Classical Plate Problems

Sébastien Brisard (1)

1 navier umr 8205 - Laboratoire Navier

Bending of plates refers to internal states of stress such that the membrane stress resultants vanish. From the kinematic point of view, it means that the in-plane displacements of the material points of the plate are null. In other words, the degrees of freedom of plates in bending are the out-of-plane displacement (thick and thin plates), together with the two material rotations (thick plates only) – see article “Direct Derivation of Plate Theories”

Mots clés: Thin plate; Thick plate; Circular plate; Rectangular plate

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

Sébastien Brisard. Classical Plate Problems. Holm Altenbach; Andreas Öchsner. Encyclopedia of continuum mechanics, Springer, 2017, Section on Plates, 978-3-662-53605-6. ⟨10.1007/978-3-662-53605-6_133-1⟩. ⟨hal-01685049⟩