An intrinsic formulation of the Kirchhoff–Love theory of linearly elastic plates
Philippe G. Ciarlet, Cristinel Mardare · Analysis and Applications · 2017
We recast the displacement-traction problem of the Kirchhoff–Love theory of linearly elastic plates as a boundary value problem with the bending moments and stress resultants inside the middle section of the plate as the sole unknowns, instead of the displacement field in the classical formulation. To this end, we show in particular how to recast the Dirichlet boundary conditions satisfied by the displacement field of the middle surface of a plate as boundary conditions satisfied by the bending moments and stress resultants.