Stabilized finite element formulation for the Reissner-Mindlin plate model is considered. Physical interpretation for the stabilization procedure for low order elements is established. Explicit interpolation functions for linear and bilinear stabilized MITC elements are derived. Some numerical examples including buckling and frequency analyses are presented. Copyright c © 2000 John Wiley & Sons...

Plate structures suffering thermal environments are often encountered in practice. In this paper, buckling behavior of complex-shaped plates by an adaptive multi-patch isogeometric analysis (IGA) based on locally refined NURBS and Nitsche’s method is studied. Kinematic equations derived using Reissner–Mindlin plate theory, while complex geometries represented with multiple patches, where the co...

Almost all known structures are designed for low weight and high strength. For metal structures, especially aircrafts and underwater vehicles, this means reinforcement in the form of ribs. This paper presents an analytic model for the prediction of the acoustic scattered field from such rib-reinforced structures. The geometry is assumed to be that of an infinite elastic plate reinforced with a ...

We study the steady-state and transient responses of a second-order elastic plate by implementing an asymptotic analysis three-dimensional equations with respect to two geometric characteristics seen as parameters: thickness inner material length. Depending on their ratio, four different models arise. Conditions under which Reissner–Mindlin kinematics may appear are discussed while influence cr...

We analyze the robustness of various standard finite element schemes for a hierarchy of plate models and obtain asymptotic convergence estimates that are uniform in terms of the thickness d . We identify h version schemes that show locking, i.e., for which the asymptotic convergence rate deteriorates as ¿->0, and also show that the p version is free of locking. In order to isolate locking effec...

—Multigrid methods for parameter dependent problems are discussed* The contraction numbers ofthe algoriîhms are proved within a unifying framework to be bounded awayfrom one, independent ofthe parameter and the mesth levels. Examples include the pure displacement and pure traction boundary value problems in planar linear elasticity, the Tïmoshenko béant problem, and the Reissner-Mindlin plate p...