DESIGNING AND DETAILING OF BUILDING SYSTEMS. MECHANICS IN CIVIL ENGINEERING

EXAMINATION OF THE STRESS-STRAIN STATE OF HETEROGENEOUS BODIES THROUGH THE EMPLOYMENT OF THE METHOD OF BOUNDARY EQUATIONS

Vestnik MGSU 7/2012
  • Khodzhiboev Abduaziz Abdusattorovich - Tajik Technical University named after academic M.S. Osimi Candidate of Technical Sciences, Associated Professor, Chair, Department of Structural Mechanics and Seismic Resistance of Structures, +7 (992) 918-89-35-14, Tajik Technical University named after academic M.S. Osimi, 10 Akademikov Radzhabovyh St., Dushanbe, 734042, Republic of Tajikistan; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 96 - 100

The subject matter of the article represents a solution to the problem of the stress-strain state of a heterogeneous structure resting on the elastic half-plane. The condition of continuity of deformations and stresses alongside the line of contact between the sections of the structure and between the structure and the half-plane is observed; the system of boundary equations is derived on the basis of the above. Coefficients associated with unknown values of the structure are identified with the help of Kelvin's fundamental solutions, while the coefficients associated with the half-plane are identified on the basis of the Mindlin's solutions. The mathematical model and the analytical algorithm developed by the author are implemented within the framework of the examination of the stress-strained state of an earth dam.
Analysis of application of the algorithm has proven that concentrated shearing stresses emerge in the area of the upper wall alongside the line of contact between the structure and the half-plane, while mechanical properties of sections of the structure and the half-plane influence the distribution of vertical relocations of the half-plane contour line.

DOI: 10.22227/1997-0935.2012.7.96 - 100

References
  1. Andreev V.I. Nekotorye zadachi i metody mekhaniki neodnorodnykh tel [Several Problems and Methods of Mechanics of Heterogeneous Bodies]. Ìoscow, ASV Publ., 2002, 288 p.
  2. Andreev V.I., Zolotov A.B., Prokop’ev V.I., Sidorov V.N. Opredelenie napryazheniy v uprugom poluprostranstve so sfericheskoy polost’yu s uchetom neodnorodnosti sredy [Identification of Stresses in the Elastic Half-space with a Spherical Enclosure with Account for the Heterogeneity of the Medium]. Stroitel’naya mekhanika i raschet sooruzheniy [Structural Mechanics and Analysis of Structures]. 1980, no. 6.
  3. Andreev V.I., Gasilov V.A., Smolov A.V. Raschet termouprugikh napryazheniy v neodnorodnom tsilindre [Calculation of Thermo-elastic Stresses inside a Heterogeneous Cylinder]. Vychislitel’nye metody i matematicheskoe modelirovanie [Computational Methods and Mathematical Modeling]. Abstracts of reports, Shushenskoye, 1986.
  4. Andreev V.I. Ob odnom metode resheniya v peremeshcheniyakh ploskoy zadachi teorii uprugosti dlya radial’no-neodnorodnogo tela [About One Solution in Respect of Displacements within the Framework of the 2D Problem of the Theory of Elasticity in Respect of a Radially Heterogeneous Body]. Prikladnaya mekhanika [Applied Mechanics]. 1987, vol. 23, no. 4, pp. 16—23.
  5. Andreev V.I. Priblizhennyy metod resheniya smeshannoy kraevoy zadachi dlya neodnorodnogo tsilindra [Approximate Solution of the Mixed Boundary Value Problem for a Heterogeneous Cylinder]. Stroitel’naya mekhanika i raschet sooruzheniy [Structural Mechanics and Analysis of Structures]. 1989, no. 2, pp. 8—11.
  6. Andreev V.I., Kerimov Ê.À., Smolov À.V. Chislenno-analiticheskoe reshenie ploskoy zadachi dlya neodnorodnogo uprugogo kol’tsa [Numerical-analytical Solution of the 2D Problem in Respect of a Heterogeneous Elastic Ring]. Soprotivlenie materialov i teoriya sooruzheniy [Strength of Materials and Structural Theory]. Kyev, 1989, no. 53, pp. 62—67.
  7. Kiselev A.P., Gureeva N.P., Kiseleva R.Z. Ispol’zovanie trekhmernykh konechnykh elementov v raschetakh prochnosti mnogosloynykh paneley [Application of Three-Dimensional Finite Elements in Analysis of Strength of Multi-Layered Panels]. Stroitel’naya mekhanika inzhenernykh konstruktsiy i sooruzheniy [Structural Mechanics of Engineering Constructions and Structures]. 2009, no. 4, pp. 37—40.
  8. Kiselev A.P., Gureeva N.P., Kiseleva R.Z., Leont’eva V.V. Opredelenie napryazheniy v zone peresecheniya plastin pri ploskom nagruzhenii na osnove MKE [Identification of Stresses in the Zone of Intersecting Plates in the Event of 2D Loading Based on FEM]. Stroitel’naya mekhanika inzhenernykh konstruktsiy i sooruzheniy [Structural Mechanics of Engineering Constructions and Structures]. 2012, no. 2, pp. 55—62.
  9. Nizomov D.N. Metod granichnykh uravneniy v reshenii staticheskikh i dinamicheskikh zadach stroitel’noy mekhaniki [Method of Boundary Equations Employed to Resolve Static and Dynamic Problems of Structural Mechanics]. Moscow, ASV Publ., 2000, 282 p.
  10. Novatskiy V. Teoriya uprugosti [Theory of Elasticity]. Moscow, Mir Publ., 1975, 872 p.

