There is a gap between the modelling and the simulation of discontinuous dynamical systems (DDS) exhibiting sliding-mode behaviour. Several challenges arise. Mainly, the definition of unique solutions on the discontinuity surfaces and at their crossings. There are also numerical issues in the detection and location of the trajectory entering and going out of the discontinuity surface, as well a...

Abstract. Based on a validated two-dimensional XFEM code for two-phase flows, this work deals with the extension of this code to three spatial dimensions using structured hexahedral meshes. Surface tension effects are considered, resulting in a discontinuous pressure field. The treatment of hexahedral elements which are cut by the interface is shown. In contrast to linear tetrahedral elements, ...

A hybrid automatic and interactive scheme is developed for partitioning the surfaces of mechanical parts represented by finite element meshes on the basis of geometric discontinuity. Given a finite element surface mesh M in three dimensions, the algorithm firstly finds a partition of M into k subregions k M M ,..., 1 on the basis of 1 G discontinuities in an automatic manner. Secondly, an inter...

We study the emission of photoelectrons from plasmonic nanoparticles into a surrounding matrix. We consider two mechanisms of electron emission from the nanoparticles--surface and volume ones--and use models for these two mechanisms which allow us to obtain analytical results for the photoelectron emission rate from a nanoparticle. Calculations have been carried out for a step potential at the ...

Synopsis The yield-line method of analysis provides a powerful means of identifying the ultimate load carrying capacity of reinforced concrete slabs. Benefits of the yield-line method are that it will often identify additional reserves of strength when applied to the analysis of existing slabs, and to highly economic slabs when used in design. Traditionally a hand-based method, the yield-line m...

Responses to questions, comments and criticism of our recent paper “General Relativity Resolves..” [1] are provided. It is emphasized that our model is entirely natural to describe the dynamics of an axially symmetric galaxy and that our solution, albeit idealized, contains the essence of the problem. The discontinuity of the metric derivative on the symmetry plane is necessarily interpreted as...

We appreciate this opportunity to (i) clarify the simulation of surface winds at landfall of Hurricane Andrew (1992) as reported in Liu et al. (1997, hereafter referred to as LZY); (ii) make more detailed comparisons with one of the most sophisticated surface analyses of a landfallen hurricane by Powell and Houston (1996, hereafter referred to as PH96); and (iii) present the simulated winds at ...

Quantum efficiencies of surface (SPE) and volume (VPE) photo-emissions from metal nanoparticles are calculated by quantum mechanical perturbation theory compared with each other. Along discontinuities in the potential barrier dielectric function, discontinuity electron effective mass on metal-environment interface is taken into account. General formulas for SPE VPE derived. An example spherical...