Search

We analyze an equilibrium problem for an elastic body with an incorporated thin elastic inclusion delaminated from the surrounding elastic body with inequality type boundary conditions at the crack faces. Neumann type conditions are imposed at the external boundary of the elastic body, which means the noncoercivity of the problem. Assuming that the elasticity tensor depends on a positive parameter, we study the asymptotic behavior of the solutions as the parameter tends to zero and to infinity. The limit models describe an equilibrium state of the elastic body with a rigid inclusion and with a cavity. We establish the existence of a solution in all the cases under consideration. [ABSTRACT FROM AUTHOR]

A variational inequality describing an elastic body with a finite set of rigid inclusions is considered. The Signorini condition is imposed on a part of the boundary of the body. On the other part a homogeneous Dirichlet boundary condition is specified. The inclusions are arranged such that distance between any two inclusions is not less than a given positive number. All inclusions are located at a nonzero distance from the outer boundary. An inverse problem is investigated, which consists in identification of positions of the rigid inclusions from the measurement of displacements on an observation boundary. Continuous dependency of the solution of the forward problem on parameters of inclusions' location and rotation is established. This provides existence of a solution for the inverse identification problem. [ABSTRACT FROM AUTHOR]

Water insoluble calcium hydroxide Ca(OH)2 or calcium carbonate CaCO3 react with aqueous solution of (1-hydroxyethylidene)diphosphonic acid and nitrilotrimethylenephosphonic acid to form poorly soluble calcium (1-hydroxyethylidene)diphosphonate trihydrate and calcium nitrilotrimethylenephosphonate trihydrate, respectively. The reaction of calcium chloride CaCl2 with the disodium salt of ethylenediaminetetraacetic acid afforded poorly soluble calcium ethylenediaminetetraacetate hexahydrate. The reaction of suspensions of complexes of (1-hydroxyethylidene)calcium diphosphonate trihydrate, calcium ethylenediaminetetetraacetate hexahydrate and calcium nitrilotrimethylenephosphonate trihydrate with 2-aminoethanol led to the formation of water-soluble (1-hydroxyethylidene)bis(2-aminoethanol)calcium diphosphonate, tris(2-aminoethanol)calcium nitrilotrimethylenephosphonate, and bis(2-aminoethanol)calcium ethylenediaminetetraacetate, respectively. The molecular structure of calcium ethylenediaminetetraacetate hexahydrate was characterized by single-crystal X-ray diffraction method. [ABSTRACT FROM AUTHOR]

A new mathematical model describing an equilibrium of an elastic Kirchhoff-Love plate is proposed. We suppose that the plate may come into contact on the side edge with a rigid obstacle. On a given part of the closed curve corresponding to the plate side edge we impose clamping conditions and on the rest part of the curve we consider a nonpenetration condition of the Signorini type. The rigid obstacle is defined by cylindrical surface with generators normal to the plate midplane. In addition, the plate has a flat rigid inclusion (stiffener) on the side edge. The inclusion also defined by a cylindrical surface. The peculiarity of the problem is related to the partial delamination of the inclusion on the contact surface. Boundary conditions of an inequality type ensure nonpenetration of the plate points and the obstacle as well as for points of an elastic matrix and inclusion points. Solvability of the problem is proved. Under the assumption that the solution of the variational problem is smooth enough, optimality conditions on the contact boundary are found. [ABSTRACT FROM AUTHOR]

Two models are considered, which describe the equilibrium state of an inhomogeneous two-dimensional body with two connected rigid inclusions. The first model corresponds to an elastic body with two-dimensional rigid inclusions located in regions with a constant width (curvilinear rectangle and trapezoid). The second model involves thin inclusions described by curves. In both models, it is assumed that there is a crack described by the same curve on the interface between the elastic matrix and rigid inclusions. The crack boundaries are subjected to a one-sided condition of non-penetration. The dependence of the solutions of equilibrium problems on the width of two-dimensional inclusions is studied. It is shown that the solutions of equilibrium problems in the presence of two-dimensional inclusions in a strong topology are reduced to the solutions of problems for thin inclusions with the width parameter tending to zero. [ABSTRACT FROM AUTHOR]

