Skip to main content
SpringerLink
Log in
Book cover

Spatial Contact Problems in Geotechnics pp 385–504Cite as

Calculation of Bases for Rigid Complex-Shaped Deepened Foundations According to the Second Limiting State in a Three-Dimensional Formulation

  • Chapter
  • First Online:

Part of the book series: Foundations of Engineering Mechanics ((FOUNDATIONS))

Abstract

In the fifth chapter boundary-element method is applied to calculate contact interaction of foundation structures with soil, taking into account the deepening factor. The need for spatially based calculation of bases of deepened foundations is explained. The principles for foundation structure calculations from the base deformations are briefly reviewed as well as the existing problem formulations and solution methods for spatial problems of contact interaction of deepened foundation structures with soil bases. Solutions of spatial contact problems for deepened monolithic-type foundation structures most widely used in the recent years are also considered, namely for (1) pyramidal piles; (2) foundations made of short vertical or inclined bored piles with caps; (3) bored pile foundations with support extensions; (4) slot foundations with the longitudinal cross-section of various shape. Heterogeneous stress-strained states of the base are taken into account as well as the formation of cavities between the soil and the foundation structures. The effect of the foundation shape on its displacement and slope at various spatial loading is estimated quantitatively. Numerous examples show the results of the boundary-element modeling to be in good agreement with the experimental measurements performed for spatial foundation structures, in most cases boundary-element method results being closer to the experiment than those obtained by other known calculation methods.

†Diseased

This is a preview of subscription content, log in via an institution.

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Aleksandrov A V, Lashchenikov B Ya, Shaposhnikov N N et al. (1976) Computer-aided methods of calculation of rod systems, plates and shells. Stroyizdat, Moscow (in Russian)

    Google Scholar 

  2. Aleksandrovich V F, Fedorovskii V G (1982) Finite-element calculation of interaction of a deepened foundation with an elastoplastic base. In: Engineering properties of soil and calculation of the bearing capacity and settlements of foundations. Tr NIIOSP 78: 106–113 (in Russian)

    Google Scholar 

  3. Alekseyev A I, Nikiforov Yu N, Derevyanko V M (1985) Experimental studies of functioning of slotted foundations. In: Bases and foundations in the geological conditions of the Urals. PPI, Perm, pp. 31–35 (in Russian)

    Google Scholar 

  4. Alekseyev V M, Lipson G A, Mitrenko Yu A (1980) Study of the bearing capacity of pyramidal piles on a vertical load. In: Soil mechanics, bases and foundations. Voronezh State University, Voronezh, pp. 72–81 (in Russian)

    Google Scholar 

  5. Alekseyev V M, Lipson G A, Mitrenko Yu A (1984) Studies of bearing capacity of pyramidal piles under an inclined force. In: Studies of rational structures of foundations. Voronezh State University, Voronezh, pp. 17–24 (in Russian)

    Google Scholar 

  6. Amusin B Z, Fadeyev A B (1975) Finite-element method at the solution of problems of mining geomechanics. Nauka, Moscow (in Russian)

    Google Scholar 

  7. Bakenov Kh Z, Bizhanov K S, Repina P I (1984) On the calculation of settlements and bearing capacity of pyramidal piles using the finite-element method. In: Bases and foundations in weak and heaving soils. LISI, Leningrad, pp. 32–42 (in Russian)

    Google Scholar 

  8. Bakholdin B V, Kolesnikov L I, Shikalovich N S (1989) Effect of frost-heave forces of soils on the bearing capacity of pyramidal piles. Soil Mech Found Eng 26: 243–248

    Article  Google Scholar 

  9. Baranov V S, Romanov D A, Romanov K D, Sidorchuk V F (1973) Investigation of the pressure distribution in the soil around piles with spherical enlarged bases. Soil Mech Found Eng 10: 96–99

    Article  Google Scholar 

  10. Bartolomei A A (1994). Modern state and problems of pile foundation engineering. In: Proc 4th Int Conf Pile Foundation Engineering Problems. Pt 1. Improvement of methods of calculation and technology of pile foundations. PGTU, Perm, pp. 38–43 (in Russian)

    Google Scholar 

  11. Bartolomei A A, Chikishev V M, Yushkov B S, Malyugin V P (1994) Experimental and theoretical studies of interaction of foundations of piles with blades with the soil base. In: Bases and foundations at the geological conditions of the Urals. PPI, Perm, pp. 3–13 (in Russian)

    Google Scholar 

  12. Bartolomei A A, Lavrentyev V A (1988) Pile foundations of increased bearing capacity. In: Bases and foundations in geological conditions of the Urals. PPI, Perm, pp. 8–13 (in Russian)

    Google Scholar 

  13. Bartolomei A A, Pilyagin A V (1988) Stress-strain state of the beds of pyramidal pile foundations. Soil Mech Found Eng 25: 136–140

    Article  Google Scholar 

  14. Bartolomei A A, Ponomaryov A B, Yushkov B S (1994) Foundations of hollow conical piles. In: Bases and foundations in geological conditions of the Urals. PPI, Perm, pp. 13–17 (in Russian)

    Google Scholar 

  15. Bartolomei A A, Yushkov B S, Ponomaryov A B (1990) Experimental studies of the stress-atrained state of the active zone of a hollow conical pile. In: Bases and foundations in geological conditions of the Urals. PPI, Perm, pp. 60–66 (in Russian)

    Google Scholar 

  16. Bekbasarov I I, Shilibekov S K, Kushekbayev B Z (1989) On the effect of some geometrical parameters of foundations in tamped pits on their resistivity to static vertical load. In: Bases and foundations in geological conditions of the Urals. PPI, Perm, pp. 88–93 (in Russian)

    Google Scholar 

  17. Budanov V G (1975) Functioning of a base at cross-beam fixation of horizontally loaded power line support pillars. Energet Stroit (issue 7): 52–54 (in Russian)

    Google Scholar 

  18. Bugrov A K, Golubev A I (1993) Anisotropic soils and bases of buildings. Nedra, St. Petersburg (in Russian)

    Google Scholar 

  19. Bukharin Ye M, Gabliya Yu A, Levin L E (1971) Design of foundations for power line supports. Energiya, Moscow (in Russian)

