Труды сотрудников ИВМ СО РАН

/ V. M. Sadovskii, O. V. Sadovskaya ; ed. by T.E.Simos [et al.] // NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM 2012), VOLS A AND B. Ser. AIP Conference Proceedings : AMER INST PHYSICS, 2012. - Vol. 1479: International Conference of Numerical Analysis and Applied Mathematics (ICNAAM) (SEP 19-25, 2012, Kos, GREECE). - pp. 1611-1614, DOI 10.1063/1.4756474. - Cited References: 4 . - ISBN 0094-243X. - ISBN 978-0-7354-1091-6РУБ Mathematics, Applied + Physics, Applied

Аннотация: Parallel program systems for numerical solution of 2D and 3D problems of the dynamics of deformable media with constitutive relationships of rather general form on the basis of universal mathematical model describing small strains of elastic, elastic-plastic and granular materials are worked out. Some computations of dynamic problems with and without taking into account the moment properties of a material were performed on supercomputers with cluster architecture.

РИНЦ


Доп.точки доступа:
Sadovskii, V.M.; Садовский, Владимир Михайлович; Sadovskaya, O.V.; Садовская, Оксана Викторовна; Simos, T.E. \ed.\; Psihoyios, G. \ed.\; Tsitouras, C. \ed.\

[Text] / O.V. Sadovskaya, V.M. Sadovskii // Acoust. Phys. - 2010. - Vol. 56, Is. 6. - P942-950, DOI 10.1134/S1063771010060199. - Cited References: 19. - This study was supported by the Russian Foundation for Basic Research (project no. 08-01-00148), Complex Fundamental Research Program no. 2 of the Presidium of the Russian Academy of Sciences, and Siberian Division of the Russian Academy of Sciences (Interdisciplinary Integration Project no. 40). . - 9. - ISSN 1063-7710РУБ Acoustics

Аннотация: Oscillatory processes in media with microstructure under the action of concentrated impulse and time-periodic perturbations are analyzed within the Cosserat elasticity theory. According to the results of computations, such media are characterized by a resonance frequency equal to the frequency of natural oscillations of particle rotational motion. This frequency is a phenomenological parameter of a material. It was established that the oscillatory rotation of particles changes for monotone rotational motion with increasing intensity of shear strains.


Доп.точки доступа:
Sadovskaya, O.V.; Садовская, Оксана Викторовна; Sadovskii, V.M.; Садовский, Владимир Михайлович

/ M. Varygina // Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). - 2013. - Vol. 8236 LNCS: 5th International Conference on Numerical Analysis and Applications, NAA 2012 (15 June 2013 through 20 June 2013, Lozenetz. - P517-523, DOI 10.1007/978-3-642-41515-9_59 . -
Аннотация: Parallel computational algorithms for the modeling of dynamic interaction of elastic blocks through thin viscoelastic interlayers in structurally inhomogeneous media such as rock are worked out. Numerical algorithms are based on monotonous grid- characteristic schemes with the balanced number of time steps in layers and interlayers. The numerical results to demonstrate qualitative characteristics of wave propagation in materials with microstructure are shown. В© 2013 Springer-Verlag.

Scopus,
Полный текст


Доп.точки доступа:
Варыгина, Мария Петровна

/ M. Varygina // Proceedings of XLI International Summer School–Conference APM 2013. - 2013. - P107-113
Аннотация: Parallel computational algorithms for the numerical modeling of dynamic interactions of elastic blocks through thin elastic and viscoelastic interlayers in structurally inhomogeneous medium such as rock are developed. Monotonous grid-characteristic ENO-scheme with the balanced number of time steps in blocks and interlayers is used for the numerical solution. The algorithms are implemented in 1d and 2d cases with the CUDA technology (Compute Unified Device Architecture) for supercomputers with graphics processing units. The results of numerical analysis demonstrate peculiar quality of planar wave propagation in materials with layered microstructure.

Полный текст

Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Варыгина, Мария Петровна

/ V. M. Sadovskii // Proceedings of XLI International Summer School–Conference APM 2013. - 2013. - P493-500
Аннотация: Based on the equations of dynamics of a structurally inhomogeneous elastic medium taking into account the rotational degrees of freedom of the particles of microstructure, a simplified mathematical model is worked out for description of the wave motion in nematic liquid crystals under the influence of weak mechanical and thermal perturbations. It is shown that in the case of plane strain the shear stress in such a medium satisfies the Klein–Gordon equation, describing the oscillatory nature of particles rotation. The results of numerical computations shows that the natural frequency of rotational motion of the particles, determined by this equation, is the resonance characteristic of a material, and it is independent of the size of a sample and of the loading conditions.

