A New Interpretation of Configurational Forces

In a recent paper (Gupta and Markenscoff in C. R., Méc. 336:126?C131, 2008) we interpreted configurational forces as necessary and sufficient dissipative mechanisms such that the corresponding Euler-Lagrange equations are satisfied. We now extend this argument for a dynamic elastic medium, and show that the energy flux obtained from the dynamic J integral ensures that the equations of motion hold throughout the body.     

A Review of Parallel Computing in Computational Aeroacoustics

This paper discusses parallel computing applied to computational aeroacoustics problems. Computer hardware, software and algorithms are also described. A short history of parallel computers is given, along with some discussion of future prospects. We have reviewed much of the literature, but this review is not exhaustive. Finite difference, finite volume, and finite element methods are briefly discussed. There is also a discussion of how aeroacoustic problems scale, and how that relates to computational requirements.     

Ascertaining universal features of yielding of soft materials

Many metastable complex fluids, when subjected to oscillatory shear flow of increasing strain amplitude at constant frequency, are known to show a characteristic nonlinear rheological response which consists of a monotonic decrease in the elastic modulus and a nonmonotonic change in the loss modulus. In particular, the loss modulus increases from its low strain value, crosses the elastic modulus, and then decreases with further increase in the strain amplitude. Miyazaki et al. (Europhys Lett 75:915–921, 2006) proposed a qualitative argument to explain the origin of the nonmonotonic nature of the loss modulus and suggested that in fact this response could be universal to all complex fluids if they are probed in a certain frequency window in which the fluid is dominantly elastic in the small strain limit. In this letter, we confirm their hypothesis by showing that a wide variety of complex fluids, irrespective of their thermodynamic state under quiescent conditions, indeed show the aforementioned characteristic nonlinear response. We also show that the maximum relative dissipation during yielding occurs when the imposed frequency resonates with the characteristic beta relaxation frequency of the fluid.     

Optical properties of boron-group (V) hexagonal nanowires: DFT investigation

The paper presents structural, electronic and optical properties of boron-group V hexagonal nanowires (h-NW) within the framework of density functional theory. The h-NW of boron-group V compounds with an analogous diameter of 12 Å have been designed in (1 1 1) plane. Stability analysis performed through formation energies reveal that, the stability of these structures decreases with increasing atomic number of the group V element. The band nature predicts that these nanowires are good electrical conductors. Optical behaviour of the nanowires has been analysed through absorption coefficient, reflectivity, refractive index, optical conductivity and electron energy loss spectrum (EELS), that are computed from the frequency-dependent complex dielectric function. The analysis reveals high reactivity of BP and BAs h-NWs to the incident light especially in the IR and visible ranges, and the optical transparency of BN h-NW in the visible and UV ranges.     

Theory of electroosmotic flow,retention and separation efficiency in capillary electrochromatography

This article reviews recent progress that has taken place in the past decade (1992-2002) in the areas of understanding of flow of ions, buffers, as well as neutral and charged sample components through open channels and porous media. Though, primarily dealing with open capillaries and packed columns that are often used in capillary electrochromatography (CEC), these fundamental concepts are applicable to the evolving area of separations on a microchip.     

Cyclic covers of rings with rational singularities

We examine some recent work of Phillip Griffith on étale covers and fibered products from the point of view of tight closure theory. While it is known that cyclic covers of Gorenstein rings with rational singularities are Cohen-Macaulay, we show this is not true in general in the absence of the Gorenstein hypothesis. Specifically, we show that the canonical cover of a -Gorenstein ring with rational singularities need not be Cohen-Macaulay.

     

On the finsler space admitting a holonomy group

Summary The ideas of holonomy group fixing an m-dimensional plane in a Finsler space were given by one of the present authors[1]. In that paper the deformation properties of the space admitting such holonomy group were of main consideration and, indeed, the decomposition characteristics of the space were not touched upon. In the present paper we consider the decomposition of the space due to the existence of holonomy group. The geometry is constructed on the decomposed metric of the space. The decomposition properties of various entities such as the connection parameters, the covariant derivatives, the curvature tensors, and the projective curvature tensors have been studied. In all there are six articles in the paper. The first of these is introductory. The next three articles are dealt with the Cartan's approach to Finsler space whereas the fifth one is dealt with Berwald's approach. The last article is devoted to the theory of decomposition in the projective curvature tensors. Entrata in Redazione il 18 ottobre 1969.