Plates and shells are characterized by (i) their midsurface S,(ii) their thickness d. The plate
or shell character is that d is small compared to the dimensions of S. In this respect, we …

We develop and analyze a discontinuous Petrov–Galerkin method with optimal test
functions (DPG method) for a shallow shell model of Koiter type. It is based on a uniformly …

In this paper, we study thin viscoelastic shell structures using a constitutive equation in
hereditary integral form. An alternative mathematical formulations for several viscoelastic …

A four‐node shell finite element of arbitrary quadrilateral shape is developed and applied to
the solution of static and vibration problems. The element incorporates five generalized …

We are interested in the asymptotic analysis of the eigenvalue problem of clamped
cylindrical shells. We analyze the lowest eigenvalues as a function of the shell thickness t …

In this paper, we study numerical locking effects in the finite element approximation of shell
layers. The focus is on four-node degenerated elements that are perhaps the most widely …

A new, general hp-version axisymmetric finite element is derived for the boundary value
problems of thin linearly elastic shells of revolution, applying a complementary strain energy …

We study the accuracy and reliability of the lowest‐order bilinear shell finite element
schemes. Our approach is based mainly on a simplified shallow shell model analogous to …

We prove a general adimensional energy estimate between the solution of the three-
dimensional Lamé system on a thin clamped shell and a displacement reconstructed from …

We study the fundamental (normal point load) solution for shallow shells. The solution is
expressed as a Fourier series and its properties are analyzed both at the asymptotic limit of …