Specific Features of Distribution and Relaxation of Elastic Stresses in Homoepitaxial CVD Films of Germanium and Diamond

Crystallography Reports - The real structures of epitaxial CVD films of germanium and diamond have been comparatively analyzed. The influence of the specific features of elastic-stress distribution...     

Misfit Stress Relaxation in α-Ga2O3/α-Al2O3 Heterostructures via Formation of Misfit Dislocations

Physics of the Solid State - A theoretical model of misfit stress relaxation in film/substrate α-Ga2O3/α-Al2O3 heterostructures with allowance for lattice anisotropy of heterostructure...     

Ray Statement of the Acoustic Tomography Problem

Doklady Mathematics - The ray statement of the inverse problem of determining three unknown variable coefficients in the linear acoustic equation is studied. These coefficients are assumed to...     

On Justification of the Gelfand–Levitan–Krein Method for a Two-Dimensional Inverse Problem

Siberian Mathematical Journal - For a hyperbolic equation of the second order, we consider the inverse problem of recovering the coefficient $ q(x,y) $ in this equation. We discuss the...     

One-Pot Synthesis of Diethyl 2-Aryl-3-(trifluoroacetyl)-cyclopropane-1,1-dicarboxylates

Russian Journal of Organic Chemistry - The reaction of 4-aryl-3-bromo-1,1,1-trifluorobut-3-en-2-ones with diethyl malonate afforded diethyl 2-aryl-3-(trifluoroacetyl)cyclopropane-1,1-dicarboxylates...     

One-Pot Synthesis of Quaternary Phosphonium Salts Based on Tertiary Phosphines and (R)-(+)-Pulegone

Russian Journal of General Chemistry - As a result of reactions of nucleophilic addition of tertiary phosphines to pulegone in the presence of hydrochloric acid, quaternary phosphonium salts were...     

Reaction of N′-(Arylmethylidene)-2-oxo-2H-chromene-3-carbohydrazides with Methyl 1-Bromocycloalkanecarboxylates and Zinc

Russian Journal of General Chemistry - Depending on the ring size in the Reformatsky reagent and the nature of substituents in arylmethylidene fragment, the reactions of Reformatsky reagents...     

Static statement of the stability problem under creep

In technological processes of rod bending, the critical time is determined [1] by the criterion of unbounded increase A → ∞ in the bent axis amplitude, which is equivalent to the requirement A ? A ₀, where A ₀ is value of the amplitude at the initial time t = 0. In this case, the mathematical models of the process of buckling of rods and plates [2] are constructed in the framework of the theory of small displacements. This contradiction can be removed by the assumption that the critical state is realized for deflections A of the order of several A ₀, i.e., at the time instant corresponding to a sharp increase in displacements. Naturally, this assumption is of local character, because the instant of the transition to the accelerated increase in deflections depends on specific conditions such as, for example, the support conditions, the creep coefficient, the type of the system imperfectness, the value of A ₀, and the eccentricity of the load application.In what follows, we show that, in the case of longitudinal bending (buckling), the time instant directly preceding the beginning of the catastrophic increase in deflections can be determined by the variation in the phase volume of the system.     

Breaking of gravity waves in a neighborhood of their second critical propagation speed

Experimental data on gravity shallow-water waves generated by a vertical plate moving in a predetermined manner are given. The plate completely covers the cross section of the channel. It is found that with when the wave speed exceeds the first critical value known in hydraulics, the wave retains smoothness. Breaking of the waves begins at the second critical speed (which is about 1.3 times as high), whose value coincides with the limiting propagation speed of a solitary wave. Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090. Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 39, No. 2, pp. 52–58, March–April, 1998.