Estimation of the possible instability that may be encountered in the excavation slope(s) during the planning and application steps of the rock excavation processes is an important issue in geoengineering. In this paper, a modelling method is presented for assessing the probability of wedge failure involving new permanent or temporary slope(s) along the planned excavation dir...

In earlier work we introduced topologically minimal surfaces as the analogue of geometrically minimal surfaces. Here we strengthen the analogy by showing that complicated amalgamations act as barriers to low genus, topologically minimal surfaces.

Over the past decade, the civil engineering community has ever more realized the importance and perspective of the reliability-based design optimization (RBDO), the selection of a design that satisfies performance constraints with a specified probability. Since then several stochastic simulation algorithms for computing small failure probabilities encountered in reliability analysis of engineer...

Richard Serra is considered one of the leading sculptors of our time. What is not usually pointed out is that much of his work is really mainstream mathematical sculpture. This includes the torqued ellipses, torqued spirals, and spaces between surfaces of zero, positive, and negative curvature. That is, spaces between cylindrical surfaces, conical surfaces, spherical surfaces, and saddle surfac...

The reactivity of the protonated and hydroxylated sphalerite (1 1 0) surface with xanthate was simulated using the density functional theory (DFT). The difference between the energy of the lowest unoccupied molecular orbital of the sphalerite surface and the energy of the highest occupied molecular orbital of xanthate (  was used to compare the reaction capability of xanthate with fresh and fun...

In this paper graphical presentation some of the constant mean curvature surfaces (CMC surfaces) is given. This work is an extension of the results [3]. Interesting shapes and complicate structures of CMC surfaces obtained using Mathematica computer program are given.

Abstract. This work introduces a system of algorithms to compute period matrices for general surfaces with arbitrary topologies. The algorithms are intrinsic to the geometry, independent of surface representation. The computation is efficient, stable and practical for real applications. The algorithms are experimented to real surfaces including human faces and sculptures, and applied for surfac...

magnetic abrasive finishing (maf) is a micromachining process that uses magnetic field and magnetic abrasive particles to conduct the mechanism of material removal in micro-nanometer scales. in this paper, by an experimental method and statistical analysis, the effects of parameters like working gap, work-piece rotational speed and material removal mechanism (injection of abrasive slurry of al2...

This work is about the implementation of a MPEG-4 decoder for subdivision surfaces, which are powerful 3D paradigms allowing to compactly represent piecewise smooth surfaces. This ‘study’ will take place in the framework of MPEG-4 AFX, the extension of the MPEG-4 standard including the subdivision surfaces. This document will introduce, with some details, the ‘theory’ of subdivision surfaces in...

We introduce a novel method for the approximation of shortest geodesics on smooth triangulated surfaces. The method relies on the theory of normal curves on triangulated surfaces and their relations with geodesics. We also relate in this work to normal surfaces and comment on the possible extension of the method for finding minimal surfaces inside 3-manifolds.