Полный текст

Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Садовский, Владимир Михайлович

/ V. M. Sadovskii, O. V. Sadovskaya // Physical Mesomechanics. - 2013. - Vol. 16, № 4. - P312-318, DOI 10.1134/S102995991304005X . - ISSN 1029-9599
Аннотация: Based on dynamic equations of a heterogeneous elastic medium which take into account rotational degrees of freedom of microstructure particles, a simplified mathematical model was constructed to describe the wave motions of a nematic liquid crystal under weak mechanical and temperature perturbations. It is shown that in the medium under plane deformation, the tangential stress obeys the Klein-Gordon equation of oscillatory particle rotation. Consideration is given to the possibility of initiating rotational waves in a nematic liquid crystal, which change its optical properties, due to heat sources acting at its boundary. © 2013 Pleiades Publishing, Ltd.

Scopus,
Полный текст

Держатели документа:
ИВМ СО РАН : 660036, Красноярск, Академгородок, 50, стр.44

Доп.точки доступа:
Sadovskaya, O.V.; Садовская, Оксана Викторовна; Sadovsky V.M.

[Текст] : тезисы / M. P. Varygina, O. V. Sadovskaya, V. M. Sadovskii // Аннотации докл. междунар. конф. «Современные проблемы прикладной математики и механики: теория, эксперимент и практика». - 2011. - С. 28


Доп.точки доступа:
Sadovskaya, O.V.; Садовская, Оксана Викторовна; Sadovskii, V.M.; Садовский, Владимир Михайлович; Варыгина, Мария Петровна; "Современные проблемы прикладной математики и механики: теория, эксперимент и практика", Международная конференция, посвященная 90-летию со дня рождения академика Н.Н.Яненко(30 мая - 4 июня 2011 г. ; Новосибирск)

/ G. G. Krushenko [и др.] // Metallovedenie i Termicheskaya Obrabotka Metallov. - 1993. - Is. 3. - P3-4 . - ISSN 0026-0819
Аннотация: Blades of a three-blade boat screw propeller 40 mm in diameter chill cast from the AL2 alloy (11.2% Si; 0.4% Fe; 0.01% Mg; 0.02% Cu; Zn - traces) were studied. A method of correcting ultimate rupture strength ?v during tensile tests was suggested. Making allowances for ?v calculation results using the method described, the optimal conditions of thermocyclic treatment (TCT) of the AL2 alloy were chosen. TCT of the blades was carried out by the scheme 500-20В°C or 550-20В°C with the number of cycles n=3,5,7 allowance to stand for 10 min at the highest and lowest temperatures and cooling from the highest temperature in the final cycle either in the air or in water. The highest ?v values are attained after TCT by the scheme 500-20В°C (N=3) with subsequent cooling in water.

Scopus

Держатели документа:
Vychislitel'nyj Tsentr Sibirskogo, Otdeleniya RAN, Krasnoyarsk, Russian Federation
ИВМ СО РАН

Доп.точки доступа:
Krushenko, G.G.; Крушенко, Генрих Гаврилович; Anikina, V.I.; Balashov, B.A.; Vasilenko, Z.A.; Kovaleva, A.A.

[Text] / O. V. Sadovskaya, V. M. Sadovskii, M. P. Varygina // ECCOMAS Thematic Conference - COMPDYN 2013: 4th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings - An IACM Special Interest Conference. - 2013. - P4578-4592
Аннотация: In the framework of mathematical model of a block medium with elastic blocks interacting through compliant viscoelastic interlayers and its approximation on the basis of equations of the Cosserat continuum, the problems of periodic perturbation of a layer and of a half-space under the action of distributed and localized surface loads are solved numerically. The simple formulas are suggested to determine the elasticity coefficients of the moment continuum by given characteristics of the materials of blocks and interlayers, which provide a good correspondence of the wave fields received by means of the exact and approximate models. Parallel computational algorithms, based on models of the inhomogeneous elasticity theory and the Cosserat elasticity theory, are applied to the analysis of propagation of elastic waves in geomaterials with layered and block microstructure. These algorithms are realized as parallel program systems for GPUs (using CUDA technology) and for multiprocessor computers of the cluster type (using MPI library). Monotone grid-characteristic schemes with a balanced number of time steps in elastic layers or blocks and in viscoelastic interlayers are used. By the analysis of numerical solutions it is shown that the multiblock medium has a resonant frequency of rotational motion of blocks, and this frequency does not depend on the size of a massif and on the boundary conditions at its surface.

