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Pile-foundation system shock loading in an axisymmetric approach

Vestnik MGSU 8/2015
  • Vasenkova Ekaterina Viktorovna - Moscow State University of Civil Engineering (National Research University) (MGSU) Senior Lecturer, Department of Higher Mathematics, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoye shosse, Moscow, 129337, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Zuev Vladimir Vasil’evich - Moscow State Institute of Radio Engineering, Electronics and Automation (MIREA Doctor of Physical and Mathematical Sciences, Professor, chair, Department of Applied Mathematics and Informatics, Moscow State Institute of Radio Engineering, Electronics and Automation (MIREA, 20 Stromynka str., Moscow, 107996, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 101-108

The basic problem of structural mechanics, namely the problem of pile shock loading sunk in a foundation, has been examined in an axisymmetric approach within defining relations for irreversible deformations offered earlier in the space of deformations. As a model of the theory of plasticity, the Mises model generalized by the authors has been accepted, the use of which solves a nonstationary system of nine two-dimensional equations with various entry and boundary conditions. Enlightened attitudes use approximate engineering approaches which allow estimating the behavior of a pile-foundation system. A solution is constructed mainly with the use of the theory of linear-elastic continuum. However they do not enable to consider various peculiarities of deformation behavior of soils and pile materials and to give an appropriate detailed picture of a system mode of deformation. Mechanical peculiarities of the behavior of foundation and pile materials discovered recently demand more enlightened attitudes to analyze a mode of deformation in a pile-foundation system considering both plasticity and fracture. The offered approach enables to give a complete picture of a mode of deformation in a pile-foundation system at any time and a picture of occurrence and development of plasticity and fracture zones.

