ASYMPTOTICS OF ARBITRARY ORDER FOR A THIN ELASTIC CLAMPED PLATE

The asymptotics of the displacement in a thin linear elastic clamped p late made of a monoclinic material is described by the combination of a polynomial Ansatz and of a boundary layer expansion. An inductive pr ocedure is thus performed whose justification lies in energy estimates and uniform bounds on the first neglected terms. For higher order nor ms, singularities along the edges of the plate must be described.