Scopus,
Полный текст на сайте конференции,
Полный текст


Доп.точки доступа:
Sadovskii, V.M.; Садовский, Владимир Михайлович; Varygina, M.P.; Варыгина, Мария Петровна; Садовская, Оксана Викторовна

[Текст] : статья / В. М. Садовский, Е. П. Ченцов // Вычислительные методы и программирование: новые вычислительные технологии. - 2015. - Т. 16, № 2. - С. 318-327 . - ISSN 1726-3522
   Перевод заглавия: Analysis of resonant excitation of layered and block media on the basis of discrete models

УДК

519.63

539.37

Аннотация: В рамках дискретных моделей исследуются резонансные процессы в структурно неоднородных материалах со слоистой и блочной микроструктурой. Вычислены собственные частоты продольного движения частиц в линейной моноатомной цепочке, имитирующей слоистую среду, с различными типами граничных условий. Для анализа поведения цепочки в окрестности резонансных частот построены спектральные портреты матриц. Показано, что при предельном переходе от модели моноатомной цепочки с упругими связями, учитывающей сопротивление вращению частиц, к модели моментного континуума выделяется характерная резонансная частота вращательного движения, не зависящая от длины цепочки.
Resonant processes in structurally inhomogeneous materials of layered and block microstructure are studied in the framework of discrete models. Natural frequencies of longitudinal motion in a linear monato\-mic chain modeling a layered medium are determined for various boundary conditions. In order to analyze the behavior of the chain near resonant frequencies, the spectral portraits of the corresponding matrices are specified. It is shown that a special resonant frequency of rotational motion is observed when passing to the limit from a model of a monatomic chain with elastic connections to a moment continuum model. The particle rotation resistance is taken into account in this passage to the limit. This special resonant frequency does not depend on the chain length.

РИНЦ

Держатели документа:
Институт вычислительного моделирования СО РАН

Доп.точки доступа:
Ченцов, Евгений Петрович; Sadovskii V.M.

/ V. M. Sadovskii, E. P. Chentsov // (15 June 2016 through 22 June 2016 : Springer Verlag, 2017. - Vol. 10187 LNCS. - P583-590, DOI 10.1007/978-3-319-57099-0_66 . -
Аннотация: Resonance phenomena in inhomogeneous layered and blocky media are investigated on the basis of the discrete model of transverserotational oscillations in linear monoatomic chain. To analyze the behavior of the system in near-resonance region, spectral portraits are built. It allows to visualize resonant frequencies and to analyze alteration of an amplitude vector. Using mentioned model, a set of resonant frequencies are found. It is shown that there exists one specific frequency, which does not depend on the number of particles in the chain. In passing to the limit as the chain length tends to infinity, this frequency, related to rotational particles vibration, is the unique resonant frequency. The discussed property is associated with the previously studied property of the Cosserat continuum, where the resonant frequency of rotational motion exists, which does not depend on the specimen size and on the conditions of loading at its boundary. © Springer International Publishing AG 2017.

Scopus,
Смотреть статью,
WOS

Держатели документа:
Institute of Computational Modeling SB RAS, Akademgorodok 50/44, Krasnoyarsk, Russian Federation

Доп.точки доступа:
Chentsov, E.P.; Ченцов, Евгений Петрович; Садовский, Владимир Михайлович

: статья / N. V. Eremin // Сибирский журнал науки и технологий. - 2018. - Т. 19, № 2. - P346-354, DOI 10.31772/2587-6066-2018-19-2-346-354 . - ISSN 2587-6066
   Перевод заглавия: Анализ микроструктуры слоистого полимерного композиционного материала металлокомпозитного бака высокого давления