    Google Scholar 

  20. Bykov V I (1975) Experimental investigations of performance of horizontally loaded pile foundations. Soil Mech Found Eng 12: 102–104

    Article  Google Scholar 

  21. Bykov V I (1995) Foundations for individual residential buildings. Soil Mech Found Eng 32: 66–68

    Article  Google Scholar 

  22. Chikishev V M, Bay V F, Dolgov V N, Shmidt V G (1994) Studies of functioning of foundations of piles with enhanced bearing capacity in clay soils. In: Bases and foundations at the geological conditions of the Urals. PPI, Perm, pp. 18–26 (in Russian)

    Google Scholar 

  23. Chikishev V M, Bay V F, Malyshkin A P (1990) Experimental studies of the stress-strained state of soils in the base of group of piles with self-unfolding blades. In: Bases and foundations at the geological conditions of the Urals. PPI, Perm, pp. 53–60 (in Russian)

    Google Scholar 

  24. Collins W D (1962) Some axially symmetric stress distributions in elastic solids containing penny-shaped cracks. I. Cracks in an infinite solid and a thick plate. Proc Roy Soc Ser A 203: 359–386

    Google Scholar 

  25. Costet J, Sanglerat D (1975) Cours practique de mechanique des sols. Bordas, Paris

    Google Scholar 

  26. Dalmatov B I (1981) Mechanics of soils, foundations and bases. Stroyizdat, Moscow (in Russian)

    Google Scholar 

  27. De Buhan P, Siad L (1989) Influence of a soil-strip interface failure condition on the yield-strength of reinforced earth. Computers Geotech 7: 3–18

    Article  Google Scholar 

  28. Dembicki E, Sieradzki M (1988) Analysis of the behaviour of piles in high compressible soil subjected to torsion. In: Baltic Conf Soil Mech Found Eng. vol. 2: Construction on heats and deformation of structures on highly compressible soils. Tallinn, pp. 160–163

    Google Scholar 

  29. Derevyanko V M (1990) Experimental studies of the slotted foundation + soil system. In: Bases and foundations in the geological conditions of the Urals. PPI, Perm, pp. 100–104 (in Russian)

    Google Scholar 

  30. Drucker D C, Prager W (1952) Soil mechanics and plastic analysis or limit design. Quart Appl Math 10:157–165

    MathSciNet  MATH  Google Scholar 

  31. Druzhinin G A, Komzina A A (1988) Rational construction of shallow foundations for rural buildings on a natural base. Kuibyshev State University, Kuibyshev (in Russian)

    Google Scholar 

  32. Dubov K A (1992) Calculation of piles with cross-shaped cross-section with diagonal reinforcement for raftless pile foundations of large-panel residential buildings. In: Increase of efficiency of application of equipment and improvement of technology of engineering. VPI, Vladimir, pp. 54–58 (in Russian)

    Google Scholar 

  33. Egorov K E (1948) Deformation of the base of a round rigid foundation under an eccentric load. In: Bases and foundations. Issues of soil mechanics. Tr NIIOSP 11:119–138 (in Russian)

    Google Scholar 

  34. Egorov K E (1958) On the issue of the base calculation under a foundation with a ring-shaped footing. In: Bases and foundations. Soil mechanics. Tr NIIOSP 34:34–57 (in Russian)

    Google Scholar 

  35. Fadeev A B (1987) Finite-element method in geomechanics. Nedra, Moscow (in Russian)

    Google Scholar 

  36. Fadeev A B, Bakenov Kh Z, Repina P I (1988) Finite-element calculation of settlements for round punches and single piles with the account of strength-related and rheological properties of soils. LISI, Leningrad (in Russian)

    Google Scholar 

  37. Fadeev A B, Bakenov Kh Z, Repina P I et al. (1987) Geomekhanika CREEP-3 software for finite-element calculation of stress-strained state of round foundations with the account of deformational, strength-related and rheological properties of medium. Gos FAP SSSR No. 50870000956, Moscow (in Russian)

    Google Scholar 

  38. Fadeev A B, Matveyenko G A (1983) Semianalytical finite-element method for prediction of stress-strained state of bases for axisymmetrical foundations. In: Nonlinear soil mechanics: Proc 6th Rus Conf St Petersburg, vol. 1, pp. 146–149 (in Russian)

    Google Scholar 

  39. Fadeev A B, Matveyenko G A (1988) Semianalytical finite-element method for solving spatial problems of foundation engineering in elastic and elastoplastic formulation. Izv Vuzov Stroit (issue 12): 113–116 (in Russian)

    Google Scholar 

  40. Fadeev A B, Matveyenko G A (1990) Semianalytical finite-element method for solving spatial problems of geomechanics. In: Studies and developments on computer-aided design of foundations and bases. NPI, Novocherkassk, pp. 28–35 (in Russian)

    Google Scholar 

  41. Fadeev A B, Preger A L (1984) Solution of the combined axisymmetric problem of the theory of elasticity and plasticity by the finite-element method. Soil Mech Found Eng 21: 181–184

    Article  Google Scholar 

  42. Fadeev A B, Repina P I, Abdyldayev E K (1982) Finite-element method for solving geotechnical problems and Geomekhanika software. LISI, Leningrad (in Russian)

    Google Scholar 

  43. Fedorovskii V G (1973) Algorithm of calculation of settlements of deep supports with the account of gliding. In: Engineering constructions and theory of structures: Bases, foundations and soil mechanics. Vysheyshaya Shkola, Minsk (issue 2): 123–128 (in Russian)

    Google Scholar 

  44. Fedorovskii V G (1975) Settlements of piles in homogeneous and multilayer bases. In: Proc 1st Baltic Conf Mech Soil Found Eng, Gdansk, pp. 50–59 (in Russian)

    Google Scholar 

  45. Fedorovskii V G (1985) Modern methods of description of mechanical properties of soils. VNIIS, Moscow (in Russian)

    Google Scholar 

  46. Fedorovskii V G, Kurillo S V, Kulakov N A (1988) Computing the lateral load on piles and pile groups from the model of a linearly deformable half space. Soil Mech Found Eng 25: 166–172

