Radiative decay of the bottom quark and the WWγ coupling

The flavour-changing radiative decay b→sγ is analysed, and is found to be sensitive to the WWγ coupling. QCD corrections are found to play an important role. A good measurement of the branching ratio for B→K*γ may allow us to test the gauge coupling for WWγ of the standard model.     

Multi-mode nonlinear vibration and postbuckling of antisymmetrically laminated imperfect angle-ply cylindrical panel with free straight edges

Summary A multi-mode solution to nonlinear vibration and postbuckling of the titled problem is presented for two straight edges free from forces and bending moments and the other edges subjected to identical variation of rotational stiffness and normal boundary forces. The dynamic Marguerre-type nonlinear equations are adopted. The transverse deflection and stress function are expanded into two series with timedependent coefficients. The Galerkin procedure furnishes an infinite system of ordinary differential equations for these time functions. The method of harmonic balance is used for a solution of a finite number of these equations. The postbuckling behavior is treated as a special case. Numerical results in nonlinear vibration and postbuckling of antisymmetrically laminated angle-ply panel are presented graphically for different panel parameters and also compared with available data.

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Nichtlineare Schwingung und Nachbeulen einer antisymmetrisch geschichteten, imperfekten zylindrischen Schale mit freien geraden Rändern

Übersicht Für das im Titel genannte Problem wird bei Normalkraftbelastung und Verdrehsteifigkeit der kreisbogenförmigen Ränder eine Lösung der dynamischen, nichtlinearen Marguerre-Gleichungen in Form verallgemeinerter Fourier-Reihen für die Durchbiegung und Spannungsfunktion mit zeitabhängigen Koeffizienten vorgestellt. Das Galerkin-Verfahren liefert ein System unendlich vieler gewöhnlicher Differentialgleichungen für diese Zeitfunktionen. Zur Lösung einer endlichen Zahl der Gleichungen wird die Methode der harmonischen Balance benutzt. Für verschiedene Schalenparameter werden numerische Resultate zur Schwingung und zum Nachbeulen in graphischer Form dargestellt und mit fremden Ergebnissen verglichen.

     

Transport with a Very Low Density Contrast in Hele–Shaw Cell and Porous Medium: Evolution of the Mixing Zone

The optimal concentration of a blue dye solution with 'tracer' properties, enabling a pollutant to be marked was determined by the use of numerical, theoretical and experimental approaches. Experimental investigations were performed on a transparent Hele–Shaw cell and the concentration distribution was analyzed using an optical technique based on dye light absorption properties. The injected optimal concentration was established thanks to a theoretical and experimental study carried out on the output signal dynamics. Using the same experimental conditions, numerical simulations were performed. The very good agreement between the data (experimental and numerical) clarified that: (i) the choice of the blue dye optimal concentration was valid and (ii) the concentration-dependent density should not be neglected in flow and transport equations even if it concerns a so-called 'tracer'. Following this remark, a theoretical aspect was developed in order to determine the analogous conditions between a Hele–Shaw cell and a porous medium for the variable density transport phenomenon. The structure of the concentration-dependent dispersion tensor used in the numerical code was obtained by homogenizing the Stokes flow of a bi-component mixture. The numerical results show that, as long as the tracer density does not exceed a certain value, it is not necessary to take into account a density contrast in terms of the dispersion tensor. The classical form of the Taylor dispersion tensor can be used successfully.     

Morphology and temperature responsiveness–swelling relationship of poly(N‐isopropylamide–chitosan) copolymers and their application to drug release