DOI: 10.22227/1997-0935.2015.8.101-108

References
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  2. Burlakov V.N., Ter-Martirosyan A.Z. Dilatansiya, vliyanie na deformiruemost’ [Dilatancy, iInfluence on Deformability]. Sbornik trudov yubileynoy konferentsii, posvyashchennoy. 80-letiyu kafedry mekhaniki gruntov, 110-letiyu N.A. Tsytovicha, 100-letiyu S.S. Vyalova, Moskva [Proceedings of the Jubilee Conference Dedicated to the 80th Anniversary of the Department of Soil Mechanics, the 110-year Anniversary of N.A. Tsytovich, the 100th Anniversary of S.S. Vyalov, Moscow]. Moscow, MGSU Publ., 2010, pp. 105—112. (In Russian)
  3. Ter-Martirosyan Z.G., Ala Said Mukhammed Abdul Malek, Ter-Martirosyan A.Z., Ainbetov I.K. Napryazhenno-deformirovannoe sostoyanie dvukhsloynogo osnovaniya s preobrazovannym verkhnim sloem [Stress-Strain State of a double-layer foundation with a transformed upper layer]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2008, no. 2, pp. 81—95. (In Russian)
  4. Zuev V.V., Shmeleva A.G. Osesimmetrichnoe udarnoe nagruzhenie uprugoplasticheskoy sredy s razuprochneniem i peremennymi uprugimi svoystvami [Axisymmetric Shock Loading of an Elasto-Plastic Medium with Softening and Variable Elastic Properties]. Vestnik Samarskogo gosudarstvennogo universiteta : Estestvennonauchnaya seriya [Vestnik of Samara State University : Natural Sciences]. 2007, no. 2 (52), pp. 100—106. (In Russian)
  5. Zuev V.V., Shmeleva A.G. Modelirovanie povedeniya sloistykh zashchitnykh pregrad pri dinamicheskikh nagruzkakh [Modeling of the Behavior for Stratified Protective Barriers at Dynamic Loads]. Promyshlennye ASU i kontrollery [Industrial Automatic Control Systems and Controllers]. 2009, no. 12, pp. 28—30. (In Russian)
  6. Zuev V.V., Shmeleva A.G. Nekotorye aktual’nye zadachi dinamicheskogo nagruzheniya uprugoplasticheskikh sred s uslozhnennymi svoystvami [Some Current Problems of Dynamic Loading for Elasto-Plastic Media with Complicated Properties]. Vestnik Nizhegorodskogo universiteta im. N.I. Lobachevskogo [Vestnik of Lobachevsky University of Nizhni Novgorod]. 2011, no. 4 (5), pp. 2189—2191. (In Russian)
  7. Shmeleva A.G. Udarnoe nagruzhenie plasticheskikh sred [Shock Loading of Plastic Media]. LAP Lambert Academic Publishing, 2012, 128 p. (In Russian)
  8. Mata M., Casals O., Alcal J. The Plastic Zone Size in Indentation Experiments: The Analogy with the Expansion of a Spherical Cavity. Int. J. of Solids and Structures. 2006, vol. 43, no. 20, pp. 5994—6013. DOI: http://dx.doi.org/10.1016/j.ijsolstr.2005.07.002.
  9. Khodakov S. Physicochemical Mechanics of Grinding of Solids. Shuili Xuebao/Journal of Hydraulic Engineering. 1998, no. 9, pp. 631—643.
  10. Demêmes D., Dechesne C.J., Venteo S., Gaven F., Raymond J. Development of the Rat Efferent Vestibular System on the Ground and in Microgravity. Developmental Brain Research. 2001, vol. 128, no. 1, pp. 35—44. DOI: http://dx.doi.org/10.1016/S0165-3806(01)00146-8.
  11. Feldgun V.R., Karinski Y.S., Yankelevsky D.Z., Kochetkov A.V. Internal Blast Loading in a Buried Lined Tunnel. Int. J. of Impact Engineering. 2008, vol. 35, no. 3, pp. 172—183. DOI: http://dx.doi.org/10.1016/j.ijimpeng.2007.01.001.
  12. Feldgun V.R., Karinski Y.S., Yankelevsky D.Z., Kochetkov A.V. Blast Response of a Lined Cavity in a Porous Saturated Soil. Int. J. of Impact Engineering. 2008, vol. 35, no. 9, pp. 953—966. DOI: http://dx.doi.org/10.1016/j.ijimpeng.2007.06.010.
  13. Aptukov V.N. Expansion of a Spherical Cavity in a Compressible Elastoplastic Medium. Report 1. Effect on Mechanical Characteristics, Free Surface, and Lamination. Strength of Materials. 1991, vol. 23, no. 12, pp. 1262—1268. DOI: http://dx.doi.org/10.1007/BF00779445.
  14. Anand L., Gu C. Granular Materials: Constitutive Equations and Strain Localization. Journal of the Mechanics and Physics of Solids. 2000, vol. 48, no. 8, pp. 1701—1733. DOI: http://dx.doi.org/10.1016/S0022-5096(99)00066-6.
  15. Zou J.-F., Li L., Zhang J.-H., Peng J.-G., Wu Y.-Z. Unified Elastic Plastic Solution for Cylindrical Cavity Expansion Considering Large Strain and Drainage Condition. Gong Cheng Li Xue/Engineering Mechanics. 2010, vol. 27, no. 6, pp. 1—7.
  16. Frishter L.Yu. Raschetno-eksperimental’nyy metod issledovaniya napryazhenno-deformiruemogo sostoyaniya sostavnykh konstruktsiy v zonakh kontsentratsii napryazheniy [Computational and Experimental Method of Stress-Strain State Investigation of Composite Structures in the Areas of Stress Concentration]. Stroitel’naya mekhanika inzhenernykh konstruktsiy sooruzheniy [Structural Mechanics of Engineering Constructions and Buildings]. 2008, no. 2, pp. 20—27. (In Russian)
  17. Frishter L.Yu., Mozgaleva M.L. Sopostavlenie vozmozhnostey chislennogo i eksperimental’nogo modelirovaniya napryazhenno-deformiruemogo sostoyaniya konstruktsiy s uchetom ikh geometricheskoy nelineynosti [Comparison of Capabilities of Numerical and Experimental Simulation for Stress-Strain State of Structures Subject to their Geometric Nonlinearity]. International Journal for Computational Civil and Structural Engineering. 2010, vol. 6, no. 1—2, pp. 221—222. (In Russian)
  18. Antonov V.I. Nachal’nye napryazheniya v anizotropnom neodnorodnom tsilindre, obrazovannom namotkoy [Initial Stresses in an Anisotropic Nonuniform Cylinder Created by Winding]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2010, no. 4, vol. 1, pp. 29—33. (In Russian)
  19. Antonov V.I. Metod opredeleniya nachal’nykh napryazheniy v rulone pri nelineynoy zavisimosti mezhdu napryazheniyami i deformatsiyami [Method of Initial Stress Determination in a Roll with Nonlinear Dependence of Stresses and Deformations]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2010, no. 4, vol. 3, pp. 177—180. (In Russian)
  20. Antonov V.I. Napryazheniya v rulone pri dopolnitel’nom natyazhenii lenty [Stresses inside a Roll in Case of Higher Belt Tension]. Vestnik MGSU [Proceedings of Moscow State University of Civil Engineering]. 2013, no. 10, pp. 24—29. (In Russian)
  21. Zuev V.V. Opredelyayushchie sootnosheniya i dinamicheskie zadachi dlya uprugoplasticheskikh sred s uslozhnennymi svoystvami [Defining Relations and Dynamic Problems for Elasto-Plastic Media with Complicated Properties]. Moscow, Fizmatlit Publ., 2006, 176 p. (In Russian)