УДК

629.7

620.186

Аннотация: The microstructure of a layered polymeric composite material used in the construction of a metal composite over- wrapped pressure vessel is investigated. The purpose of this work was to evaluate the parameters characterizing the structure of a laminate polymer composite material. Due to their technological and structural features, laminated polymer composite materials have a number of operational disadvantages that lead to a reduction in the overall level of strength characteristics. From the different zones of the nine-layer composite shell of the metal composite overwrapped pressure vessel, four vertical flat samples of the composite material for the manufacture of thin sections were cut out. The method of electron-scanning microscopy was used. The analysis of the percentage confinement of fibers in the ma- trix was carried out. The structure of the layered polymeric composite material is uniform with the presence of a dis- persion of distances between the fibers. The analysis of porosity in a composite material was carried out. The analysis of the structure of composite materials with different porosity has shown that with increasing pore area and their num- ber, the strength characteristics of composite tapes and reinforcing fibers decrease. Using the “mixture rule” and “polydispersity model”, the values of the effective modulus of elasticity of the composite material are estimated. It is determined that the modulus of elasticity of the composite material in the zone of the flange of the composite shell is less than at the equator. A complex evaluation of the quality of a laminate polymer composite material used in the structure of a metal composite overwrapped pressure vessel was carried out. The obtained results of inhomogeneity of the me- chanical properties of the composite shell are necessary for design calculation of the stress-stain state of metal over- wrapped pressure vessels.
Исследована микроструктура слоистого полимерного композиционного материала, применяемого в конст- рукции металлокомпозитного бака высокого давления. Целью исследования являлась оценка параметров, ха- рактеризующих структуру слоистого полимерного композиционного материала. В связи с технологическими и конструктивными особенностями слоистые полимерные композиционные материалы имеют ряд недостат- ков при эксплуатации, которые приводят к снижению общего уровня прочностных характеристик. Из разных зон 9-слойной композитной оболочки металлокомпозитного бака высокого давления было вырезано 4 верти- кальных плоских образца композиционного материала для изготовления шлифов. Исследования проводились с использованием электронно-сканирующей микроскопии. В ходе исследований были получены изображения мик- роструктуры композиционного материала с характерным высоким уровнем контраста между волокном и матрицей. Проведен анализ процентного содержания углеродных волокон в матрице. Определено, что струк- тура слоистого полимерного композиционного материала однородна с наличием разброса расстояний между волокнами. Сравнительный анализ случайных зон микроструктуры композиционного материала указал на то, что разница в процентном содержании углеродных волокон в матрице между образцами, вырезанными с эк- ватора, небольшая, однако имеется существенная разница между образцом, вырезанным с экватора, и образ- цом, вырезанным в зоне фланца. Проведен анализ пористости в композиционном материале. Анализ структу- ры композиционных материалов с различной пористостью показал, что с ростом площади пор и их количест- ва характеристики прочности композитных лент и армирующих волокон уменьшаются. Рассчитаны значения эффективного модуля упругости композиционного материала с использованием «правила смеси» и «полидис- персной модели». Определено, что модуль упругости композиционного материала в зоне фланца композитной оболочки меньше, чем на экваторе. Проведена комплексная оценка качества слоистого полимерного компози- ционного материала, применяемого в конструкции металлокомпозитного бака высокого давления. Полученные результаты неоднородности механических свойств композитной оболочки могут быть использованы при про- ектных расчетах напряженно-деформированного состояния металлокомпозитных баков высокого давления.

РИНЦ

Держатели документа:
Institute of Computational Modeling SB RAS
Institute of Computational Technologies SB RAS

Доп.точки доступа:
Eremin, N.V.; Еремин Н.В.

/ M. Varygina // Continuum Mech. Thermodyn. - 2018, DOI 10.1007/s00161-018-0725-8 . - Article in press. - ISSN 0935-1175
Аннотация: Mathematical models of micropolar plates and shells are considered within the framework of the approximation approach. The governing equations of the theories are written in a thermodynamically consistent form of the conservation laws. This ensures hyperbolicity and correctness of the initial boundary value problems. For numerical solution, we propose parallel algorithms for supercomputers with graphics processing units. The algorithms are based on the splitting method with respect to spatial variables. We present the results of numerical computations of wave propagation in micropolar rectangular plates and cylindrical panels for media with different types of microstructure particles. © 2018, Springer-Verlag GmbH Germany, part of Springer Nature.

Scopus,
Смотреть статью

Держатели документа:
Institute of Computational Modeling, Siberian Branch of the Russian Academy of Sciences, Akademgorodok 50/44, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Varygina, M.