Poorly soluble zinc ethylenediaminetetraacetate zincate Zn[ZnL] reacts with sodium Na4L, potassium K4L, ammonium (NH4)4L, 2-ammonioethanol (H3NCH2CH2OH)4L, and hexamethylene-1,6-diammonium {H3N(CH2)6NH3}2L salts of ethylenediaminetetraacetic acid H4L to give readily soluble sodium Na2[ZnL], potassium K2[ZnL], ammonium (NH4)2[ZnL], 2-ammonioethanol (H3NCH2CH2OH)2[ZnL], and hexamethylene-1,6-diammonium {H3N(CH2)6NH3}[ZnL] ethylenediaminetetraacetate zincates. The reaction of tetrakis(triethylammonium) salt {(C2H5)3NH}4L with Zn[ZnL] does not give the expected bis(triethylammonium) ethylenediaminetetraacetate zincate {(C2H5)3NH}2[ZnL], but gives instead mono(triethylammonium) ethylenediaminetetraacetate zincate, {(C2H5)3NH}H[ZnL]; in aqueous solution, this product generates poorly soluble zinc ethylenediaminetetraacetate H2[ZnL(H2O)]·2H2O, which was studied by X-ray diffraction (CCDC no. 2172274). [ABSTRACT FROM AUTHOR]

Tetrabasic ethylenediaminetetraacetic acid H4L binds two molecules of monobasic amines to give the corresponding salts: ethylenediaminetetraacetates of bis(monoethanolaminium) H2L2–⋅2+H3NCH2CH2ОН, tris(hydroxymethyl)methylaminium H2L2–⋅2+H3NС(CH2ОН)3⋅3H2О, diethylaminium H2L2–⋅2+H2N(C2H5)2⋅H2О, tert-butylaminium H2L2–⋅2+H3NС(CH3)3⋅5H2О, and triethanolaminium H2L2–⋅2+HN(CH2CH2ОH)3. Dibasic hexamethylene-1,6-diamine, triethylenediamine, and tetramethylethylenediamine form the following 1 : 1 adducts: H2L2–⋅+NH3(CH2)6NH , H2L2–⋅+NH3CH2CH2(OCH2CH2)2NH , H2L2–⋅ +HN(CH2CH2)3NH+⋅H2О, and H2L2–⋅+H(CH3)2NCH2CH2N(CH3)2H+. The molecular structures of bis(monoethanolaminium) ethylenediaminetetraacetate and bis[tris(hydroxymethyl)methylaminium] ethylenediaminetetraacetate trihydrate were determined. [ABSTRACT FROM AUTHOR]

A new variational problem on the equilibrium of a thermoelastic heterogeneous Kirchhoff-Love plate is considered in a domain with a cut. The cut corresponds to an interfacial crack located on a part of the boundary of a rigid inclusion. We suppose that the plate is under the special loads for which the configuration of crack's edges is known a priori. This assumption allows us to rewrite the well known nonpenetration condition for Kirchhoff-Love plates in a refined form, which, in turn, leads to new relations describing the possible mechanical interaction of opposite crack edges. Displacements on the rigid inclusion satisfy special constraints having a linear form. Solvability of the problem is proved, an equivalent differential statement is found. [ABSTRACT FROM AUTHOR]

We study the optimal control problem for nonlinear mathematical models describing the equilibrium state of an inhomogeneous body, where the nonlinearity is caused by the Signorini contact condition. We establish the solvability of the optimal control problem and prove that the equilibrium problem for an elastic body with two joined rigid inclusions is the limit for a family of equilibrium problems for bodies with two separate inclusions. [ABSTRACT FROM AUTHOR]

A new model describing the equilibrium of a Kirchhoff–Love plate which may come into mechanical contact with a rigid non-deformable obstacle is proposed. Unlike previous works, we consider the case when a contact is possible on curves located at the intersection of the side face of the plate and two obstacle surfaces that bound the plate from above and below. A boundary condition of Signorini's type is imposed in the form of two inequalities restricting plate displacements. An equilibrium problem describing the contact of the plate with the rigid obstacle is formulated as a minimization problem for an energy functional over a suitable convex and closed set of admissible displacements. It is proved that the problem has a unique solution. [ABSTRACT FROM AUTHOR]

