Comparative study of primal- and dual-mixed finite element models for cylindrical shells

Discontinuous Dual-primal Mixed Finite Elements for Elliptic Problems

We propose a novel discontinuous mixed nite element formulation for the solution of second-order elliptic problems. Fully discontinuous piecewise polynomial nite element spaces are used for the trial and test functions. The discontinuous nature of the test functions at the element interfaces allows to introduce new boundary unknowns that, on the one hand enforce the weak continuity of the trial...

Dual Formulations of Mixed Finite Element Methods

Abstract Mixed finite element methods solve a PDE using two or more variables. The theory of Discrete Exterior Calculus explains why the degrees of freedom associated to the different variables should be stored on both primal and dual domain meshes with a discrete Hodge star used to transfer information between the meshes. We show through analysis and examples that the choice of discrete Hodge ...

Finite Element Galerkin Models and Identified Finite Element Models - a Comparative Study

A new approach to derive a finite element discretisation of PDE equations soley from observations is compared, in terms of approximation accuracy, with the standard finite element Galerkin approach which assumes knowledge of the governing PDE’s. It is shown both in theory and by means of an example that, for a given model order, the identified model is more accurate than the equivalent finite e...

Analytical models for bistable cylindrical shells

Thin cylindrical shell structures can show interesting bistable behaviour. If made unstressed from isotropic materials they are only stable in the initial configuration, but if made from fibre-reinforced composites they may also have a second, stable configuration. If the layup of the composite is antisymmetric, this alternative stable configuration forms a tight coil; if the layup is symmetric...

FOro1ULATION A~D APPLICATION OF CERTAIN PRIMAL AND MIXED FINITE ELEMENT MODELS OF FINITE DEFO~~TIONS OF EJ~STIC BODIES