MULTILEVEL SYSTEM PHYSICOCHEMICAL, MULTIFRACTAL AND WAVELET ANALYSIS OF THE NANOMATERIALS

Vityaz P.A., Academician of the NAS of Belarus, Doctor of Technical Sciences, Professor, Head of the Staff of the NAS of Belarus, Head of the Department of Mechanical Engineering and Metallurgy, Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.

Ilyuschenko A.F., Corresponding Member of the NAS of Belarus, Doctor of Technical Sciences, Professor, General Director of SSPA Powder Metallurgy of NAS of Belarus, Minsk, Republic of Belarus

Kheifetz M.L., Doctor of Technical Sciences, Professor, Deputy Academician-Secretary of the Department of Physics and Technical Sciences of the NAS of Belarus, Scientific Director of the Laboratory of Technological Complexes SSPA "Center" of the NAS of Belarus, Minsk, Republic of Belarus

Solntsev K.A., Academician of the RAS, Doctor of Chemistry, Professor, Deputy President of the RAS - Managing Director of the RAS, Director of the Institute of Metallurgy and Materials Science n.a. A.A. Baikov RAS, Moscow, Russia

Barinov S.M., Corresponding Member of the NAS of Belarus, Doctor of Technical Sciences, Deputy Director for Research, Institute of Metallurgy and Materials Science n.a. A.A. Baikov of the RAS, Minsk, Republic of Belarus

Kolmakov A.G., Doctor of Technical Sciences, Professor, Deputy Director for Scientific Work of the Institute of Metallurgy and Materials Science n.a. A.A. Baikov RAS, Moscow, Russia

The state diagrams elements analysis of the physicochemical system states according to the suggested topological model enabled to define the self-organization principles at pattern and phase formation. The topological model elements have been studied on the ground of the undissociated compound stages being isolated from the dissociated ones with a singular point formed on the state diagram. The rational stage sequence of structures, phases and layers interfacing has been viewed from the structure and energy positions: fractal surface structure growth; an increased number of fractal base elements; fractal meander complication; layer percolation in the interfacial area; fractal degeneration. A multifractal approach to the different structures quantification has been recommended which was realized through the measure of set approximating the structure under study. Wavelet analysis has been suggested to describe the nanostructures of the materials with the features and parameters of the wavelet analysis influencing the material description being defined.

nanostructured materials, clusters, fractals, nonequilibrium thermodynamics, wavelet analysis

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STABILITY OF RIDGE CYLINDRICAL SHELLS UNDER ACTION OF EXTERNAL PRESSURE AND AXIAL COMPRESSION

Latifov F.S., Doctor of Physical and Mathematical Sciences, Professor, Architecture and Construction University, Baku, Azerbaijan, This email address is being protected from spambots. You need JavaScript enabled to view it.

Iskenderov R.A., Candidate of Physical and Mathematical Sciences, Associate Professor, Lecturer of the Architecture and Construction University, Baku, Azerbaijan

Jafarova I.M., Dissertator, Institute of Mathematics and Mechanics of the National Academy of Sciences of Azerbaijan

The paper is devoted to the investigation of stability of elastic medium-filled cylindrical shells strengthened with longitudinal and lateral ribs under uniform pressure and longitudinal compression. Assuming the shell as structurally-orthotropic, the formulas far critical stresses parameter are abfound with using the asymptotic method. The influence of the environment parameters on the critical stresses is analyzed.

ridge shell, elastic medium, stability, critical stresses, structurally-orthotropic shell

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THE STRESS-STRAIN STATE IN NEAR CRACK TOP FOR NONHOLONOMIC PLASTICITY UNDER CONDITIONS OF PLANE STRESS

Nifagin V.A., Candidate of Physical and Mathematical Sciences, Head of the Department “Engineering Mathematics”, Belarusian National Technical University, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.
Hundzina M.A., Teaching Assistant of the Department “Engineering Mathematics”, Belarusian National Technical University, Minsk, Republic of Belarus

The stress-strain state of elastic-plastic material in a neighborhood of the top of arbitrary oriented straight-line crack with determening relations of the flow theory with hardening under plane stress is investigated. Based on the variant of a method of asymptotic expansion taking into account nonholonomicity of the resolving equations and the singularity of fields of stresses and deformations, the problem is reduced to a recurrent sequence of two-point boundary problems, that are solved numerically-analytically. The analysis of stresses and deformations and local characteristics of damage in the area surrounding singular point has been done.

elastic-plastic body, crack of general form, stress-strain state, method of asymptotic expansions

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THE STRENGTH CRITERION FOR THE TENSION ESTIMATION OF HIGH-PRESSURE APPARATUS DIES

Dudyak A.I., Doctor of Technical Sciences, Professor, Belarusian National Technical University, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.
Khvasko V.M., Postgraduate Student, Belarusian National Technical University, Minsk, Republic of Belarus

During the diamond dust synthesis the most stressed parts of a high-pressure apparatus are dies. They are subjects to all-around nonuniform compression. The criterion for strength estimation of such elements is required with the next conditions: the high-alloy material properties should be considered, the geometrical interpretation of the criterion should be a continuous function in the all range of definition. In this article the criterion that suits the necessary conditions was proposed. It is a linear function of the stress tensor component. Thus it can be used for the estimation of safety factor on yielding and destruction. The efficiency of the proposed criterion using for the strength calculation of a high-pressure apparatus dies was proved by comparison with the known strength criteria.

high-pressure apparatus, strength criterion, equivalent stress, tensile strength, stress octahedral

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