A preparation of basic manganese carbonate containing manganite MnO(OH), rhodochrosite MnCO3, and bixbyite Mn2O3 reacts with nitrilotriacetic acid to give low-solubility manganese compound Mn[N(CH2COO)2(CH2COOH)] · 2H2O (manganese nitriloacetate dihydrate) in the form of whisker microcrystals. An alternative method for the preparation of the compound is the reaction of manganese(ii) sulfate with nitrilotriacetic acid disodium salt. This compound can be converted into a water-soluble form by the treatment with organic amines as solubility promoters. The effect of the manganese-containing compounds on the biometric parameters of seedlings of the Zlata spring wheat was studied. [ABSTRACT FROM AUTHOR]

We consider a new problem of managing a macroeconomic system with a linearly homogeneous production function taking into account the balance equation. The annual gross income is divided into investment and consumption, while the volume of the total consumption is proportional to labor resources. The optimal control criterion is the total value of gross income for a given time interval. As a research apparatus, we apply the maximum principle. As a result, the optimal control problem is reduced to a variational problem with a nonholonomic constraint. Its solution is expressed in terms of the quadrature of the Cauchy problem for one equation with separated variables. The values of coefficients of proportionality of consumption, tax, and depreciation deductions ensuring the nondecline in fixed assets are found. A system with the Cobb–Douglas production function is considered as an example. [ABSTRACT FROM AUTHOR]

A suspension of sparingly soluble zinc (1-hydroxyethylidene)diphosphonate ZnH2L•2H2O (H4L = MeC(OH)[P(O)(OH)2]2) is rapidly transformed into an aqueous solution when treated with ammonia or aliphatic amines (hexamethylenediamine, triethylamine, tert-butylamine, di-n-butylamine) containing no hydrophilic groups −OH and −(OCH2CH2)n−. The dissolution effect is due to the decomposition of the coordination polymer giving ammonium derivatives. Dehydrated dry powders of the corresponding ammonium compounds based on triethylamine, tert-butylamine, or di-n-butylamine rapidly dissolve in water to form transparent colorless solutions, whereas hexamethylenediamine and ammonia derivatives are poorly soluble. (1-Hydroxyethylidene)diphosphonic acid forms ammonium salts with hexamethylenediamine, triethylamine, and tert-butylamine. The molecular structures of these compounds are considered. [ABSTRACT FROM AUTHOR]

Reactions of nitrilotriacetic acid with 2-aminoethanol, 2-amino-2-(hydroxymethyl)propane-1,3-diol, and 2,2'-(ethylenedioxy)bis(ethylamine) afford the following salts in high yields: 2-ammonioethanol nitrilotriacetate [HN+(CH2COO–)2(CH2COOH) ⋅ H3N+CH2CH2OH]n, bis{2-ammonio-2-(hydroxymethyl)propane-1,3-diol} nitrilotriacetate HN+(CH2COO–)3 ⋅ 2H3N+C(CH2 OH)3, and 2,2'-(ethylenedioxy)bis(ethylammonium) nitrilotriacetate HN+(CH2COO–)3 ⋅ H3N+CH2CH2OCH2CH2OCH2CH2N+H3. The molecular structures of 2-ammonioethanol nitrilotriacetate and bis{2-ammonio-2-(hydroxymethyl)propane-1,3-diol} nitrilotriacetate were determined. Nitrilotriacetic acid molecules in 2-ammonioethanol nitrilotriacetate are linked by O⋅⋅⋅H⋅⋅⋅O hydrogen bonds involving acid groups of adjacent molecules to form a polymer chain. On the contrary, nitrilotriacetic acid molecules in bis{2-ammonio-2-(hydroxymethyl)propane-1,3-diol} nitrilotriacetate do not form polymer chains. In the crystals of both compounds, adjacent molecules are linked by numerous O⋅⋅⋅H interactions to form infinite 3D frameworks. [ABSTRACT FROM AUTHOR]