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DEPENDENCE OF SUFFOSION STABILITY OF SANDY SOILS OF VARIOUS GENESES ON THE TYPE OF FILTRATE

Vestnik MGSU 5/2012
  • Potapov Ivan Aleksandrovich - Scientific and Research Institute of Emergency Healthcare named after N.V. Sklifosovskiy engineer, Scientific and Research Institute of Emergency Healthcare named after N.V. Sklifosovskiy, ; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Shimenkova Anastasiya Anatol'evna - Moscow State University of Civil Engineering (MGSU) engineer, Department of Engineering Geology and Geoecology, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Potapov Aleksandr Dmitrievich - Moscow State University of Civil Engineering (MGSU) Doctor of Technical Sciences, Professor, Head, Department of Engineering Geology and Geoecology, Moscow State University of Civil Engineering (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 79 - 86

Results of calculations and experimental researches of suffosion stability of sandy soils are provided in the article. The authors have assessed the prospects for the application of standard methodologies to demonstrate the need to take account of the filtrate properties in the course of projecting potential suffusion process development patterns typical for sandy soils. The principal attention must be driven to the value of the kinematic viscosity of filtered liquids. Any assessment of filtration-related interaction of the flow of liquid with sandy soils must be backed by the gradation analysis of soils and the analysis of their homogeneity, as well as the mineralogical and morphological analysis. The morphological study of sands of various geneses, performed hereunder, is based on the methodology that takes account of both the shape of sand particles and the structure of their surface.
The proposed methodology makes it possible to assess extensive sand specimen rather than separate sand particles to assure the representative sampling to assure the accuracy of the morphological analysis. The authors provide the data that cover the research of sands of various geneses demonstrating varied granulometric and mineral composition, as well as various morphological peculiarities of correlation with the filtrates that have different values of kinematic viscosity. The methodological research completed by the authors has indicated an urgent need to perform laboratory and field researches of suffosion instability of sandy soils in varied geoecological environments typical for urban lands exposed to anthropogenic pollutions.

DOI: 10.22227/1997-0935.2012.5.79 - 86

References
  1. Rekomendatsii po metodike laboratornykh ispytaniy gruntov na vodopronitsaemost’ i suffozionnuyu ustoychivost’. P 12-83 [Recommendations concerning the Methodology of Laboratory Testing of Waterpermeability and Suffosion Stability of Soils. P 12-83]. Leningrad, VNIIG [Institute Hydroproject], 1983.
  2. Spiridonov V.N. Gidravlicheskie kharakteristiki otkrytogo potoka v pronitsaemom rusle [Hydraulic Characteristics of an Open Stream in a Nontight Channel]. Moscow, Moscow Institute of Civil Engineering, 1985.
  3. Vil’ner Ya.M. Spravochnoe posobie po gidravlike, gidromashinam i gidroprivodam [Handbook of Hydraulics, Hydraulic Machines and Hydraulic Drivers]. Moscow, Mashizdat Publ., 1989.
  4. GOST 25100—95. Grunty. Klassifikatsiya. [All-Russian State Standard 25100—95. Soils. Classification]. Moscow, Gosstroy Publ., 1996.
  5. Potapov A.D. Morfologicheskoe izuchenie peskov razlichnogo genezisa v inzhenernogeologicheskikh tselyakh [Morphological Research of Sands of Various Geneses for Engineering Geology Purposes]. Moscow, PNIIIS [Production, Scientific and Research Institute of Engineering Surveying in Construction], 1982.

