Другие журналы

Zarubin
Estimating the Elastic Properties of the Carbon NanotubeReinforced Composite Matrix
Engineering Education # 09, September 2016 DOI: 10.7463/0916.0844318 pp. 155170
A Comparative Analysis of Approaches to Heat Transfer Description in a Disperse Inclusions Composite
Engineering Education # 02, February 2016 DOI: 10.7463/0216.0833954 pp. 182195
Temperature Condition and Spherical Shell Shape Variation of Space GaugeAlignment Spacecraft
Aerospace Scientific Journal # 01, January 2016 DOI: 10.7463/aersp.0116.0831867 pp. 2745
Mathematical Modeling of the Thermal Shell State of the Cylindrical Cryogenic Tank During Filling and Emptying
Mathematics and Mathematical Modelling # 06, December 2015 DOI: 10.7463/mathm.0615.0829350 pp. 4460
Local Temperature Distribution on the Spacecraft Surface under Uneven Solar Radiation
Aerospace Scientific Journal # 05, September 2015 DOI: 10.7463/aersp.0515.0820883 pp. 4963
Dielectric Permeability of Anisotropic Fiber MeshReinforced Composite
Radiooptics # 06, November 2015 DOI: 10.7463/rdopt.0615.0816600 pp. 88104
Mathematical Modeling of Dielectric Characteristics of the Metallic Band Inclusion Composite
Mathematics and Mathematical Modelling # 05, October 2015 DOI: 10.7463/mathm.0515.0815604 pp, 6482
TwoSided Estimates of Thermoelastic Characteristics of Dispersed Inclusion Composites
Engineering Education # 09, September 2015 DOI: 10.7463/0915.0811479 pp. 318335
Permittivity of Composite with Metallic Inclusions as an Ellipsoid of the Rotation
Radiooptics # 04, July 2015 DOI: 10.7463/rdopt.0415.0811296
Mechanically Interacting Bimetallic Shell Walls of the Liquid Rocket Engine Chamber Under Diffusion Soldering
Aerospace Scientific Journal # 04, July 2015 DOI: 10.7463/aersp.0415.0800092 pp. 5163
Estimating Electrophysical Properties of the Composite with Dielectric Matrix and Dispersed Conductive Inclusions
Radiooptics # 03, May 2015 DOI: 10.7463/rdopt.0315.0800066 pp. 5167
Mathematical Modeling of Electrical Conductivity of Dielectric with Dispersed Metallic Inclusions
Mathematics and Mathematical Modelling # 03, June 2015 DOI: 10.7463/mathm.0315.0793596 pp. 59–72
Temperature State of Noncooled Nozzle Adjutage of Liquid Rocket Engine
Aerospace Scientific Journal # 03, May 2015 DOI: 10.7463/aersp.0315.0793049 pp. 616
A Variational Approach to the Estimate of the Permittivity of a Composite with Dispersed Inclusions
Mathematics and Mathematical Modelling # 02, April 2015 DOI: 10.7463/mathm.0215.0769483 pp. 3749
Estimate of permittivity of anisotropic composites with lamellar inclusions by the selfassessment method
Mathematics and Mathematical Modelling # 01, February 2015 DOI: 10.7463/mathm.0115.0776021 pp. 3648
SelfConsistency Method to Evaluate a Linear Expansion Thermal Coefficient of Composite with Dispersed Inclusions
Engineering Education # 02, February 2015 DOI: 10.7463/0215.0757059 pp 197215
Twosided Estimates of Effective Thermal Conductivity of the Composite with Anisotropic Lamellar Inclusions
Engineering Education # 11, November 2014 DOI: 10.7463/1114.0737893 pp. 708723
Mathematical simulation of heat transfer in unidirectional fiber composite
Engineering Education # 01, January 2014 DOI: 10.7463/0114.0657262 In order to justify a reliable application domain for the calculation dependence which allows one to determine the effective heat conductivity coefficient of transversely isotropic unidirectional fiber composite in the plane perpendicular to the fibers; a mathematical model of heat transfer in representative elements of this composite’s structure was created. An ordered arrangement of parallel fibers was considered for the case when their centers coincide with the nodes of cross sectional plane grid with square cells or cells in the form of equilateral triangles. Quantitative analysis of developed mathematical model was performed using the finite element method with controlled integrated computational error. Presented results are important for assessing the temperature condition and efficiency of heatstressed structures made of unidirectional fiber composite.