The equilibrium problem for an elastic body having an inhomogeneous inclusion with curvilinear boundaries is considered within the framework of antiplane shear. We assume that there is a power-law dependence of the shear modulus of the inclusion on a small parameter characterizing its width. We justify passage to the limit as the parameter vanishes and construct an asymptotic model of an elastic body containing a thin inclusion. We also show that, depending on the exponent of the parameter, there are the five types of thin inclusions: crack, rigid inclusion, ideal contact, elastic inclusion, and a crack with adhesive interaction of the faces. The strong convergence is established of the family of solutions of the original problem to the solution of the limiting one. [ABSTRACT FROM AUTHOR]

Nitrilotris(methylenephosphonic)acid N[CH2P(O)(OH)2]3 (H6L) reacts with zinc oxide in an aqueous medium to give a poorly soluble polymeric crystalline salt (ZnH4L)n. The reaction proceeds through the intermediate formation of a soluble monomer complex ZnH4L. The water-soluble amorphous forms of the coordination compound used as microfertilizers were obtained by treatment of a suspension of this salt with 2-aminoethanol, 2-amino-2-(hydroxymethyl)propane-1,3-diol, 2,2′-(ethylenedioxy)bis(ethylamine). p-Aminobenzoic acid H2NC6H4COOH reacts in an aqueous solution with hexabasic nitrilotrimethylenephosphonic acid, as well as with the monomeric complex ZnH4L, giving crystals of bis(4-carboxyphenylaminium) nitrilotris(methylenephosphonate) dihydrate H4L2− · 2(H3N-C6H4-COOH)+ · 2H2O. The compounds were investigated by elemental analysis, IR and UV spectroscopy, X-ray phase analysis and X-ray diffraction analysis. Tests of the water-soluble complex with 2-aminoethanol ZnHL3− · 3(H3NCH2CH2OH)+ · 2H2O in the laboratory experiment with seeds of two agricultural crops showed a positive agronomic effect. [ABSTRACT FROM AUTHOR]

Under consideration are the variational problems concerning the equilibrium of plates containing a crack. Two new mathematical models are proposed in which the nonpenetration conditions define the corresponding nonconvex sets of admissible functions. The first model describes the equilibrium of a Timoshenko plate with a crack, and the second corresponds to a composite plate containing a crack along a Kirchhoff–Love elastic inclusion. The proposed approach is substantiated by an explicit example. We prove the existence of solutions for the corresponding variational problems and show that the equilibrium equations are satisfied for each of the problems. [ABSTRACT FROM AUTHOR]

Reversible martensitic phase transformations in a partially disordered Ni–Al alloy within the composition range from 60 to 65 at. % of Ni are investigated using molecular dynamics simulation. During a complete temperature cycle a wide hysteresis in enthalpy, volume, and shape of the simulated crystals is observed. The temperature T0 of the phase transformation is found from the calculated free energy evolution. To investigate the atomic-scale development during the phase transformation a local order parameter is defined which is based on a combined method of Voronoy tessellation [J. Reine Angew. Math. 134, 198 (1908)] with common-neighbor analysis. This local order parameter allows us to get a detailed localized picture of nucleation and growth of the new phases. Both homogeneous formation of the new phase and heterogeneous nucleation are observed. The velocity of new phase growth front is estimated. [ABSTRACT FROM AUTHOR]

Temperature dependences of the saturated vapor pressure of lanthanum complexes based on 2-(2-benzoxazol-2-yl)phenolate ligand have been obtained using the Knudsen effusion method. The thermodynamic parameters of vaporization have been calculated from the p−T data. Mass spectra and differential scanning calorimetry data have been obtained. [ABSTRACT FROM AUTHOR]

Under study is some two-dimensional model describing equilibriumof a composite solid with a thin rigid inclusion and a crack. A boundary condition of Signorini's type is prescribed on the crack curve. For a family of corresponding variational problems, the dependence is analyzed of their solutions on the parameter characterizing the location of the rigid inclusion. The existence of solution of the optimal control problem is proved. For this problem, the quality functional is defined with the help of an arbitrary continuous functional on the solution space, while the location of the inclusion is chosen as the control parameter. [ABSTRACT FROM AUTHOR]

