Decomposition of plate displacements via Kirchhoff-Love displacements

Georges Griso (1)

1 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions

In this paper, we show that any displacement of a plate is the sum of a Kirchhoff-Love displacement and two terms, one for shearing and one for warping. Then, the plate is loaded in order to get that the bending and shearing contribute the same order of magnitude to the rotations of the fibers.

Mots clés: linear elasticity elementary displacement Kirchhoff-Love displacement shearing warping. Mathematics Subject Classification (2020): 35Q74 74K20 74B05; linear elasticity; elementary displacement; Kirchhoff-Love displacement; shearing; warping. Mathematics Subject Classification (2020): 35Q74; 74K20; 74B05

Domaines: Mathématiques [math]

Georges Griso. Decomposition of plate displacements via Kirchhoff-Love displacements. 2023. ⟨hal-03938946⟩