RELAXATION OF RESIDUAL STRESSES IN A SURFACE-HARDENED PRISMATIC SAMPLE SUBJECTED TO BIAXIAL LOADING UNDER CREEP CONDITIONS

Journal of Applied Mechanics and Technical Physics - A mathematical model was developed to calculate the relaxation of residual stresses in a surface-hardened prismatic sample subjected to biaxial...     

Lie symmetries and solitons in nonlinear systems with spatially inhomogeneous nonlinearities

Using Lie group theory and canonical transformations, we construct explicit solutions of nonlinear Schr?dinger equations with spatially inhomogeneous nonlinearities. We present the general theory, use it to show that localized nonlinearities can support bound states with an arbitrary number solitons, and discuss other applications of interest to the field of nonlinear matter waves.     

Kinetic study on the living/controlled cationic polymerization of p‐methoxystyrene coinitiated by tris(pentafluorophenyl)borane

A kinetic study of the living cationic polymerization of p‐methoxystyrene using 1‐(4‐methoxyphenyl)ethanol ( 1 )/B(C₆F₅)₃ initiating system in a mixture of CH₃CN with CH₂Cl₂ 1:1 (v/v) at room temperature was carried out utilizing a wide variety of conditions. The polymerization proceeded in a living fashion even in the presence of a large amount of water ([H₂O]/[B(C₆F₅)₃] ratio up to 20) to afford polymers whose M_n increased in direct proportion to monomer conversion with fairly narrow MWDs (M_w/M_n ≤ 1.3). The investigation revealed that the rate of polymerization was first‐order in B(C₆F₅)₃ concentration, while a negative order in H₂O concentration close to ?2 was obtained. It was also found that the rate of polymerization decreased with lowering temperature, which could be attributed to a decreased concentration in free Lewis acid, the true coinitiator of polymerization. A mechanistic scheme to explain the kinetic behavior of living p‐methoxystyrene polymerization is proposed, which has been validated by PREDICI simulation on multiple‐data curves obtained by ¹H NMR in situ polymerization experiment. © 2008 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 46: 6928–6939, 2008     

Reconstruction of the Dependence of Radiative Loss of the Tokamak Plasma Using the Experimental Transverse Distribution of Radiation

Technical Physics - Theoretical principles for determination of the power density of electromagnetic radiation (radiative loss) in a plasma volume with cylindrical symmetry are based on the results...     

On the geometry of the Batalin–Vilkovisky formalism

In this work it is proved that the geometry of the well-known quantization scheme of general gauge theories, the so-called Batalin–Vilkovisky formalism, is the odd Riemannian geometry. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 28–31, November, 2008.     

Effect of composition and structure of cobalt(II) complexes with oxyaldiminopropylaerosils on their catalytic activity in the decomposition of ozone

The composition, structure, and catalytic activity in low-temperature ozone decomposition were described for cobalt(II) complexes with oxyaldiminopropyl ligands achored to aerosil A-300 differing in the nature and position of the benzene ring substituent. The effect of the geometry of the coordination unit and electronic effects of the benzene ring substituents on the catalytic activity of the cobalt(II) complexes in ozone decomposition were established.     

Simulation of liquid cooling of an extruded sleeve plastic film

A mathematical model of a liquid cooling was considered for a tubular plastic film produced by extrusion down. The developed model allows for a preset film speed (extruder) and film parameters to determine a length of a cooling zone or for a preset length of the cooling zone calculation of maximum speed of the film with the preset parameters.