Abstract: A new complex of hexaammonium bis(1-oxyethylidenediphosphonate)dioxomolybdenum tetrahydrate (NH4)6[MoO2(L)2] · 4H2O (I) (H4L is H2O3P-C(OH)(CH3)-PO3H2) is synthesized. Its molecular structure consisting of the complex anion [MoO2L2]6-, six out-of-sphere ammonium cations , and four water molecules is determined by X-ray diffraction analysis (CIF file CCDC no. 813517). The solubility of complex I is studied. The changes in the IR absorption spectra upon complex formation are discussed. [ABSTRACT FROM AUTHOR]

We consider the equilibrium problem for plates with cracks located along rigid inclusions and analyze the dependence of the solution and the derivative of the energy functional on variations of the inclusion size. We establish the solvability of the optimal control problem, where the quality functional is given by the derivative of the energy functional, whereas the control parameter correspond to the inclusion size. A similar analysis is performed for the equilibrium problems for inhomogeneous plates with rigid delaminated inclusions. [ABSTRACT FROM AUTHOR]

The mathematical models describing equilibrium of cracked elastic plates with rigid thin stiffeners on the outer boundary are studied. On the crack faces the boundary conditions are specified in the form of inequalities which describe the mutual nonpenetration of the crack faces. We analyze the dependence of solutions on the length of the thin rigid stiffener reinforcing the cracked Kirchhoff-Love plate on the outer edge. The existence is proved of the solution to the optimal control problem. For this problem the cost functional is defined by an arbitrary continuous functional, while the length parameter of the thin rigid stiffener is chosen as a control function. [ABSTRACT FROM AUTHOR]

Under consideration is the equilibrium of a composite plate containing a through vertical crack of variable length at the interface between thematrix and the elastic inclusion. The deformation of the matrix is described by the Timoshenko model, and the deformation of the elastic inclusion, by the Kirchhoff-Love model. Some formula is obtained for the derivative of the energy functional with respect to the crack length. [ABSTRACT FROM AUTHOR]

The reaction of an aqueous suspension of basic cobalt carbonate CoCO·4Co(OH)·3HO with equimolar amount or two-fold excess of 1-hydroxyethylydenediphosphonic acid (HL) has yielded crystalline CoHL and amorphous Co(HL) products, respectively. The interaction of poorly soluble CoHL complex with 2-aminoethanol has resulted in the formation of amorphous water-soluble CoHL·HNCHCHOH·6НО complex; the latter loses 5 water molecules at heating and is converted into CoHL·HNCHCHOH·НО. The study of agrochemical effects of Co(HL) and CoHL·HNCHCHOH·6НО has revealed their advantage over the conventional salt form (cobalt sulfate) reflected in the reduced phytotoxicity of the element. The prepared compound containing 2-aminoethanol (solubility promotor) has revealed better performance. [ABSTRACT FROM AUTHOR]

The equilibrium problems for two-dimensional elastic body with a rigid delaminated inclusion are considered. In this case, there is a crack between the rigid inclusion and the elastic body. Non-penetration conditions on the crack faces are given in the form of inequalities. We analyze the dependence of solutions and derivatives of the energy functionals on the thickness of rigid inclusion. The existence of the solution to the optimal control problem is proved. For that problem the cost functional is defined by derivatives of the energy functional with respect to a crack perturbation parameter while the thickness parameter of rigid inclusion is chosen as the control function. [ABSTRACT FROM AUTHOR]

The equilibrium problems for homogeneous and inhomogeneous plates with a crack is considered. We impose the nonpenetration condition, which has the form of inequality (such as Signorini type condition), on the crack faces. In this paper, we deal with the cases that the crack intersects the external boundary at zero angle (on the mid-plane). Using the fictitious domain method, we establish the unique solvability of four equilibrium problems for different cases of non-Lipschitz domains. In these cases a precise connection between equilibrium problems for a plate contacting with a rigid obstacle and for a plate with a crack is identified. [ABSTRACT FROM AUTHOR]

This paper describes the dependence of the solution of the equilibrium problem for a Timoshenko plate and the total energy functional of the plate on the perturbation of an oblique crack. The nonlinearity of the problem is caused by the boundary conditions in the form of inequalities (conditions such as the Signorini conditions), which describe mutual nonpenetration of the opposite crack faces. The continuous dependence of the solution of the problem on the perturbation of the crack length is established. A formula for the energy functional derivative of the perturbation of the crack length is obtained. [ABSTRACT FROM AUTHOR]