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STATIONARY PROBLEM OF MOISTURE-INDUCED ELASTICITY OF HETEROGENEOUS THICK-WALLED CYLINDERS

Vestnik MGSU 10/2012
  • Andreev Vladimir Igorevich - Moscow State University of Civil Engineering (National Research University) (MGSU) Doctor of Technical Sciences, Professor, corresponding member of Russian Academy of Architecture and Construction Sciences, chair, Department of Strength of Materials, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Aversh'ev Anatoliy Sergeevich - Moscow State University of Civil Engineering (MSUCE) master student, Institute of Fundamental Educatio, Moscow State University of Civil Engineering (MSUCE), 26 Yaroslavskoe shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 56 - 61

Many problems of identification of the stress-strain state against the background of the heat and mass transfer are solved through the application of constant (averaged) values of mechanical properties (elastic modulus, Poisson's ratio) and derivation of differential equations with constant coefficients. Due to irregular distribution of temperature and other factors of impact, including the moisture content, mechanical properties of many materials change significantly; therefore, the problems in question are solved within the framework of mechanics of heterogeneous bodies.
In this paper, the authors solve the classical problem of the steady-state moisture-induced elasticity of a thick-walled cylinder by taking account of the changes in the value of the elastic modulus caused by the influence of moisture. In this case, the problem is reduced to a differential equation with variable coefficients, which makes the solution more complicated though more accurate. It is proven that due regard for the heterogeneity leads to a significant increase in stresses, if compared to the solution based on the mean values of the modulus of elasticity.

DOI: 10.22227/1997-0935.2012.10.56 - 61

References
  1. Abelev M.Yu. Stroitel’stvo promyshlennykh i grazhdanskikh zdaniy na vodonasyshchennykh gruntakh [Construction of Industrial and Civil Buildings on Saturated Soil]. Moscow, 1982, 247 p.
  2. Vyalov S.S. Reologicheskie osnovy mekhaniki gruntov [Rheological Fundamentals of Soil Mechanics]. Moscow, Vyssh. shk. publ., 1976, 447 p.
  3. Ter-Martirosyan Z.G. Mekhanika gruntov [Soil Mechanics]. Moscow, ASV Publ., 2005, 488 p.
  4. Andreev V.I. Nekotorye zadachi i metody mekhaniki neodnorodnykh tel [Some Problems and Methods of Mechanics of Heterogeneous Bodies]. Moscow, ASV Publ., 2002, 288 p.
  5. Andreev V.I., Potekhin I.A. Optimizatsiya po prochnosti tolstostennykh obolochek [Optimization of Strength of Thick-walled Envelopes]. Moscow, MGSU Publ., 2011, 86 p.
  6. Andreev V.I. Metod resheniya nekotorogo klassa trekhmernykh zadach dlya uprugogo radial’no neodnorodnogo tsilindra [Method of Resolving a Class of Three-dimensional Problems for an Elastic Radial Heterogeneous Cylinder]. Izvestiya vuzov. Stroitel’stvo i arkhitektura. [News of Institutions of Higher Education. Construction and Architecture]. 1985, no. 8, pp. 28—31.
  7. Andreev V.I. Priblizhennyy metod resheniya smeshannoy kraevoy zadachi dlya neodnorodnogo tsilindra [Approximate Method of Resolving the Mixed Boundary Value Problem for a Heterogeneous Cylinder]. Stroitel’naya mekhanika i raschet sooruzheniy [Structural Mechanics and Analysis of Structures]. 1989, no. 2, pp. 8—11.
  8. Andreev V.I., Frolova I.I. Temperaturnye napryazheniya v neodnorodnom massive so sfericheskoy polost’yu [Thermal Stresses in a Heterogeneous Body with a Spherical Cavity]. Collected works of Higher School of Engineering. Poland, Opole, 1991, pp. 14—18.
  9. Davydov V.A. Osobennosti izyskaniy i proektirovaniya avtomobil’nykh dorog v rayonakh vechnoy merzloty [Peculiarities of Surveys and Design of Motor Roads in Permafrost Areas]. Omsk, Omskiy PI Publ., 1979, pp. 44—56.
  10. ODN 218.046—01. Proektirovanie nezhestkikh dorozhnykh odezhd [Design of Non-rigid Road Pavements]. 2000, 93 p.

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