    Article  Google Scholar 

  47. Filakhtov A L, Lubenets G K, Pisanko N V et al. (1981) Experience of construction using the "wall in ground" method. Budivelnyk, Kyiv (in Russian)

    Google Scholar 

  48. Gabibov F G (1995) Technology of production of a bored pile with a cross-section in the shape of an equilateral triangle, In: Proc 2nd Ukr Sci Eng Conf Soil Mech Found Eng. Pt 2. Efficient foundations produced with soil excavation, Poltava, pp. 114–117 (in Russian)

    Google Scholar 

  49. Gersevanov N M (1948) Experience of application of theory of elasticity to the determination of admissible loads on the soil based on experimental data. In: Selected works, vol. 1. Pile bases and calculation of foundations. Stroyvoyenmorizdat, Leningrad, pp. 236–260 (in Russian)

    Google Scholar 

  50. Glotov N M, Luga A A, Silin K S et al. (1975) Pile foundation. Transport, Moscow (in Russian)

    Google Scholar 

  51. Glushkov G I (1977) Calculation of structures, deepened into soil. Stroyizdat, Moscow (in Russian)

    Google Scholar 

  52. Glushkov V Ye, Mamayev N G, Kislitsyn S A (1994) Elastoplastic calculation of piramidal pile bases under inclined and off-centre loads, In: Proc Int Conf Pile Found Eng Problems. Pt 1. Improvement of methods of calculation and technology of pile foundation production. PGTU, Perm, pp. 86–88 (in Russian)

    Google Scholar 

  53. Golubkov V N, Morgulis N L, Nikitin V F (1977) Tapered-pile foundations with intermediate cushion. Soil Mech Found Eng 14: 331–334

    Article  Google Scholar 

  54. Gorbunov-Posadov M I, Malikova T A, Solomin V I (1984) Calculation of structures on an elastic base. Stroyizdat, Moscow (in Russian)

    Google Scholar 

  55. Gorbunov-Posadov M I, Sivtsova Ye P (1966) Check of a pile for sliding. In: Bases and foundations. Tr NIIOSP 56: 36–41 (in Russian)

    Google Scholar 

  56. Gorodetskiy A S, Zavoritskiy V I., Lantukh-Lyashchenko A I, Rasskazov A O (1989) Automation of calculations of transport buildings. Transport, Moscow (in Russian)

    Google Scholar 

  57. Gotman A L (1987) Analysis of tapered piles under combined action of vertical, horizontal, and flexural loads. Soil Mech Found Eng 24: 7–12

    Article  Google Scholar 

  58. Gotman A L (1996) On the calculation of variable cross-section piles on the horizontal load with the account of nonlinearity of deformation of soil and the pile material. In: Proc 5th Intern Conf Pile Found Eng Problems. RNKMGF, Moscow, vol. 1, pp. 41–46 (in Russian)

    Google Scholar 

  59. Grigoryan A A (1984) Pile foundations of buildings and structures on subsiding soils. Stroyizdat, Moscow (in Russian)

    Google Scholar 

  60. Grilitskii D V, Kizyma Ya M (1967) Concomitant torsion of a rod and half-space. Intern Appl Mech 3(issue 2): 54–59

    Google Scholar 

  61. Gwizdala K (1996) Analiza osiodan pali przy wykorzystaniu funkcji transformacyjnych. Zeszyty Naukowe Politechniki Gdanskiej. Nr. 532. Budownictwo Wodne, vol. XLI.

    Google Scholar 

  62. Hunter S C, Gamblen D (1975) The theory of a rigid circular disc ground anchor buried in an elastic soil either with adhesion or without adhesion. J Mech Phys Solids 22: 371–399

    Article  Google Scholar 

  63. Ikonin S V (1988) Application of an elastic half-space model for the calculation of short bored piles under a horizontal loading. In: Voronezh State University, Voronezh, pp. 103–107 (in Russian)

    Google Scholar 

  64. Ikonin S V (1992) Contact interaction of a deepened punch with a base at arbitrary static loading. In: Calculation and design of bases and foundations at complicated geotechnical conditions, VISI, Voronezh, pp. 82–86 (in Russian)

    Google Scholar 

  65. Ilyichev V A, Mongolov Yu V, Shayevich V M (1983) Pile foundations in seismic areas. Stroyizdat, Moscow (in Russian)

    Google Scholar 

  66. Ilyin V P, Karpov V V, Maslennikov A M (1990) Numerical methods of solving problems of engineering mechanics. Handbook. Vysheyshya shkola, Minsk (in Russian)

    Google Scholar 

  67. Instructions on design of foundations for machines subject to dynamic loads (1982) Gersevanov NIIOSP, Stroyizdat, Moscow (in Russian)

    Google Scholar 

  68. Instructions on design of pile foundations (1980) Stroyizdat, Moscow (in Russian)

    Google Scholar 

  69. Instructions on design of pyramidal pile foundations (1983) Glavn Upr Project Organiz, Moscow (in Russian)

    Google Scholar 

  70. Ivanov P L (1991) Soils and bases of hydrotechnical structures. Vysshaya shkola, Moscow (in Russian)

    Google Scholar 

  71. Kananyan A S, Kurnosov A I, Gorelov A V (1977) Designing the foundation bed of free-standing reinforced-concrete standards from deformations. Soil Mech Found Eng 14: 23–27

    Article  Google Scholar 

  72. Kananyan A S, Nikitenko M I (1973) Experimental studies of functioning of bases of horizontally loaded rigid pillars. In: Engineering structures and theory of buildings: Bases, foundations, and soil mechanics. Vysheyshaya shkola, Minsk 2: 185–194 (in Russian)

    Google Scholar 

  73. Kandaurov I I (1988) Mechanics of grain media and its application in engineering. Stroyizdat, Leningrad (in Russian)

    Google Scholar 

  74. Kanwal R P, Sharma D L (1976) Singularity methods for elasto-statics. J Elasticity 6: 405–418

    Article  MathSciNet  MATH  Google Scholar 

  75. Karasev O V, Talanov G P, Benda S F (1977) Investigation of the work of single situ-cast piles under different load combinations. Soil Mech Found Eng 14: 173–177

    Article  Google Scholar 

  76. Karasudhi P, Rajapakse R K N D, Hwang B Y (1984) Torsion of a long cylindrical elastic bar partially embedded in a layered elastic half space. Intern J Solids Struct 20: 1–11

