Fatigue failure of strucutres is normally caused by cracks that extend beyond a safe size. Flaws are present to some extend in all structural parts, either as a result of manufacturing fabrication defects or damage in service. Crack growth is a complex phenomenon to model and simplifications are assumed. In recent years, there has been an increasing realisation that advanced computational metho...

The finite element method (FEM) can be applied to practically analyze the tall buildings in which the shear walls are used to resist the lateral loads. Accordingly, a variety of displacement and strain-based as well as frame macro elements have been proposed for analysis of the tall buildings. With respect to application of the lower order plane stress elements, analytical problems may arise wi...

The study of languages of labelled birooted trees, that is, elements of the free inverse monoid enriched by a vertex labelling, has led to the notion of quasi-recognisability. It generalises the usual notion of recognisability by replacing homomorphisms by certain prehomomorphism into finite ordered monoids, called adequate, that only preserve some products: the so-called disjoint ones. In this...

After a short introduction to Generalized Finite Element Methods (GFEM) for two-dimensional triangular elements, a technique is presented to impose Dirichlet-type boundary conditions to global higher order GFEM ansatz spaces. The convergence rates of h-, p-, hp-and enriched p-versions of the GFEM are discussed with respect to singularities. The method is applied to a two dimensional Poisson mod...