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DECORATIVE SANDWICH CONCRETES WITH A PROTECTIVE POLYMER LAYER ENSURING IMPROVED FRACTURE STRENGTH

Vestnik MGSU 3/2012
  • Moiseenko Ksenija Sergeevna - Moscow State University of Civil Engineering(MSUCE) Candidate of Technical Sciences, Senior Lecturer, Department of Technology of Binders and Concretes, Moscow State University of Civil Engineering(MSUCE), 26 Yaroslavskoeshosse, Moscow, 129337, Russia; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .
  • Voronin Viktor Valerianovich - Moscow State University of Civil Engineering (National Research University) (MGSU) Doctor of Technical Sciences, Professor, Department of Technologies of Cohesive Materials and Concretes, Moscow State University of Civil Engineering (National Research University) (MGSU), 26 Yaroslavskoe shosse, 129337, Russian Federation.
  • Panchenko Aleksandr Ivanovich - Moscow State University of Civil Engineering (MSUCE) 8 (499) 287-49-14, ext. 3101, Moscow State University of Civil Engineering (MSUCE), 26 Yaroslavskoeshosse, Moscow, 129337, Russia.
  • Solovev Vitalij Nikolaevich - Moscow State University of Civil Engineering (MSUCE) Doctor of Technical Sciences, Professor, Department of Construction of Nuclear Plants 8(499) 188-03-03, Moscow State University of Civil Engineering (MSUCE), 26 Yaroslavskoeshosse, Moscow, 129337, Russia.

Pages 96 - 99

This paper covers the integrity of decorative sandwich materials; relations between relative deformations of the sandwich system and the length of contact between layers; thicknesses of the surface layer and relative deformations of the concrete base. Principles of the proposed technology are also provided in the article.
The field study of the behaviour of decorative sandwich concrete products exposed to severe conditions of operation have proven that products collapse due to cracking and peeling of the polymer concrete layer in particular cases.
Deformations of sandwich materials caused by temperature and humidity fluctuations were analyzed by strain-gauge resistance sensors placed onto the surface polymer concrete layer of a product fragment and on the concrete base in the course of their freezing. Deformations were measured at the temperature intervals of 4 to 5 degrees Celsius. Freezing represents the most severe condition.
Mathematical method of experimental planning was employed to identify the dependence between relative deformations of sandwich system Исс and length of layer-to-layer contact L, thickness of surface layer h and relative deformations of the concrete base ɛ 105.
As a result of the probabilistic and statistical processing of the experimental data a three-factor quadratic model of relative deformations of a sandwich system was generated.
This equation is used to identify the most favourable conditions to assure the integrity of a sandwich product under the combined impact of the aforementioned factors. The analysis has proven that the surface layer made of polymer concrete does not crack irrespective of the contact length if deformations of the concrete base do not exceed the limit tensibility of the surface layer. In the event of substantial deformations of the concrete base, integrity of the sandwich system is to be assured by means of the right choice of thickness and length of the surface layer.
Based on the dependence of relative deformations of the sandwich composite, made of a concrete matrix and a polymer concrete decorative and protective layer, analysis of their integrity was performed with the account for the thickness of the surface layer, contact length and relative deformations of the water saturated concrete base in the course of freezing.
Pre-set theoretical provisions were applied to develop recommendations aimed at the optimization of the composition and characteristics of the technology of production of double-layer decorative and protective products based on polymer and mineral binders.

