r5.04.04 Nonlocal modeling with nodal damage gradients GVNO

Summary

We present here the nonlocal nodal damage gradient modeling entitled GVNO in Code_Aster, resulting from the thesis work of J. Beaurain. This modeling can be seen as a simplification of non-local modeling with an internal variable gradient GRAD_VARI.

Non-local models of type GVNO are available in 3D (3D_ GVNO), axisymmetric (AXIS_GVNO), and plane deformations (D_ PLAN_GVNO).

The use of GVNO is very simple, since all you have to do is specify the X_ GVNO modeling in AFFE_MODELE, specify a characteristic length under the keyword NON_LOCAL in DEFI_MATERIAU, and check that the law of behavior you want to use is indeed available in a non-local version.

The writing and numerical processing of this model are presented.

• 1. Reminder on the theory of gradient models
  • 1.1. Construction of gradient models
  • 1.2. Discretization in time
  • 1.3. Spatial discretization by finite elements
  • 1.4. Calculation of internal forces
• 2. Choice of finite elements
• 3. Resolution methods
• 4. Available models
• 5. Behavioral laws available with GVNO models
• 6. Advice/Procedure for implementing a new behavior law with damage gradients
• 7. Tips on using GVNO
• 8. Features and checks
• 9. Bibliography
• 10. Description of document versions