    Article  MATH  Google Scholar 

  77. Keer L M (1975) Mixed boundary value problems for a penny-shaped cut. J Elasticity 5: 89–98.

    Article  MathSciNet  MATH  Google Scholar 

  78. Khazin V I (1984) Foundation structures for rural buildings on short pyramidal piles. Budivelnyk, Kyiv (in Russian)

    Google Scholar 

  79. Khazin V I (1990) Study of functioning of new compaction piles for rural buildings. In: Bases and foundations at geological conditions of the Urals. PPI, Perm, pp. 23–24 (in Russian)

    Google Scholar 

  80. Khazin V I, Khazin S V (1995) Study of functioning of anchor piles for pulling load. In: Proc 2nd Ukr Sci Conf Soil Mech Effect Eng. Pt 1. Effective foundations erected without soil excavation. PTU, Poltava, pp. 56–59 (in Russian)

    Google Scholar 

  81. Kholmyanskii M L (1991) Consideration of the effect of embedment depth and lateral backfilling of machine foundations on the dynamic properties of their beds. Soil Mech Found Eng 28: 223–228

    Article  Google Scholar 

  82. Kholmyanskii M L (1993) Effect of the complex shape of the underground part on the dynamical properties of deepened foundations for machines. Izv Vuzov Stroit (issue 2): 101–104 (in Russian)

    Google Scholar 

  83. Khozhmetov G Kh, Shakasymov Sh (1986) Interaction of complex foundations with bases. Izv AN UzSSR Ser Tekhn (issue 2): 44–46 (in Russian)

    Google Scholar 

  84. Kirilin V M (1975) Calculation of piles for horizontal and momental loads using the possible displacement method. Izv AN KazSSR Ser Fiz-Mat (issue 3): 53–58 (in Russian)

    Google Scholar 

  85. Kirillov V M (1983) Plastic flow of soils. Izv Vuzov Stroit Arkhit (issue 5): 20–25 (in Russian)

    Google Scholar 

  86. Kirillov V M (1986) Nonlinear pile settlement. Izv Vuzov Stroit Arkhit (issue 6): 26–31 (in Russian)

    Google Scholar 

  87. Kirillov V S (1980) Bases and foundations. Transport, Moscow (in Russian)

    Google Scholar 

  88. Kiselev V A (1976) Engineering mechanics. Stroyizdat, Moscow (in Russian)

    Google Scholar 

  89. Klein G K (1977) Engineering mechanics of granular bodies. Stroyizdat, Moscow (in Russian)

    Google Scholar 

  90. Klein G K, Cherkasov I I (1985) Foundations of urban transport structures. Stroyizdat, Moscow (in Russian)

    Google Scholar 

  91. Klimanov V I, Litvinenko A G, Kavayeva V P (1988) Conical shell foundations. Stroyizdat, Moscow (in Russian)

    Google Scholar 

  92. Kofman M M, Gumerov A G, Bikbayev A Z, Molodtsov G I (1993) Erection of tubular piles in frozen soils using explosion energy. In: Functioning of oil industry equipment and pipelines. Institute of Problems of Power Resources for Transport, Ufa, pp. 100–108 (in Russian)

    Google Scholar 

  93. Kogan B M, Zinchenko V D (1960) Stressed state of a nonhomogeneous layer, resting on an elastic half-space. Izv Vuzov Stroit Arkhit (issue 3): 8–18 (in Russian)

    Google Scholar 

  94. Komzina A A (1984) Foundations of agricultural buildings. Kuibyshev State University, Kuibyshev (in Russian)

    Google Scholar 

  95. Konovalov P A (1988) Soil bases and foundations of buildings under reconstruction. Stroyizdat, Moscow (in Russian)

    Google Scholar 

  96. Korzh I V, Buslov A S (1972) Experience of application of short bored piles. Transport Stroit (issue 9): 49 (in Russian)

    Google Scholar 

  97. Kosorukov I I (ed) (1974) Pile works. Vysshaya Shkola, Moscow (in Russian)

    Google Scholar 

  98. Kosterin E V (1978) Bases and foundations. Vysshaya Shkola, Moscow (in Russian)

    Google Scholar 

  99. Kravtsov V N (1990) Experimental studies of driven pyramidal piles with T-shaped section. In: Bases and foundations in the geological conditions of the Urals. PPI, Perm, pp. 14–16 (in Russian)

    Google Scholar 

  100. Kryukov K P, Kurnosov A I, Novgorodtsev B P (1975) Construction and design of metal and ferroconcrete power line supports. Energiya, Leningrad (in Russian)

    Google Scholar 

  101. Kushner S G (1990) Calculation of settlements of bases under buildings and structures. Budivelnyk, Kyiv (in Russian)

    Google Scholar 

  102. Lapshin F K (1979) Calculation of piles according to limiting conditions. Saratov State University, Saratov (in Russian)

    Google Scholar 

  103. Lazarev G B (1977) Use of pyramidal piles for greenhouse foundations. Soil Mech Found Eng 14: 20–22

    Article  Google Scholar 

  104. Ledenev V V (1973) Study of interaction of a pier foundation, fixed in the soil, with the base under an off-centre load. Ph D thesis, Novocherkassk (in Russian)

    Google Scholar 

  105. Ledenev V V (1978) Experience of implementation of bored pile foundations at the construction of buildings with a spacer-type scheme. In: Mechanics of soils, bases and foundations. Voronezh State University, Voronezh, pp. 103–109 (in Russian)

    Google Scholar 

  106. Ledenev V V, Shelyapin R S (1973) Approximate determination of the settlement of a rigid rectangular deep foundation by their corner point method. Soil Mech Found Eng 10: 22–24

    Article  Google Scholar 

  107. Levachev S N, Fedorovskiy V G, Kurillo S V, Kolesnikov Yu M (2002) Piles in hydrotechnical engineering. Balkema, Rotterdam

    Google Scholar 

  108. Levenstam V V (1973) Study of interaction of short pile foundations with soil under a horizontal load. Ph D thesis, Rostov-na-Donu (in Russian)

