We propose an adaptive strategy for solving high frequencyHelmholtz scattering problems. Themethod is based on the uniaxial PMLmethod to truncate the scattering problem which is defined in the unbounded domain into the bounded domain. The parameters in the uniaxial PML method are determined by sharp a posteriori error estimates developed by Chen and Wu [8]. An hp-adaptive finite element strateg...

We discuss the reorientation of a cylindrically symmetric probe in a biaxial orthorombic medium, such as a biaxial nematic. We write down and solve for the first time the rotational diffusion equation for a rod-like or disc-like uniaxial probe reorienting in a medium of biaxial symmetry. We calculate first and second rank correlation functions both in the uniaxial and biaxial phase, giving the ...

This paper introduces an exploration to permuting ability of a 2D torus under deterministic XY routing. The research is carried out for a number of communication models, namely, unidirectional uniaxial, bidirectional uniaxial, unidirectional biaxial, and bidirectional biaxial. Necessary and sufficient conditions of blocking occurrence in a 2D torus for uniaxial models are expressed mathematical...

A new procedure is proposed for identifying uniaxial stress-strain relationship and Poisson’s ratio in compressed plain concrete. The procedure is based on the assumption of an internal core of intact material always present inside a specimen in uniaxial-compression. This involves a modification of the traditionally identified uniaxial stress-strain relationship and Poisson’s ratio, which turns...

Tetragonal ferroelectric/ferroelectric BaTiO(3)/PbTiO(3) superlattice under uniaxial tensile stress along the c axis is investigated from first principles. We show that the calculated ideal tensile strength is 6.85 GPa and that the superlattice under the loading of uniaxial tensile stress becomes soft along the nonpolar axes. We also find that the appropriately applied uniaxial tensile stress c...

Recently we have demonstrated a process for generating uniaxial tensile strain in silicon. In this work, we generate uniaxially strained silicon and anisotropically strained silicon germanium on insulator with strain in both 100 and 110 in-plane directions. The strain is uniform over fairly large areas, and relaxed silicon-germanium alloy buffers are not used. The magnitude of uniaxial strain g...

Analytical models that predict modulus degradation in cortical bone subjected to uniaxial fatigue loading in tension and compression are presented. On the basis of experimental observations, damage was modeled as self-limiting for tension but not for compression. These mechanistic uniaxial damage models were then developed into a model for flexural fatigue of cortical bone based on laminated be...

Classical escape rates of uniaxial spin systems are characterized by a prefactor differing from and much smaller than that of the particle problem, since the maximum of the spin energy is attained everywhere on the line of constant latitude: theta =const, 0 < or= phi < or = 2 pi. If a transverse field is applied, a saddle point of the energy is formed, and high, moderate, and low damping regime...

The realisation of employing Additive Layer Manufacturing (ALM) technologies to produce components in the aerospace industry is significantly increasing. This can be attributed to their ability to offer the near-net shape fabrication of fully dense components with a high potential for geometrical optimisation, all of which contribute to subsequent reductions in material wastage and component we...