DOI: 10.22227/1997-0935.2012.3.96 - 99

References
  1. Piskarev B.A. Dekorativno-otdelochnye stroitel’nye materialy [Decorative Finishing Building Materials]. Moscow, Vysshaja shkola, 1977.
  2. Bazhenov Ju.M. Tehnologiya betona [Technology of Concrete], Moscow, ASV, 2007.
  3. Voronin V.V. Morozostoykost’ i tehnologiya betona s modificirovannym poverhnostnym sloem [Frost Resistance and Technology of Concrete with a Modified Surface Layer]. Author’s abstract of a doctoral dissertation, Moscow, MISI im. V.V. Kuybysheva, 1985.
  4. Moiseenko K.S. Povyshenie treschinostoykosti sloistykh betonnykh izdeliy s dekorativnym polimerbetonnym zaschitnym sloem [Improvement of Fracture Resistance of Sandwich Concrete Products with a Decorative Polymer Concrete Protective Layer]. Author’s abstract of a candidate’s dissertation, Moscow, MGSU, 2011.

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Phenomenological model of local plasticity

Vestnik MGSU 9/2012
  • Dolgorukov Vadim Aleksandrovich - Ryazan Institute (Branch) of Mosсow State Open University (MGOU) Candidate of Technical Sciences, Associated Professor, Chair, Department of Architecture and Urban Planning, Ryazan Institute (Branch) of Mosсow State Open University (MGOU), 26/53 Pravo-Libetskaya st., Ryazan, 390000, Russian Federation; This e-mail address is being protected from spambots. You need JavaScript enabled to view it .

Pages 101 - 108

Two points of an elastic and perfectly plastic material exposed to the plane stress are examined by the author. One point is located on the stress concentrator surface. The other one is located at a certain distance from the first one (it is considered as a secondary point within the framework of the kinetic theory of a plastic flow).
As a result of the finite element analysis of the stress-strain state it has been discovered that the material in the point located in the front area of the kinetic plastic flow remains linearly elastic in terms of its physical condition, and the load is applied to it in accordance with a curved trajectory. This trajectory is represented by





U
0




-


U











coordinates, where Uф and U0 are the density-related components of dilatation and distortion strain. For the purposes of modeling, the trajectory is represented as a two-component broken line.
As a result, the kinetic plastic flow prolongation is limited. This effect intensifies while the value of the elastic Poisson ratio (µ) goes down. For example, for ? < 0.5, dimensions of the plastic zone outstretched along the crack curve are smaller than those identified using the Irwin plastic zone solution. Furthermore, in case of ? = 0.25, the effective crack length is



l

eff


=l-
1

18 π




(


K


σ
Y






)


2







, and the modified stress distribution is below the singular stress distribution according to the laws of linear elastic fracture mechanics.