    Google Scholar 

  109. Likhovtsev V M (1976) Displacement and contact pressures for a rigid sunken plate. Soil Mech Found Eng 13: 414–419

    Article  Google Scholar 

  110. Likhovtsev V M (1978) Deformation of an elastic half-space with a cylindrical cutout. In: Bases, foundations and underground structures. Tr NIIOSP 69: 73–78 (in Russian)

    Google Scholar 

  111. Luchkovskii I Ya, Lekumovich G S (1971) Analysis of laterally loaded piles in cohesive soils. Soil Mech Found Eng 8: 184–187

    Article  Google Scholar 

  112. Luco J E (1976) Torsion of a rigid cylinder embedded in an elastic half space. Trans ASME J Appl Mech 43: 419–423

    Article  MATH  Google Scholar 

  113. Malatsidze E G, Slyusarenko S A (1977) Design of foundations of short piles operating at horizontal loads. Bases and foundations. Budivelnyk, Kyiv 10: 69–72 (in Russian)

    Google Scholar 

  114. Mal’tsev A T, Sazhin V S (1980) Behavior of short piles in collapsible soils under the action of inclined forces. Soil Mech Found Eng 17: 235–239

    Article  Google Scholar 

  115. Manual for the design of bases for buildings and structures (for the Construction Rules and Regulations 2.02.01-83) (1986) Gersevanov NIIOSP, Stroyizdat, Moscow (in Russian)

    Google Scholar 

  116. Milligan G W E, Houlsby G T, Onisi Yu et al. (1991) Software for soil mechanics and foundation engineering. Likhovtsev V M (ed). Stroyizdat, Moscow (in Russian)

    Google Scholar 

  117. Mironov V S (1955) Practical method for calculation of piles for the action of horizontal loads. Izv Vuzov Stroit Arkhit (issue 5): 24–32 (in Russian)

    Google Scholar 

  118. Mironov V S, Krovyakov V N (1978) Testing of batter piles under the combined effect of vertical and horizontal loads. Soil Mech Found Eng 15: 299–303

    Article  Google Scholar 

  119. Mironov V S, Krovyakov V N (1980) Experimental studies of resistance of vertical and inclined piles to the action of inclined loads. Izv Vuzov Stroit Arkhit (issue 8): 123–126 (in Russian)

    Google Scholar 

  120. Molenkamp F (1981) Elasto-plastic double hardening model MONOT. LGM ReportCO-218595. Geotechnics, Delft

    Google Scholar 

  121. Mura T (1982) Micromechanics of defects in solids. Nijhoff, the Hague/Boston

    Book  Google Scholar 

  122. Mura T (1988) Inclusion problems. Appl Mech Rev 41: 15–20

    Article  Google Scholar 

  123. Murzenko Yu N (1989) Computer-aided calculation of bases fir buildings and structures at the elastoplastic stage of functioning. Stroyizdat, Leningrad (in Russian)

    Google Scholar 

  124. Nikolaevsky V N, Kuznetsov A S, Bellendir E N (1991) Mathematical dilatancy theory and conditions at strong discontinuities. Intern J Eng Sci 29: 1375–1389.

    Article  MathSciNet  Google Scholar 

  125. Oding B S (1968) Investigation of the stressed state and deformations of soil at the transfer of load by means of a pile. Izv Vuzov Stroit Arkhit (issue 10): 38–42 (in Russian)

    Google Scholar 

  126. Oding B S (1984) On the interaction of a conical pile with soil. In: Investigation of rational foundation structures. Voronezh State University, Voronezh, pp. 67–74 (in Russian)

    Google Scholar 

  127. Oding B S, Shelyapin R S (1964) Application of Mindlin’s solution for the determination of stress around piles. In: Theory of buildings and structures, No. 10(issue 1): 134–153 (in Russian)

    Google Scholar 

  128. Ofrikhter V G (1996) Numerical modelling of interaction of pile foundations with the surrounding soil. In: Proc 5th Inter Conf Problems Pile Found Eng, RNKMGF, Moscow, vol. 1, pp. 124–126 (in Russian)

    Google Scholar 

  129. Ogranovich A B (1989) Calculation of a rigid pyramidal pile for a horizontal load in an elastic half-space. Stroit Mekh Raschet Sooruzh (issue 4): 7–9 (in Russian)

    Google Scholar 

  130. Ogranovich A B (1990) Calculation of settlement for a variable cross-section pile. Izv Vuzov Stroit Arkhit (issue 12): 97–100 (in Russian)

    Google Scholar 

  131. Ogranovich A B (1991) Consideration of soil discontinuities in the analysis of tapered piles under horizontal loading. Soil Mech Found Eng 28: 40–43

    Article  Google Scholar 

  132. Ogranovich A B (1992) Calculation of a deepened beam on an elastic base (spatial problem). Izv Vuzov Stroit (issue 9–10): 25–28 (in Russian)

    Google Scholar 

  133. Ogranovich A B (1992) Numerical method of calculation of settlement and slope of a rigid foundation with a rectangular bottom, deepened into an elastic half-space. Izv Vuzov Stroit (issue 1): 114–117 (in Russian)

    Google Scholar 

  134. Ogranovich A B (1992) Settlement of a round rigid foundation, deepened into an elastic half-space. Izv Vuzov Stroit (issue 11–12): 29–33 (in Russian)

    Google Scholar 

  135. Pak R Y S, Gobert A T (1989) Computational aspects in a mathematical analysis of an inclusion problem. Proc Can Congr Appl Mech 2: 542–543

    Google Scholar 

  136. Pavlov V V (1992) Slotted foundation of buildings. Stroyizdat, Krasnoyarsk (in Russian)

    Google Scholar 

  137. Pavlov V V, Katsov K P, Smorodinov M I (1992) Slit foundations of industrial and civic buildings in the middle Urals. Soil Mech Found Eng 29: 140–143

    Article  Google Scholar 

  138. Perley Ye M (1969) Tubular ferroconcrete piles for industrial and civil engineering. Stroyizdat, Leningrad (in Russian)

    Google Scholar 

  139. Petrenko G M, Orobchenko P A, Tsymbal S I (1972) Data for the calculation of piles from the base deformations. In: Osnovaniya i fundamenty. Budivelnyk, Kyiv (issue 5): 78–85 (in Russian)

