The proposed theorem in this paper is indicative of a kind of duality in the propagation of waves in the dual media of and in the spherical structures. Independent of wave frequency, the number of layers, their thickness, and the type of polarization, this theorem holds true in case of any change in any of these conditions. Theorem: Consider a plane wave incident on a multilayered spheric...

ABSTRACT This paper presents the theoretical developments of two finite strip methods (i.e. semi-analytical and full-analytical) for the post-buckling analysis of isotropic plates. In the semi-analytical finite strip approach, all the displacements are postulated by the appropriate shape functions while in the development process of the full-analytical approach, the Von-Karman’s equilibrium equ...

The main goal of this paper will be to determine which hyperbolic polygons can be used to tessellate the hyperbolic plane. Sections 1-4 will be devoted to providing the context of the hyperbolic plane and developing the basic tools needed to prove the key theorems of this paper. In these sections I will cover two common models of the plane and the isometries of these spaces. Section 4 will be a...

This chapter paper considers GI System-based methods for analyzing spatial phenomena that occur on a network, herein referred to as network spatial phenomena. A typical network spatial phenomenon is the incidence of traffic accidents that occur on a road network (additional examples are given in Section 1). To analyze network spatial phenomena properly, a new class of spatial methods has been i...

There are various parameters that affect stability and expansion of failure zones in under pressure tunnels. Among the important parameters that affect failure zones around the tunnels are cohesion and internal friction angle of the rock mass. In addition, the cross sectional shape is the considerable point in failure distribution around the tunnels. The stress analysis method is one of the app...

When compared to tests on reinforced concrete (RC) walls with a rectangular or barbelled crosssection, only very few tests on RC walls with open cross-section exist. Most of these walls were subjected to unidirectional or bidirectional loading along one or both of the principal axes of the wall section. It was rare that tests were done using load paths that did not follow the principal axes. Th...

optical interferometry is being used as an efficient tool to analyse smooth surfaces for more than a century. although, due to introduction of novel computer assisted analyzing techniques and array detectors, like ccd, the speed and the precision of processing have been increased tremendously, but the main equation involved is not changed. the main equation is the intensity distribution in the ...

The properties of three-jet events with total transverse energy greater than 320 GeV and individual jet energy greater than 20 GeV have been analyzed and compared to absolute predictions from a next-to-leading order (NLO) perturbative QCD calculation. These data, of integrated luminosity 86 pb, were recorded by the CDF Experiment for pp collisions at √ s = 1.8 TeV. This study tests a model of h...