. Nonlinear possibilities
  • 3.1. Laws of behavior
  • 3.2. Deformations
  • 3.3. Newton’s method
• 4. Examples of implementation: test cases