    Google Scholar 

  140. Petrenko G M, Vasilenko A Yu (1972) On the methods of determination of stress in the base of a hanging pile. In: Bases and foundations. Budivelnyk, Kyiv (issue 5): pp. 20–26 (in Russian)

    Google Scholar 

  141. Pilyagin A V (1992) Nonlinear methods deformation-based of calculation of bases of foundations of various type. In: Efficiency of foundation design solutions, Mariy Polytechnical Institute, Yoshkar-Ola, pp. 94–99 (in Russian)

    Google Scholar 

  142. Pilyagin A V, Kazantsev S V, Kazantseva N N (1985) Elastoplastic calculation of a soil base at the conditions of a spatial stress-strained state. Mariy Polytechnical Institute, Yoshkar-Ola, VNIIIS No. 5713 (in Russian)

    Google Scholar 

  143. PLAXIS – Finite Element Code for Soil and Rock Analyses. Ver. 7. General Information and Tutorial Manual (1998) Balkema, Rotterdam

    Google Scholar 

  144. Ponomarev A B (1988) Study of bearing capacity of hollow conical piles. In: Bases and foundations in the geological conditions of the Urals. PPI, Perm, pp. 29–33 (in Russian)

    Google Scholar 

  145. Popovich A P, Koldyrev V I (1991) Spatial foundations of structural type. In: Spatial constructions in Krasnoyarsk region. KISI, Krasnoyarsk, pp. 107–116 (in Russian)

    Google Scholar 

  146. Poulos H G (1971) The behaviour of laterally loaded piles: I. Single piles. J Soil Mech Founds Divn ASCE 97: 711–731

    Google Scholar 

  147. Poulos H G (1971) The behaviour of laterally loaded piles: II. Pile groups. J Soil Mech Founds Divn ASCE 97: 733–751

    Google Scholar 

  148. Poulos H G (1975) Torsional response of piles. J Geotech Eng ASCE 101: 1014–1035

    Google Scholar 

  149. Poulos H G, Davis E H (1980) Pile foundation analysis and design. Wiley, New York

    Google Scholar 

  150. Poulos H G, Davis E N (1968) The settlement behaviour of single axially-loaded incompressible piles and piers. Geotechnique 18: 351–371.

    Article  Google Scholar 

  151. Rabotnikov A, Zats S (1970) Experience of application of short bored piles. Promysh Stroit Inzh Sooruzh (issue 6): 6–7 (in Russian)

    Google Scholar 

  152. Rajapakse R K N D (1988) The interaction between a circular elastic plate and a transversely isotropic elastic halfspace. Intern J Num Anal Method Geomech 12: 419–436.

    Article  Google Scholar 

  153. Rajapakse R K N D, Selvadurai A P S (1985) Torsional stiffness of non-uniform and hollow rigid piers embedded in isotropic elastic media. Intern J Num Anal Method Geomech 9: 1213–1229.

    Google Scholar 

  154. Rajapakse R K N D, Selvadurai A P S (1989) Torsion of foundations embedded in a non-homogeneous soil with a weathered crust. Geotechnique 39: 485–496

    Article  Google Scholar 

  155. Rajapakse R K N D, Selvadurai A P S (1991) Response of circular footings and anchor plates in non-homogeneous elastic soils. Intern J Num Anal Method Geomech 15: 457–470

    Article  Google Scholar 

  156. Randolph M F (1981) Piles subjected to torsion. J Geotech Eng ASCE 107: 1095–1111.

    Google Scholar 

  157. Rausch E (1959) Maschinenfundamente und Andere Dynamisch Beanspruchte Baukonstruktionen. VDI-Verlag, Düsseldorf

    Google Scholar 

  158. Recommendations on design and construction of slotted foundations (1982) Gersevanov NIIOSP, Moscow (in Russian)

    Google Scholar 

  159. Recommendations on design and construction of slotted foundations in the conditions of the Central Urals (1990) UPI, Sverdlovsk (in Russian)

    Google Scholar 

  160. Recommendations on the calculation of bases under foundations with an inclined bottom (1983) Gersevanov NIIOSP, Moscow (in Russian)

    Google Scholar 

  161. Recommendations on the calculation of nonlinear settlements of deep supports using a computer (1974) Gersevanov NIIOSP, Moscow (in Russian)

    Google Scholar 

  162. Recommendations on the rational usage of piles of various type in engineering (1982) Gersevanov NIIOSP, Moscow (in Russian)

    Google Scholar 

  163. Redkov V I (1982) Calculation of the settlement of a round rigid punch, deepende into an elastic half-space. In: Bases and foundations. PPI, Perm, pp. 44–51 (in Russian)

    Google Scholar 

  164. Reisner E, Sagoci H (1944) Forced torsional oscillation of an elastic half-space. J Appl Phys 15: 652–662.

    Article  MathSciNet  Google Scholar 

  165. Rower R K, Booker J R (1979) A method of analysis of horizontally embedded anchors in an elastic soil. Intern J Num Anal Method Geomech 3: 187–203.

    Article  Google Scholar 

  166. Rybalko Yu Ya (1968) Foundations of short bored post piles. Promysh Stroit (issue 6): 46 (in Russian)

    Google Scholar 

  167. Ryzhenko A P (1973) Work of a pile raft of bored piles for the action of horizontal forces. Transport Stroit (issue 4): 43–44 (in Russian)

    Google Scholar 

  168. Sakharov A S, Boyko I P, Kozak A L (1983) Summary of the Rosinka software. Osnovaniya, Fundamenty Mekh Gruntov (issue 5): 7 (in Russian)

    Google Scholar 

  169. Saprykina N M (1977) Application of short bored piles in rural engineering. Promysh Stroit (issue 9): 25 (in Russian)

    Google Scholar 

  170. Savchenko F M, Oding B S (1988) Economically efficient foundations under strutted structures of agricultural buildings. In: Pile foundation studies. Voronezh State University, Voronezh, pp. 162–167 (in Russian)

    Google Scholar 

  171. Savinov O A (1979) Modern design of foundations under machines and their calculation. Stroyizdat, Leningrad (in Russian)

    Google Scholar 

  172. Sazhin V S, Shishkin V A, Zhanalinov B N (1991) Design and technology of erection of foundations on heaving soils. Gylym, Almaty (in Russian)

    Google Scholar 

  173. Schofield A, Wroth P (1968) Critical state soil mechanics. McGraw-Hill, London.

    Google Scholar 

  174. Segerlind L J (1976) Applied finite element analysis. John Wiley & Sons, New York

    MATH  Google Scholar 

  175. Selvadurai A P S (1976) The load-deflexion characteristics of a deep rigid anchor in an elastic medium. Geotechnique 26: 603–612

    Article  Google Scholar 

  176. Selvadurai A P S (1979) An energy estimate of the flexural behaviour of a deep rigid anchor embedded in an isotropic elastic medium. Intern J Num Anal Method Geomech 3: 285–292.

