Study on the impact-shear viscosity of block polymers

The temperature dependence of the specific impact viscosity of several amorphous and amorphous-crystalline polymers as measured in tests by means of the authors' impact-cutting method is discussed. It is shown that this dependence agrees fairly well with the mechanical losses determined at the same interaction frequencies and, hence, is sensitive to the relaxation transitions in polymers (an enhanced impact stability corresponds to the transition regions). The similarity mentioned above and the correspondence between the temperature dependences of the density, the Poisson coefficient, and the elasticity modulus suggests that mechanical energy supplied is dissipated by a molecular-motion type including segment motion and relating to melting of the crystallites.S. M. Kirov Leningrad Institute of Textile and Light Industry. Translated from Mekhanika Polimerov, No. 2, pp. 226–230, March–April, 1972.     

Effect of the biochemical composition of the wall of the vessels of the human thigh on its mechanical properties

The principal characteristics of the mechanical properties of the walls of the human femoral artery and great saphenous vein and their variation with age have been experimentally determined. Macroscopic and microscopic analyses have revealed characteristic age-related changes in the artery and vein walls. The concentrations of six principal biochemical components of the vessel walls have been determined for each age group and the rank correlation coefficients for the principal mechanical properties and biochemical components have been analyzed.Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga; Riga Institute of Traumatology and Orthopedics. Translated from Mekhanika Polimerov, No. 2, pp. 316–327, March–April, 1974.     

Mechanical characteristics of medium-sized human blood vessels

Conclusions 1. The authors have developed a method of mechanically testing medium-sized vessels that takes into account their structural characteristics and the properties of the walls. The method is based on obtaining the mechanical characteristics by extending annular and cylindrical specimens and comparing the radial displacements calculated from the mechanical characteristics obtained with the radial displacements obtained by subjecting the vessels to internal pressure and axial tension. A comparison of the experimental and calculated data indicates good agreement.2. As a result of the experiments and calculations, relations are obtained for the moduli of elasticity and Poisson's ratios as functions of the stress level.3. The experimental procedure developed makes it possible not only to take into account the structure of the vessel but also to obtain the stress levels in the vessel walls, using the equilibrium equation.N. É. Bauman Moscow Higher Technical School. Translated from Mekhanika Polimerov, No. 4, pp. 708–711, July–August, 1978.     

Specific heat and mean energy of a Heisenberg ferromagnet in the Green's function method

A system of equations that permits calculation of the longitudinal correlation function in terms of the correlation functions of the transverse spin components is proposed. In the Green's function method, the system permits calculation of the susceptibility, mean energy, and specific heat in the same approximation as the magnetization. The experimental data on the specific heat in Gd and EuS agree qualitatively with the conclusions of the theory.Ural State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 95, No. 1, pp. 127–134, April, 1993.     

Intermolecular interactions in fiber-forming linear polymers and certain of their mechanical properties

Values of the specific volumetric intermolecular interaction energies of a series of linear polymers have been calculated on the basis of data on the interatomic and intermolecular interactions of the functional groups in the polymer molecules. It is shown that the specific volumetric intermolecular interaction energy is closely correlated with the elastic and relaxation properties of the polymers, which makes it possible to predict a series of mechanical properties of chemical fibers.Leningrad Branch, All-Union Scientific-Research Institute of Synthetic Fibers. Translated from Mekhanika Polimerov, No. 5, pp. 790–795, September–October, 1971.     

Degree of deformation and strength of compact bone tissue during torsion

This paper discusses the variation in the deformation and strength properties of compact bone tissue during torsion in various zones of the cross section of human tibia. A correlation has been found between the specific energy of deformation consumed during the loading process and the level of stress attained. The degree of correlation between the deformation and strength properties of the bone tissue has been studied as a function of the concentration of certain biochemical substances in its composition.Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga. Translated from Mekhanika Polimerov, No.5, pp. 911–918, September–October, 1973.     

Energy dissipation in a glass laminate stressed in cyclic tension-compression

An experimental investigation has established that in a glass laminate most of the mechanical losses are converted into thermal energy. The sum of the mechanical losses increases with increase in the fatigue life of the material, the ratio of thermal losses remaining constant under given deformation conditions. Quantitative data are presented for the energy dissipation in various phases of the fatigue fracture process.Institute of Polymer Mechanics, Academy of Sciences of the Latvian SSR, Riga. Translated from Mekhanika Polimerov, No. 4, pp. 655–661, July–August, 1969.     

