A new locking-free formulation for the SHB8PS solid–shell element: non-linear benchmark problems

Farid Abed-Meraim (1) , Alain Combescure (2)

1 LEM3 - Laboratoire d'Etude des Microstructures et de Mécanique des Matériaux
2 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]

In this work, a new physically stabilized and locking-free formulation of the SHB8PS element is presented. This is a solid-shell element based on a purely 3D formulation. It has eight nodes as well as five integration points, all distributed along the “thickness” direction. Consequently, it can be used for the modeling of thin structures, while providing an accurate description of the various through-thickness phenomena. The reduced integration has been used in order to prevent some locking phenomena and to increase computational efficiency. The spurious zero-energy deformation modes due to the reduced integration are efficiently stabilized, whereas the strain components corresponding to locking modes are eliminated with a projection technique following the Enhanced Assumed Strain (EAS) method.

Mots clés: SHB8PS Solid-shell; Hourglass; Shear and Membrane Locking; Assumed Strain Method; Orthogonal Projection; Benchmark Problems

Domaines: Génie des procédés; Matériaux; Mécanique [physics.med-ph]; Génie mécanique [physics.class-ph]; Matériaux et structures en mécanique [physics.class-ph]; Mécanique des matériaux [physics.class-ph]; Mécanique des solides [physics.class-ph]; Mécanique des structures [physics.class-ph]; Vibrations [physics.class-ph]

Farid Abed-Meraim, Alain Combescure. A new locking-free formulation for the SHB8PS solid–shell element: non-linear benchmark problems. International Conference on Computational Methods for Coupled Problems in Science and Engineering: COUPLED PROBLEMS 2007, May 2007, Ibiza, Spain. ⟨hal-01235439⟩