The fracture energy of materials under pulse microsecond-scale loading

Based on the results of fracture in polymethyl methacrylate and a spheroplastic using a magnetic-pulse setup, the specific work of the formation of a new surface is estimated, which is similar to Griffith’s surface energy for quasi-static tests. The value obtained is greater than the corresponding value determined from the quasi-static tests by an order of magnitude and tends to increase as the loading time decreases.     

Sorption of Lower Alcohols with Activated Charcoals

The features of sorption of ethanol, isopropanol, butanol, isobutanol, and tert-butanol with activated charcoals under static conditions were studied.     

Effect of strong magnetic fields on gas adsorption

The effect of strong pulsed magnetic fields on gas adsorption at dielectric surfaces is demonstrated. We describe the experimental technique and the results indicating a considerable increase in the surface concentration of the adsorbed substance under the action of pulsed magnetic fields with an induction amplitude up to 50 T. The increase in the lifetime and stability of the adsorbed layer is observed. It is shown that the effect of magnetically induced sorption is also manifested in the interaction of iodine vapor with the surface of dielectrics.     

Invariant Spaces of Entire Functions

Mathematical Notes - Subspaces of the space of analytic functions on a convex domain in the complex plane that are invariant with respect to the differentiation operator are studied. The problem of...     

Synthesis of dihydrocoumarin carbamate derivatives

The condensation at room temperature in the trifluoroacetic acid of para- and meta-hydroxy-substituted methylphenylcarbamate with cinnamic acids or their esters containing electron-donor substituents in the benzene ring yielded dihydrocoumarins with a carbamate function attached to C⁶ or C⁷. Under similar conditions the methyl(2-hydroxyphenyl)carbamate, cinnamic acids or their esters containing electron-acceptor substituents or electron-donor substituents in the ortho-position of the benzene ring are not involved into the condensation.     

Substantiation of the Possibility of Predicting Behavior of Solids under Extreme Conditions at Various High-Intensity Impacts

The paper is devoted to the data analysis on the amplitude-time regularities of the dynamic failure process of solids under various types of high-intensity impact in the ranges of nonequilibrium states from 3 × 10^?10 to 10^?5 s and establishing general regularities of behavior of unstudied materials under extreme conditions. We have analyzed the process of dynamic destruction of solids of different nature using the method of magnetic-pulse loading in the microsecond range of nonequilibrium states, as well as the dynamic failure process for a number of metals in the mode of pulsed volume heating under the action of pulsed relativistic electron beams in the nanosecond and subnanosecond range of nonequilibrium states. It has been shown that, upon using different methods of pulsed loading in the dynamic longevity range, the failure time as a function of amplitude of applied load has an exponential form for various solid materials. This indicates the scaling nature of the destruction process. The foregoing determines the possibility of predicting the behavior of unstudied solid bodies in the dynamic range of nonequilibrium states.     

A criterion for the fundamental principle to hold for invariant subspaces on bounded convex domains in the complex plane

Let D be a bounded convex domain of the complex plane. We study the problem of whether the fundamental principle holds for analytic function spaces on D invariant with respect to the differentiation operator and admitting spectral synthesis. Earlier this problem was solved under a restriction on the multiplicities of the eigenvalues of the differentiation operator. In the present paper, we lift this restriction. Thus, we present a complete solution of the fundamental principle problem for arbitrary nontrivial closed invariant subspaces admitting spectral synthesis on arbitrary bounded convex domains.     

Three-component synthesis of spiro compounds with a carbamate functionality

1,3-Dipolar cycloaddition of methyl 4-[2-(2-oxo-1,2-dihydro-3H-indol-3-ylidene)acetyl]phenylcarbamate to non-stabilized azomethine ylides generated by decarboxylation of α-amino acid (sarcosine and proline) adducts with ketones (isatin and ninhydrin) occurred regioselectively with formation of the corresponding spiro compounds having a carbamate moiety.