    Article  MATH  Google Scholar 

  177. Selvadurai A P S (1979) On the displacement of a penny-shaped rigid inclusion embedded in a transversely isotropic elastic medium. Solid Mech Arch 4: 163–172.

    MATH  Google Scholar 

  178. Selvadurai A P S (1980) The eccentric loading of a rigid circular foundation embedded in an isotropic elastic medium. Intern J Num Anal Method Geomech 4: 121–129

    Article  MATH  Google Scholar 

  179. Selvadurai A P S (1984) Elastostatic bounds for the stiffness of an elliptical disk inclusion embedded at a transversely isotropic bi-material elastic interface. J Appl Math Phys (ZAMP) 35: 64–77.

    Google Scholar 

  180. Selvadurai A P S (1984) Torsional stiffness of rigid piers embedded in isotropic elastic soils. Laterally loaded deep foundations: analysis and performance. ASTM STP 835: 49–55

    Google Scholar 

  181. Selvadurai A P S (1989) The influence of a boundary fracture on the elastic stiffness of a deeply embedded anchor plate. Intern J Num Anal Method Geomech 13: 159–170.

    Article  MATH  Google Scholar 

  182. Selvadurai A P S (1993) The axial loading of a rigid circular anchor plate embedded in an elastic half-space. Intern J Num Anal Method Geomech 17: 343–353.

    Article  MATH  Google Scholar 

  183. Selvadurai A P S (1994) A unilateral contact problem for a rigid disk inclusion embedded between two dissimilar elastic half-spaces. Q J Mech Appl Math 47: 493–510.

    Article  MATH  Google Scholar 

  184. Selvadurai A P S, Au M C (1986) Generalized displacements of a rigid elliptical anchor embedded at a bi-material geological interface. Intern J Num Anal Method Geomech 10: 633–652

    Article  MATH  Google Scholar 

  185. Selvadurai A P S, Bauer G E, Nicholas T J (1980) Screw plate testing of a soft clay. Can Geotechn J 17: 465–472

    Article  Google Scholar 

  186. Selvadurai A P S, Nicholas T J (1979) A theoretical assessment of the screw plate test. In: Wittke W (ed) Proc 3rd Intern Conf Numerical Methods Geomech 3: 1245–1252

    Google Scholar 

  187. Selvadurai A P S, Rajapakse R K N D (1987) Variational scheme for analysis of torsion of embedded nonuniform elastic bars. J Eng Mech ASCE 113: 1534–1550.

    Article  Google Scholar 

  188. Selvadurai A P S, Singh B M (1986) The axial displacement of a disc inclusion embedded in a penny-shaped crack. J Appl Math Phys (ZAMP) 37: 64–77

    Article  MATH  Google Scholar 

  189. Selvadurai A P S, Singh B M, Au M C (1990) The in-plane loading of a rigid disk inclusion embedded in an elastic halfspace. Trans ASME J Appl Mech 58: 362–369

    Article  Google Scholar 

  190. Shadunts E G (1973) Calculation of one-row pile foundations with a pile raft, resting on the soil. Izv Vuzov Stroit Arkhit (issue 9): 22–27 (in Russian)

    Google Scholar 

  191. Shadunts K Sh, Podetlkov V V (1990) Arch foundations and their calculation with the account of sliding on the base. In: Studies and developments on computer-aided design of foundation and bases. NPI, Novocherkassk, pp. 87–95 (in Russian)

    Google Scholar 

  192. Shapiro D M (1985) Practical method of analysis of bases and earth structures in nonlinear formulation. Soil Mech Found Eng 22: 182–187

    Article  Google Scholar 

  193. Shapiro D M (1993) Mathematical modelling of limiting states of bored piles. In: Nonlinear soil mechanics. Proc 4th Russ Conf St Petersburg 1: 140–145 (in Russian)

    Google Scholar 

  194. Shapiro D M, Poltorak G V (1989) Program for elastoplastic numerical calculation of soil structures and structures, interacting with soil. Osnovaniya Fundamenty Mekh Gruntov (issue 5): 20 (in Russian)

    Google Scholar 

  195. Shapiro D M, Poltorak G V (1990) Implementation of nonlinear calculation method at the design of bases and soil structures. In: Nonlinear methods of calculation of bases and foundation. Mariy Polytechnical Institute, Yoshkar-Ola, pp. 24–27 (in Russian)

    Google Scholar 

  196. Shapiro D M, Zotsenko N L, Beda S V (1996) Elastoplastic calculation of bearing capacity of piles. Izv Vuzov Stroit Arkhit (issue 6): 34–39 (in Russian)

    Google Scholar 

  197. Shekhter O Ya (1956) On the calculation of a deepened rigid foundation. In: Mechanics of soils. Tr NIIOSP 30: 45–60 (in Russian)

    Google Scholar 

  198. Shelyapin R S (1965) Approximate determination of settlement of a rigid round deepened foundation. Izv Vuzov Stroit Arkhit (issue 6): 11–18 (in Russian)

    Google Scholar 

  199. Shvets N S, Sedin V L, Kirichek Yu A (1987) Structural methods of reduction of vibrations of foundations for machines with dynamical loads. Stroyizdat, Mocsow (in Russian)

    Google Scholar 

  200. Shvets N S, Zakhvatkin M P (1995) Study of functioning of piles of non-traditional shape at horizontal dynamic load. In: Proc 2nd Ukr Sci Conf Soil Mech Found Eng. Pt 1: Efficient foundations, erected without soil excavation. PTU, Poltava, pp. 69–71 (in Russian)