Mathematical model of muscular contraction with a ccount of excitability

A model of muscular contraetion has been developed which establishes the relationship between normal stresses and longitudinal deformations of the muscle tissue and takes into account its excitability. A transfer function has been proposed for the equation describing the behavior of the muscle as a dynamic system which is controlled by synegisms. The validity of the model has been tested experimentally. The model has been used to develop type-II Lagrange equations for the solution of the basic task of biomechanics for some movements of the human body.Paper presented at the FirstAll-Union Conference on Engineering and Medical Biomechanics, Riga, October, 1975.P. F. Lesgaft State Institute of Physical Culture, Leningrad. Translated from Mekhanika Polimerov, No. 4, pp. 608–612, July–August, 1975.     

Theoretical model of the anisotropy of low-cycle deformability of glass-fiber reinforced plastics

Conclusion A theoretical model is suggested for the anisotropy of low-cycle deformability of glass plastics determined by the anisotropy of the deformational properties of the material in short-term static tension (compression). The effect of the anisotropy of cyclic loss of strength of the deformational properties is taken into account by the introduction of the characterizing function which is taken to be independent of the mechanical properties of the material and of the conditions of low-cycle loading.Translated from Mekhanika Kompozitnykh Materialov, No. 3, pp. 437–442, May–June, 1985.     

Elastic recovery of filled rubber mixtures after extrusion through round ducts

The results of an experimental study on the elastic recovery of filaments of filled rubber mixtures extruded through round ducts of various length are discussed. An empirical relationship which permits the effect of elastic recovery of filaments of a rubber mixture after extrusion from a round duct to be estimated as a function of the relative duct length has been established from the data measured.All-Union Scientific-Research and Technological Design Institute of the Rubber Industry, Volzhskii. Translated from Mekhanika Polimerov, No. 2, pp. 364–268, March–April, 1975.     

一个物体运动的优化模型及应用

建立了一类具广泛应用价值的物体运动非线性泛函优化模型,包括目标泛函,决策函数,约束条件,可行函数空间.决策函数是能量消耗分配函数,可行函数空间中的能量消耗分配函数确定目标泛函值,该模型的最优解是使目标泛函值最大的能量分配函数.这个非线性泛函优化模型,表述了一类物体运动能量转化为机械功的实际问题.例如机动车行驶中如何控制燃料消耗方式,使燃油消耗最少.运动员在赛跑中如何分配体能消耗使成绩最好等.该文从非线性泛函变分及优化理论角度对该模型进行了定量探讨.所得结果可应用于物体运动功能转化相关实际问题中.该文也提出了若干公开问题.     

The application of the genetic algorithm to the minimization of potential energy functions

We adapted the genetic algorithm to minimize the AMBER potential energy function. We describe specific recombination and mutation operators for this task. Next we use our algorithm to locate low energy conformation of three polypeptides (AGAGAGAGA, A9, and [Met]-enkephalin) which are probably the global minimum conformations. Our potential energy minima are –94.71, –98.50, and –48.94 kcal/mol respectively. Next, we applied our algorithm to the 46 amino acid protein crambin and located a non-native conformation which had an AMBER potential energy 150 kcal/mol lower than the native conformation. This is not necessarily the global minimum conformation, but it does illustrate problems with the AMBER potential energy function. We believe this occurred because the AMBER potential energy function does not account for hydration.     

A Lagrangian decomposition approach for the pump scheduling problem in water networks

Dynamic pricing has become a common form of electricity tariff, where the price of electricity varies in real time based on the realized electricity supply and demand. Hence, optimizing industrial operations to benefit from periods with low electricity prices is vital to maximizing the benefits of dynamic pricing. In the case of water networks, energy consumed by pumping is a substantial cost for water utilities, and optimizing pump schedules to accommodate for the changing price of energy while ensuring a continuous supply of water is essential. In this paper, a Mixed-Integer Non-linear Programming (MINLP) formulation of the optimal pump scheduling problem is presented. Due to the non-linearities, the typical size of water networks, and the discretization of the planning horizon, the problem is not solvable within reasonable time using standard optimization software. We present a Lagrangian decomposition approach that exploits the structure of the problem leading to smaller problems that are solved independently. The Lagrangian decomposition is coupled with a simulation-based, improved limited discrepancy search algorithm that is capable of finding high quality feasible solutions. The proposed approach finds solutions with guaranteed upper and lower bounds. These solutions are compared to those found by a mixed-integer linear programming approach, which uses a piecewise-linearization of the non-linear constraints to find a global optimal solution of the relaxation. Numerical testing is conducted on two real water networks and the results illustrate the significant costs savings due to optimizing pump schedules.     

