To explore the interaction between topological defects and curvature in materials with orientational order, we perform Monte Carlo studies of the two-dimensional XY model on the surface of curved substrates. Each curved surface is patterned with a random lattice constructed via random sequential absorption, and an XY spin is positioned at each lattice site. Spins lie in the plane locally tangen...

When applying higher order finite elements to curved 3D domains in largescale accelerator simulations, complexities that arise include needing valid curved finite elements and the capability to track the movement of mesh refinement in the critical domains. This paper presents a procedure which combines Bézier mesh curving and size driven mesh adaptation technologies to address those requirement...

Nowadays, the need for wireless communication systems is increasing in transport domain. These systems have to be operational in every type of environment and particularly tunnels for metro applications. These ones can have rectangular, circular or arch-shaped cross section. Furthermore, they can be straight or curved. This article presents a new method to model the radio wave propagation in st...

The ®nite element alternating method is extended further for analyzing multiple arbitrarily curved cracks in an isotropic plate under plane stress loading. The required analytical solution for an arbitrarily curved crack in an in®nite isotropic plate is obtained by solving the integral equations formulated by Cheung and Chen (1987a, b). With the proposed method several example problems are solv...

There is a theorem known as a Virial theorem that restricts the possible existence of non-trivial static solitary waves with scalar fields in a flat space-time with 3 or more spatial dimensions. This raises the following question: Does the analogous curved space-time version hold?. We investigate the possibility of solitons in a 4-D curved space-time with a simple model using numerical analysis...

A theoretical framework for the analysis of numerical approximations of a particular class of eigenvalue problems by mixed or hybrid methods is presented. More precisely, the eigenproblems considered here can be defined over curved domains or have internal curved boundaries due to the presence of heterogeneities and they may be associated with non compact inverse operators. Sufficient condition...

The most used life-line structure of the modern day is the bridges, which has been developed significantly, with the most recent introduction being of the curved bridges. They provide an aesthetic look and are also very convenient at various crossings and cross-over. However, curved bridges have been observed to have poor seismic response. Pounding between the adjacent segments, in-plane deck r...

This study was undertaken to assess the comparative effectiveness of two toothbrushes in the removal of plaque in an institutionalized, handicapped population. The two methods were: a conventional toothbrush using the Modified Stillman Method; and a curved-bristle toothbrush using the scrubbing technique recommended by the manufacturer. Subjects selected were profoundly retarded individuals, in...

An 86-year-old woman presented with chest pain and discomfort. Echocardiography revealed severe aortic valve stenosis and asymmetric septal hypertrophy. Aortic valve replacement and myectomy were performed using a curved knife. The blade was U-shaped in cross-section, and was curved upward along the long axis. Hypertrophic septal myocardium was removed along the long axis of the left ventricle ...

Both conventional and negative Poisson's ratio foams exhibit dispersion of acoustic waves as well as cut-off frequencies at which the group velocity tends to zero. This macroscopic behavior is attributed to micro-vibration of the foam cell ribs. The purpose of this article is to develop a micromechanical model of the cut-off frequency. This model is based on the resonance of ribs which may be s...