An equilibrium problem for an elastic Timoshenko-type plate containing a rigid inclusion is considered. On the interface between the elastic plate and the rigid inclusion, there is a vertical crack. Inequality-type boundary conditions are imposed at the crack faces to guarantee mutual nonpenetration. By using a sufficiently smooth perturbation determined in the middle plate plane, the variation of plate geometry is specified. The formula of the derivative of the plate energy functional with respect to the perturbation parameter is deduced. [ABSTRACT FROM AUTHOR]

We consider the nonlinear equilibrium problem for a plate subject to the Signorini condition on a part of the boundary. We construct a family of auxiliary problems in extended domains such that solutions of the auxiliaries problems converge to a solution of the Signorini problem. Each problem of this family describes the equilibrium state of a plate containing a crack. A boundary nonpenetration condition in the form of an inequality is imposed on the crack. We also discuss the equivalent differential statement of the problem. Bibliography: 11 titles. Illustrations: 3 figures. [ABSTRACT FROM AUTHOR]

The temperature dependences of the pressure of saturated vapor of pyrazolone complexes of rare-earth elements Ln(PMIP) (where Ln = Y, Ho, Er, Tm, Lu; PMIP = 1-phenyl-3-methyl-4-isobutyryl-5-pyrazolone) are studied via Knudsen effusion, and the enthalpy of their sublimation is determined. Mass spectra and differential scanning calorimetry data are obtained. [ABSTRACT FROM AUTHOR]

The sublimation of 1-phenyl-3-methyl-4-isobutyryl-5-pyrazolonate complexes of neodymium and terbium was studied by the Knudsen effusion method with mass spectrometric gas phase monitoring. The gas phase was shown to contain only monomeric molecular species. The sublimation enthalpy (kJ/mol) for Nd complex is 205.9 ± 2.7 and that for the Tb complex is 208.0 ± 4.0. [ABSTRACT FROM AUTHOR]

We consider the variational problem of equilibrium of an elastic plate (the Timoshenko model) containing a crack. On the curve describing the crack, we impose boundary conditions in the form of inequalities. We study the dependence of the solutions on the curve shape. We prove the existence of an extremal curve shape and show that the solutions weakly converge in the Sobolev space as the parameter describing the crack shape tends to zero. The convergence is strong if the external forces satisfy the Lipschitz condition. Bibliography: 19 titles. Illustrations: 1 figure. [ABSTRACT FROM AUTHOR]

The condition of mutual nonpenetration of the crack faces is proposed for a Timoshenko plate with an oblique crack, whose initial state is defined by a surface the normal to which makes a small angle with the middle plane. Unique solvability of the variational problem of plate equilibrium with the nonpenetration conditions for the crack faces specified on the curve describing the crack is proved. A differential formulation of the problem equivalent to the original formulation for sufficiently smooth solutions is proposed. For the one-dimensional case (beam with a cut), an analytical solution is obtained, and the cases of longitudinal tension and compression are examined. [ABSTRACT FROM AUTHOR]

Ferroresonance phenomena in distributing networks with an insulated neutral caused by electromagnetic measuring voltage transformers and connecting cables are studied. Procedures for limiting and nonadmission of ferroresonance overvoltages and overloads of the equipment are proposed. [ABSTRACT FROM AUTHOR]

A problem of equilibrium of a composite plate consisting of a matrix and an elastic inclusion with a through crack along the boundary of this inclusion is studied. The matrix deformation is described by the Timoshenko model, and the elastic inclusion deformation is described by the Kirchhoff-Love model. Conditions of mutual non-penetration of the crack edges are imposed on the curve that describes the crack. Unique solvability of the variational problem is proved. A system of boundary conditions on the curve bounding (in the mid-plane) the elastic inclusion is obtained. A differential formulation of the problem equivalent to the initial variational formulation is given. [ABSTRACT FROM AUTHOR]

