A Finite Difference Element Method for thin elastic Shells

Daniel Choï (1)

1 LMNO - Laboratoire de Mathématiques Nicolas Oresme

We present, in this paper, a four nodes quadrangular shell element (FDEM4) based on a Finite Difference Element Method that we introduce. Its stability and robustness with respect to shear locking and membrane locking problems is discussed. Numerical tests including inhibited and non-inhibited cases of thin linear shells are presented and compared with widely used DKT and MITC4 elements.

Mots clés: Finite Element Methods; Membrane Locking; Shear Locking; Elastic shells; MITC4; DKT; Finite Difference

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

Daniel Choï. A Finite Difference Element Method for thin elastic Shells. 2009. ⟨hal-00383366v1⟩