Light absorption and laser-crack development. 2

Conclusions 1. The gray color of a laser crack in PMMA (black in polystyrene) is caused by carbon-black particles that adhere to its walls.2. Further experimentation under an electron microscope is necessary to determine the size of the carbon-black particles. Making use of these new data and the results described here, we can define their absorption index more precisely.3. The absorption index of the gaseous medium between the walls of the crack in a layer 30–100 µ thick is 20 cm^–1; this is 1000 times smaller than that of graphite, but approximately 1000 times greater than that of the ordinary block polymer.4. As a result of photochemical and photothermal reactions, the laser source creates a gray (PMMA) or black (polystyrene) absorbent layer located in the crack and on its walls. Thus, the energy of the laser beam is absorbed due to "self-inductive" opacity. This leads to an increase in the mass of the "gas wedge," to a pressure increase, and ultimately, to crack propagation.For communication 1, see [1].Institute of the Problems of Mechanics, Academy of Sciences of the USSR, Moscow. Translated from Mekhanika Polimerov, No. 3, pp. 409–412, May–June, 1977.     

Comparison of methods of investigating the components of the elongation of textile fibers

Resolving the elongation of textile fibers into its components (rapidly disappearing, slowly disappearing, and residual) provides valuable information on the mechanical properties and makes it possible to predict a series of mechanical characteristics of the fabrics into which they are made. The optimal methods of determining these components are established.Moscow Textile Institute. Translated from Mekhanika Polimerov, No. 3, pp. 444–450, May–June, 1972.     

The synthesis of reliable circuits from unreliable elements

We elicit the necessary and sufficient conditions under which an unreliable functional element with two binary inputs and one binary output is a Sheffer element, i.e., permits us to construct circuits realizing arbitrary functions of the algebra of logic with arbitrarily high reliability.Translated from Matematicheskie Zametki, Vol. 20, No. 3, pp. 391–400, September, 1976.The author thanks S. V. Yablonskii for posing the problem and for valuable advice.     

Effect of the cellular structure on thermal conductivity of rigid closed-cell foam polymers during long-term aging

The thermal conductivity of rigid closed-cell polyurethane foams during long-term aging has been studied. The similarity between the kinetics of changes in the physical and mechanical characteristics of PU foams on progressive aging is established, which is attributed to the effect of matrix destruction. It is found that rigid foams have cell walls of various strength, whose impact on the kinetics of changes in the physical characteristics of the foams during long-term aging is ascertained. The results of predicting the thermal conductivity of PU foams by the method of temperature-time analogy and establishing the limits of its application are discussed. The research presented is of interest both in determining the foam durability and in replacing freons by alternative, ecologically less harmful blowing agents.Translated from Mekhanika Kompozitnykh Materialov, Vol. 35, No. 2, pp. 187–198, March–April, 1999.     

Temperature-invariant dependences for polymer melts

Use of Leonov-Vinogradov model of a polymer melt with rupturing bonds permits obtaining temperature-invariant rheological dependences in the form of a direct connection with the physical constants of the melt, i.e., the activation energy for viscous flow E, the absolute temperature T. and the density . From these, as partial cases, there are obtained temperature-invariant dependences, differing in the form of their statement, which are widely used at the present time.Kalinin Polytechnic Institute. Translated from Mekhanika Polimerov, No. 3, pp. 555–558, May–June, 1970.     

Experimental studies of high order soliton compression effect and gain characteristics in femtosecond laser pulses E3+r-doped fiber amplifier

Seed laser pulses with average power of 146 μW and pulse duration of 480 fs were amplified to 14.5 mW. The pulse duration was compressed to 260 fs using 6 m high concentration E3+r-doped fiber under forward pumping. The amplified signal pulse energy was 0.691 nJ (corresponding to a peak power of 2 657.7 W) and the repetition rate was 20.84 MHz. Spectrum breakup was observed simultaneously. The spectrum of pulses amplified by 3 m E3+r-doped fiber remains a single peak under different pump power. The amplified pulse duration was compressed abnormally with the increasing pump power using the backward pumping; that is, the amplified pulses were compressed with the increasing pump power under low pump power. When the pump power reached 38 mW, the shortest amplified pulse duration was 309 fs. With further increase in pump power, the amplified pulses began broadening, accompanied by a single peak spectrum under different pump power.