An Automatic Multilevel Refinement Technique based on Nested Local Meshes for Nonlinear Mechanics

Laureline Barbié (1) , Isabelle Ramière (2) , Frédéric Lebon (3)

1 M&S - Matériaux et Structures
2 LSC - Laboratoire de Simulation du Comportement des Combustibles
3 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]

In this paper an adaptive multilevel mesh refinement method, coupled with the Zienkiewicz and Zhu a posteriori error estimator, is applied to solid mechanics with the objective of conduct reliable nonlinear studies in acceptable computational times and memory space. Our automatic approach is first verified on linear behaviour, on 2D and 3D simulations. Then a nonlinear material behaviour is studied. Advantages and limitations of the local defect correction method in solid mechanics problems in terms of refinement ratio, error level, CPU time and memory space are discussed. This kind of resolution is also compared to a global h-adaptive resolution.

Mots clés: Local discontinuity; Adaptive mesh refinement; Uniform non-data-fitted meshes; A posteriori error estimation; Nonlinear solid mechanics; Pellet–cladding interaction

Domaines: Mécanique des solides [physics.class-ph]

Laureline Barbié, Isabelle Ramière, Frédéric Lebon. An Automatic Multilevel Refinement Technique based on Nested Local Meshes for Nonlinear Mechanics. Computers & Structures, 2015, 147, pp.14-25. ⟨10.1016/j.compstruc.2014.10.008⟩. ⟨hal-01247907⟩