XLME interpolants, a seamless bridge between XFEM and enriched meshless methods

in Computational Mechanics (2013)

In this paper, we develop a method based on local maximum entropy shape functions together with enrichment functions used in partition of unity methods to discretize problems in linear elastic fracture ... [more ▼]

In this paper, we develop a method based on local maximum entropy shape functions together with enrichment functions used in partition of unity methods to discretize problems in linear elastic fracture mechanics. We obtain improved accuracy relative to the standard extended finite element method at a comparable computational cost. In addition, we keep the advantages of the LME shape functions, such as smoothness and non-negativity. We show numerically that optimal convergence (same as in FEM) for energy norm and stress intensity factors can be obtained through the use of geometric (fixed area) enrichment with no special treatment of the nodes near the crack such as blending or shifting. © 2013 Springer-Verlag Berlin Heidelberg. [less ▲]

Zur Rotationskapazität von Verbundanschlüssen bei der Bemessung nach dem Fließgelenkverfahren

Doctoral thesis (2009)

The present work deals with the load bearing and rotational behaviour of composite connections in steel and concrete constructions. For typical buildings, composite connections are assumed to be rigid or ... [more ▼]

The present work deals with the load bearing and rotational behaviour of composite connections in steel and concrete constructions. For typical buildings, composite connections are assumed to be rigid or pinned. This assumption can lead to uneconomic structures. A design concept for the estimation of the available rotation capacity, the initial stiffness and the moment bearing capacity of semi-rigid connections is presented. On the basis of the plastic hinge theory diagrams were developed to prove the load carrying capacity and the serviceability of composite beams with semi-rigid connections. The presented design model is based on the evaluation of 9 self conducted tests and on the evaluation of 74 tests on composite connections from all over Europe. The availability of the model was proved by intensive nonlinear finite element simulations. [less ▲]