Anisotropic Error Estimates in the Layers

As we saw in the last chapter, the normal displacement u3, as a solution of the limit membrane model, is at best in L2(Ω), whereas the solution \(u^\varepsilon_3\) of the Koiter model is in H2(Ω) (for e> 0). Consequently, boundary and internal layers, leading to singularities of the displacements inside the layers, may appear during the asymptotic process when e decreases toward zero.