Poly [N‐isopropylacrylamide (NIPAAm)–chitosan] crosslinked copolymer particles were synthesized by soapless emulsion copolymerization of NIPAAm and chitosan. An anionic initiator [ammonium persulfate (APS)] and a cationic initiator [2,2′‐azobis(2‐methylpropionamidine)dihydrochloride (AIBA)] were used to initiate the reaction of copolymerization. The chitosan–NIPAAm copolymer synthesized by using APS as the initiator showed a homogeneous morphology and exhibited the characteristic of a lower critical solution temperature (LCST). The copolymer synthesized by using AIBA as an initiator showed a core–shell morphology, and the characteristic of LCST was insignificant. The LCST of the chitosan–NIPAAm copolymer depended on the morphology of the copolymer particles. In addition, the chitosan–NIPAAm copolymer particles were processed to form copolymer disks. Then, the effect of various variables such as the chitosan/NIPAAm weight ratio, the concentration of crosslinking agent, and the pH values on the swelling ratio of chitosan–NIPAAm copolymer disks were investigated. Furthermore, caffeine was used as the model drug to study the characteristics of drug loading of the chitosan–NIPAAm copolymer disks. Variables such as the chitosan/NIPAAm weight ratio and the concentration of the crosslinking agent significantly influenced the behavior of caffeine loading. Two factors (pore size and swelling ratio) affected the behavior of caffeine release from the chitosan–NIPAAm copolymer disks. © 2004 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 42: 3029–3037, 2004     

On the join of graphs and chromatic uniqueness

A graph is chromatically unique if it is uniquely determined by its chromatic polynomial. Let G be a chromatically unique graph and let K_m denote the complete graph on m vertices. This paper is mainly concerned with the chromaticity of K_m + G where + denotes the join of graphs. Also, it is shown that a large family of connected vertextransitive graphs that are not chromatically unique can be obtained by taking the join of some vertex-transitive graphs. © 1995 John Wiley & Sons, Inc.     

Synthesis of 2,2′‐Biflavanones from Flavone via Electrolytic Reductive Coupling

Flavone ( 1 ) was easily reduced by using the electrochemical method to give two hydrodimers of 2,2′‐biflavanone(racemate) ( 5a ) and 2,2′‐biflavanone(meso) ( 5b ) and one reductive product of flavanone ( 6 ). Their yields were dependent on the nature of electrodes, the kinds of supporting electrolytes and the reaction temperature. They were found to afford higher yields of 2,2′‐biflavanone(racemate) ( 5a ) and 2,2′‐biflavanone (meso) ( 5b ) (32.4% and 24.8%, 35.8% and 13.4%, respectively,) in the reaction conditions of Pb(‐)/C(+)‐H₂SO₄‐7F/mol and C(‐)/C(+)‐H₂SO₄‐5F/mol.     

Postbuckling of angle-ply and anisotropic plates

Summary An analysis based on the von Kármán-type large-deflection equations of plates is presented for the postbuckling behavior of homogeneous and symmetrically laminated anisotropic rectangular plates. Boundary conditions for both simply supported and clamped edges are considered. A solution is obtained by expressing the force function and transverse deflection as double series involving the appropriate beam eigen-functions. Numerical results are presented for graphite-epoxy angle-ply laminates and homogeneous anisotropic plates. In the cases of buckling of anisotropic plates and postbuckling of isotropic and orthotropic plates, the present solution is in good agreement with existing solutions.

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Übersicht Es wird das Nachbeulverhalten von homogenen, symmetrisch geschichteten, anisotropen Rechteckplatten auf der Grundlage der von Kármán angegebenen Platten-Gleichungen für große Auslenkungen untersucht. Dabei werden sowohl einfach aufliegende, wie auch eingespannte Ränder als Randbedingungen berücksichtigt. Lösungen werden dadurch gewonnen, daß die Belastungsfunktion und die Querauslenkung als doppelte Reihen von geeigneten Balken-Eigenfunktionen angesetzt werden. Für Graphit-Epoxid-Schichtplatten und anisotrope homogene Platten werden numerische Ergebnisse mitgeteilt. Die erhaltenen Lösungen stimmen in den Fällen des Beulens von anisotropen Platten sowie des Nachbeulens von isotropen und orthotropen Platten gut mit bekannten Lösungen überein.

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The results presented in this paper were obtained in the course of research sponsored by the National Research Council of Canada.     

Stability of streaming layer in an unbounded self-gravitational fluid

The stability of a streaming layer of incompressible, inviscid, self-gravitational fluid bounded in an infinite similar medium is investigated. The critical wave numbers are found when the layer has a linear streaming velocity profile.     

Nonseparable graphs with a given number of cycles

G. Ringel conjectured that for every positive integer n other than 2, 4, 5, 8, 9, and 16, there exists a nonseparable graph with n cycles. It is proved here that the conjecture is true even with the restriction to planar and hamiltonian graphs.