Evaluation of effective thermal conductivity of unidirectional fiber composites by the method of selfconsistency
Engineering Education # 11, November 2013 DOI: 10.7463/1113.0622927 The selfconsistency method was used to estimate the components of a thermal conductivity tensor of unidirectional fiber composite, which is transversally isotropic with respect to an axis arranged parallel to the fibers. In this method it is possible to estimate effective values of parameters for the composite as a whole by averaging the perturbed distributions of the parameters over the elements of the composite structure and equating averaged results to zero. A perturbed temperature field and heat flux density distribution over the fibers and composite matrix were calculated on the basis of the developed mathematical models of heat interaction between these elements of the structure and a transversely isotropic homogeneous material which has required coefficients of thermal conductivity. For validation of the final calculated dependences, bilateral estimates based on dual variation formulation of the stationary problem of heat conduction in an inhomogeneous solid body were used. The calculated dependencies can be used for forecasting effective thermal conductivity of unidirectional fiber composites.
Evaluation of effective thermal conductivity of composites with ball inclusions by the method of selfconsistency
Engineering Education # 09, September 2013 DOI: 10.7463/0913.0601512 The method of selfconsistency was applied to obtaining an estimate of the effective value of thermal conductivity of a composite with ball inclusions. This method was based on averaging of parameters of a perturbed temperature field in elements of a composite structure. The perturbed temperature field in inclusions and ball particles of the composite matrix was found by solving the steadystate heat conduction problem formulated on the basis of a constructed mathematical model of thermal interaction of these elements with a homogeneous material with an unknown coefficient of thermal conductivity. Quantitative analysis of the derived calculated relation was carried out to a sufficiently wide range of the defining parameters to verify reliability of the obtained estimate. The calculation results with respect to this relation are located within the interval between the lower and upper estimates which could be obtained from both a singular approximation of the theory of random functions and the dual variation principle of Hashin  Shtrikman.
Thermal conductivity of the textured composite with anisotropic inclusions in the form of ellipsoids of rotation
Engineering Education # 06, June 2013 DOI: 10.7463/0613.0569312 On the basis of a developed mathematical model of heat transfer in composite with anisotropic inclusions of ellipsoidal shape, a procedure for calculating components of an effective heatconduction tensor of the textured composite was proposed. A variant of inclusions in the form of ellipsoids of rotation was considered. The main axes of the heatconduction tensor of such inclusions coincide with symmetric axes of an ellipsoid. In case of conic texture of a composite its possible dispersion was taken into account. The obtained results could be used for estimating effective thermal conductivity of composites modified with nanostructured elements (including carbon nanotubes). Due to electrothermal analogy these results are applicable when consideringcharacteristics of electrical conductivity and dielectric capacitance of textured composites.
Comparative analysis of estimations of heat conduction of a composite with ball inclusions
Engineering Education # 07, July 2013 DOI: 10.7463/0713.0569319 УДК: 541.124 The authors consider different mathematical models of thermal interaction of ball inclusions and the matrix of a composite, used for estimating the effective heat conduction coefficient of this kind of composite. Application of a dual formulation of the variation problem of stationary thermal conductivity in a nonhomogeneous solid body allowed to get doublesided estimations of possible values of the coefficient. It was determined that transition from ball inclusions to cubic ones influenced slightly the effective heat conduction coefficient of a composite. The authors derived an evaluation formula that allowed to obtain a reliable estimation of this coefficient within the whole range of possible variations of the volume concentration of inclusions. Due to the electrothermal analogy it was possible to apply the obtained results in order to estimate characteristics of electrical conductivity and of dielectric capacitance of composites modified with ball inclusions (considering nanostructured elements).
Comparative analysis of estimations of polycrystalline material’s effective thermal conductivity coefficient
Engineering Education # 03, March 2013 DOI: 10.7463/0313.0541029 The authors carried out a comparative quantitative analysis of mathematical models for estimating effective thermal conductivity coefficient of polycrystalline material which consists of chaotically oriented anisotropic crystal grains with identical crystal grid. Along with wellknown methods for generating mathematical models, approaches which allowed to obtain new calculating dependences were also considered. The upper and lower bounds for accepted values of this coefficient were obtained with the use of a dual variational formulation of a stationary thermal conductivity problem for a nonhomogeneous solid body. Formulas for calculating bestattested estimations were recommended. These formulas could be used for estimating electric conductivity of polycrystalline materials due to electro thermal analogy.
Effective thermal conductivity coefficients of composite with anisotropic ellipsoidal inclusions
Engineering Education # 04, April 2013 DOI: 10.7463/0413.0541050 УДК: 536.2 A mathematical model of heat transfer in a composite material with identically oriented anisotropic ellipsoidal inclusions was created. Formulae for calculating effective thermal conductivity of composite materials, which are anisotropic with respect to the property of thermal conductivity, were obtained on the basis of a developed mathematical model. To estimate the possible error of the results, a dual formulation of the variational problem of stationary heat conduction in a heterogeneous solid body was applied. These results can be used to predict effective thermal conductivity of composite materials with ellipsoidal inclusions, which are among other nanostructured elements (including carbon nanotubes). The obtained formulas can be used for estimating electric conductivity of composite materials with identically oriented anisotropic ellipsoidal inclusions due to electro thermal analogy.