DOI: 10.22227/1997-0935.2012.9.101 - 108

References
  1. O’Dowd N.P. and Shih C.F. Family of Crack-tip Fields Characterized by a Triaxiality Parameter-I. Structure of Fields. Journal of the Mechanics and Physics of Solids. 1991, no. 39, pp. 989—1015.
  2. Matvienko Yu.G. Modeli i kriterii mekhaniki razrusheniya [Models and Criteria of Fracture Mechanics]. Moscow, FIZMATLIT Publ., 2006, 328 p.
  3. Molsk K., Glinka G. A Method of Elastic-Plastic Stress and Strain Calculation at a Notch Root. Mater. Sci. Engng, vol. 50, 1981, pp. 93—100.
  4. Makhutov N.A. Konstruktsionnaya prochnost’, resurs i tekhnogennaya bezopasnost’ [Structural Strength, Durability and Anthropogenic Safety]. Novosibirsk, Nauka Publ., 2005. Part 1. Kriterii prochnosti i resursa [Criteria of Strength and Durability]. 494 p.
  5. Neuber H. Theory of Stress Concentration for Shear-Strained Prismatical Bodies with Arbitrary Nonlinear Stress-Strain Law. ASME Journal of Applied Mechanics, no. 28, 1961.
  6. Morozov E.M. Kontseptsiya predela treshchinostoykosti [Concept of Crack Resistance Limit]. Zavodskaya laboratoriya [Industrial Laboratory]. 1997, no. 12, pp. 42—46.
  7. Irwin, G.R. Plastic Zone Near a Crack and Fracture Toughness, Mechanical and Metallurgical Behavior of Sheet Materials. Proceedings of Seventh Sagamore Ordnance Materials Conference. Syracuse University Research Institute, 1960, pp. IV-63 — IV-78.
  8. Jaku?ovas A., Daunys M. Investigation of Low Cycle Fatigue Crack Opening by Finite Element Method MECHANIKA. Tekhnologiya [Technology]. Kaunas, 2009, no. 3(77), pp. 13—17.
  9. Khezrzadeh H., Wnuk M., Yavari A. Infl uence of Material Ductility and Crack Surface Roughness on Fracture Instability. J. Phys. D. Appl. Phys., 2011, no. 44, 22 p.
  10. Malinin N.N. Prikladnaya teoriya plastichnosti i polzuchesti [Applied Theory of Strength and Creep]. Moscow, Mashinostroenie Publ., 1975, 400 p.
  11. Hutchinson, J.W. Singular Behavior at the End of a Tensile Crack in a Hardening Material. Journal of Mech. Phys. Solids, Vol. 16, 1968, pp. 13—31.
  12. Skudnov V.A. Predel’nye plasticheskie deformatsii metallov [Ultimate Plastic Strain of Metals]. Moscow, Metallurgiya Publ., 1989, 176 p.
  13. Dolgorukov V.A. Inzhenernaya model’ kinetiki plasticheskogo techeniya vblizi kontsentratora napryazheniy [Engineering Model of the Kinetics of the Plastic Flow Close to the Stress Concentrator]. Collected works of the 3d International Conference “Deformation and Destruction of Materials and Nanomaterials]. Moscow, Interkontakt Nauka Publ., 2009, vol. 2, 407 p., pp. 313—314.
  14. Novopashin M.D., Suknev S.V. Gradientnye kriterii predel’nogo sostoyaniya Gradient Criteria of the Limit State]. Vestnik SamGU. Estestvennonauchnaya seriya. [Proceedings of Samara State University. Natural Science Series]. 2007, no. 4(54), pp. 316—335.
  15. Mosolov A. B. Cracks with a Fractal Surface. Reports of the Academy of Sciences of the USSR, 1991, 319 840–4.
  16. Bogatov A.A. Mekhanicheskie svoystva i modeli razrusheniya metallov [Mechanical Properties and Fracture Models of Metals]. Ekaterinburg, UGTU-UPI Publ., 2002, 329 p.
  17. McClintock F.A. Irwin G.R., Plasticity Aspects of Fracture Mechanics. ASTM STP 381, 1965, pp. 84—113.
  18. Rice J.R., Liebowitz H, ed. Mathematical Analysis in the Mechanics of Fracture. Fracture An Advanced Treatise. Academic Press, New York, 1968, vol. 2, chap. 3, pp. 191—311.

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