Generalized local B-bar method for locking phenomenon in Reissner-Mindlin shell and skew-symmetric Nitsche method for boundary conditions imposing and patch coupling in IGA

Qingyuan Hu , Franz Chouly (1) , Andreas Zilian (2) , Gengdong Cheng , Stéphane Bordas (3)

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)
2 Institute for Structural Analysis
3 Uni.lu - Université du Luxembourg

We adopt the generalized local B-bar method to deal with the locking phenomenon in Reissner-Mindlin shell. The local element-wise projection saves computational effort, and projected basis functions of different orders are used to achieve good accuracy. The skew-symmetric Nitsche method is introduced for boundary conditions imposing and patch coupling. It has an advantage of unconditional stability w.r.t. the stabilization parameter, i.e. it is parameter-free.

Domaines: Analyse numérique [math.NA]; Génie mécanique [physics.class-ph]; Mécanique des structures [physics.class-ph]

Qingyuan Hu, Franz Chouly, Andreas Zilian, Gengdong Cheng, Stéphane Bordas. Generalized local B-bar method for locking phenomenon in Reissner-Mindlin shell and skew-symmetric Nitsche method for boundary conditions imposing and patch coupling in IGA. 7th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry, Oct 2017, Stuttgart, Germany. ⟨hal-01654498⟩