We study the variational problem of minimizing the energy functional of an elastic isotropic plate with a crack. Boundary conditions are stated in the form of inequalities, and nonpenetration conditions are imposed on the crack. We also consider the problem with a prescribed angle of bending of one of the crack banks and show that differential and variational statements of this problem are equivalent. Bibliography: 11 titles. Illustrations: 1 figure. [ABSTRACT FROM AUTHOR]

Under study is the nonlinear equilibrium problem for an elastic Timoshenko-type shallow shell containing a through crack. Some boundary conditions in the form of inequalities are imposed on the curve defining the crack. We establish the unique solvability of the variational statement of the nonlinear problem of the equilibrium of a shell. We prove that, for sufficient smoothness of the solution, the initial variational statement is equivalent to the differential formulation of the problem. We deduce the boundary conditions on the inner boundary that describes the crack. In the case of the zero opening of the crack, we prove the local infinite differentiability of the solution function with additional assumptions on the functions defining the curvatures of the shell and the external loads. [ABSTRACT FROM AUTHOR]

A new class of Sc, Eu, and Tb complexes with N,O-chelate ligands was synthesized for the first time. The mass spectra, thermogravimetric analysis, differential scanning calorimetry data, as well as the data on the saturated vapor pressure of the compounds were obtained. The main thermochemical parameters of the compounds were calculated. [ABSTRACT FROM AUTHOR]

The variational formulation of the equilibrium problem for a Timoshenko plate containing a vertical plane crack is considered. Nonpenetration conditions in the form of inequalities (Signorini type conditions) are specified on the crack faces. The behavior of the solution and the corresponding energy functional of the plate with variation in the crack length is analyzed. A formula for the derivative of the energy functional along the crack length is obtained. The solutions are found to continuously depend on the parameter characterizing the crack length. [ABSTRACT FROM AUTHOR]

The synthesis and the studies of properties of diphenyl[dialkyl(alkyl)carbamoylmethyl]phosphine oxides by differential scanning calorimetry, mass spectrometry and Knudsen effusion method were performed. The thermodynamic parameters of melting and vaporization were calculated. [ABSTRACT FROM AUTHOR]

A variational problem of equilibrium of an elastic Timoshenko-type plate in a domain with a slit is considered. A nonpenetration boundary condition in the form of an inequality is specified on the edges of the slit. A penalized equation and an iterative linear equation in integral and differential forms are constructed. Some results on solution convergence and an error estimate are obtained. [ABSTRACT FROM AUTHOR]

A mathematical model is developed to investigate the controlled switching of unloaded transformers. Algorithms of controlled switching that eliminate inrush currents and, vice versa, providing the highest inrush currents for testing, are proposed. The influence of the switch capacity on the character of the recovery voltage is analyzed. [ABSTRACT FROM AUTHOR]

The switching conditions of nonloaded transformers have been investigated to understand the effect of current inrushes and limitations by considering the connecting circuit of the windings, magnetization performances, contact parameters, type of switcher drive, and the value and sign of residual magnetization. The peak-switching currents have been calculated, simulated, and measured and the results have been compared. The obtained results make it possible to increase the power efficiency of the facility by decreasing the losses and maintainign the quality factor of electric power in transient modes. [ABSTRACT FROM AUTHOR]

Saturated vapor pressure of lithium pentafluorophenolate and the lanthanide complexes as a function of temperature has been determined by the Knudsen effusion method. Processing of the pressure data allowed the calculation of thermodynamic parameters of the compounds sublimation. Mass spectra and differential scanning calorimetry data are presented. [ABSTRACT FROM AUTHOR]

In this report, the purpose and status of the currently constructed ITEP experimental accelerator driven system (XADS) are discussed. This hybrid electro-nuclear facility of moderate power integrates the pulse proton linac (36 MeV, 0.5 mA) and heavy water sub-critical blanket assembly (heat power of 100 kW). Most parts of the equipment units are ordered for industrial manufacturing and some are under development. The facility is supposed to be used for investigations of a wide range of problems concerning both the target-blanket assembly and the accelerator-driver and at the same time explore the dynamical processes arising during their combined operation. Some other applications of the proton beam and neutron source are also discussed. It is possible in future to increase the current and energy of proton or heavy ion beam. [ABSTRACT FROM AUTHOR]