Lj. Alvarezvazquez et al., ASYMPTOTIC MODELING OF GENUINELY CLAMPED BEAMS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 324(12), 1997, pp. 1425-1430
We present several limit models for genuinely clamped elastic beams ob
tained from linear three-dimensional elasticity using an asymptotic me
thod, and we prove the existence and the uniqueness of the solution fo
r these models. We also obtain convergence to the usual clamped beam m
odel.