    Google Scholar 

  201. Shvets V B, Ginzburg L L, Goldshtein V M et al. (1987) Handbook on mechanics and dynamics of soils. Budivelnyk, Kyiv (in Russian)

    Google Scholar 

  202. Silin K S, Glotov N M, Zavriev K S (1981) Design of deep foundations. Transport, Moscow (in Russian)

    Google Scholar 

  203. Simvulidi I A (1978) Calculation of engineering structures on an elastic base. Vysshaya Shkola, Moscow (in Russian)

    Google Scholar 

  204. Sivtsova Ye P (1963) Calculation of settlement of a single pile with the account of the tip functioning. Tr NIIOSP 53: 47–66 (in Russian)

    Google Scholar 

  205. Smorodinov M I (1983) Anchors in engineering. Stroyizdat, Moscow (in Russian)

    Google Scholar 

  206. Smorodinov M I, Fedorov B S (1986) Construction of structures and foundations using a "wall in the soil" method. Stroyizdat, Moscow (in Russian)

    Google Scholar 

  207. SNIP (Construction Rules and Regulations) 2.02.01-83. Bases for buildings and structures (1985) Stroyizdat, Moscow (in Russian)

    Google Scholar 

  208. SNIP (Construction Rules and Regulations) 2.02.03-85. Pile foundations (1986) Stroyizdat, Moscow (in Russian)

    Google Scholar 

  209. Snitko N K, Snitko A N (1967) Calculation of rigid and flexible supports embedded in the ground under the simultaneous action of horizontal and vertical forces. Soil Mech Found Eng 4: 153–156

    Article  Google Scholar 

  210. Solovyov Yu I, Vlasov Yu V (1974) Investigations and engineering calculation method of short piles in subsidence soil on the action of horizontal loads. In: Engineering and geological conditions and specific features of foundation engineering in Siberia. Proc NIIZHTA, Novosibirsk 152: 108–119 (in Russian)

    Google Scholar 

  211. Sorochan E A (1986) Foundations of industrial buildings. Stroyizdat, Moscow (in Russian)

    Google Scholar 

  212. Sorochan E A, Gruodis R Yu (1983) Performance of cast-in-place concrete foundations in interaction with the soil. Soil Mech Found Eng 20: 204–208

    Article  Google Scholar 

  213. Sorochan E A, Li E A (1993) Investigation of the operation of pyramidal piles in swelling soils. Soil Mech Found Eng 30: 42–46

    Article  Google Scholar 

  214. Sorochan E A, Piven V G, Rybnikov A M (1991) Monolithic foundations with an effective lateral surface. Soil Mech Found Eng 28: 99–102

    Article  Google Scholar 

  215. Sorochan E A, Trofimenkov Yu G (ed) (1985) Bases, foundations and underground structures: Designer’s handbook. Stroyizdat, Moscow (in Russian)

    Google Scholar 

  216. Sotnikov S N (1992) On the evaluation of reliability of results of calculation of final settlement of bases under buildings and structures. In: Erection and reconstruction of foundations on weak soils. SPBISI, St. Peterburg, pp. 5–13 (in Russian)

    Google Scholar 

  217. Ten I A (1964) Effect of friction forces at the calculation of foundations with the account of fixation. Transport Stroit (issue 10): 39–41 (in Russian)

    Google Scholar 

  218. Tetior A N, Felkin V I, Surguchev V G (1981) Design of foundations. Budivelnyk, Kyiv (in Russian)

    Google Scholar 

  219. Timoshenko S P, Goodier J N (1970) Theory of elasticity, 3rd edn. McGraw-Hill, New York

    MATH  Google Scholar 

  220. Tishin V G (1985) Bases and foundations of objects of oil and gas industry. Stroyizdat, Moscow (in Russian)

    Google Scholar 

  221. Trofimenkov Yu G, Vorobkov L N (1981) Field methods for the studies of constructive properties of soils. Stroyizdat, Moscow (in Russian)

    Google Scholar 

  222. Tsiprianovich I V (1971) On the calculation of piles with widenings for horizontal load from the base deformations. In: Bases and foundations. Budivelnyk. Kyiv 4: 122–127 (in Russian)

    Google Scholar 

  223. Ukhov S B (1973) Calculation of structures and bases using the finite-element method. MISI, Moscow (in Russian)

    Google Scholar 

  224. Ukhov S B, Semenov V V, Znamenskii V V et al. (1994) Soil mechanics, bases and foundations. Association of Engineering Institutions, Moscow (in Russian)

    Google Scholar 

  225. Ulitskiy V M, Shashkin A G (1999) Supervision of urban reconstruction (investigation, calculations, works implementation, monitoring). ASV, Moscow (in Russian)

    Google Scholar 

  226. Urban I V (1939) Calculation of thin walls with the account of elastic properties of the soil and the wall. In: Issues of Engineering Mechanics. MIIT Works 55: 43–69 (in Russian)

    Google Scholar 

  227. Vershinin V P, Kovalev I P, Chelnokov Ye L (1978) Bored pile foundations with support widenings. Stroyizdat, Leningrad (in Russian)

    Google Scholar 

  228. Veryuzhskiy Yu V (1978) Numerical methods of potential in some problems of applied mechanics. Vyshcha Shkola, Kyiv (in Russian)

    Google Scholar 

  229. Vyalov S S (1978) Rheological principles of soil mechanics. Vysshaya shkola, Moscow (in Russian)

    Google Scholar 

  230. Wet J (1966) Application of energy hypothesis in soil mechanics. In: Soil mechanics and foundation engineering. Proc 5th Intern Conf Stroyizdat, Moscow, pp. 105–114 (in Russian)

    Google Scholar 

  231. Williams I, Hiecks M A (1992) Finite-Elemente-Prognose für ein schrag belastetes Fundament. Geotechnik 15: 66–72.

    Google Scholar 

  232. Wilson E L (1965) Calculation of strength of axially symmetrical bodies. Raket Tekh Kosmonavt (issue 12): 124–131 (in Russian)

    Google Scholar 

  233. Winnicki L A, Zienkiewicz O C (1979) Plastic (or visco-plastic) behaviour of axisymmetric bodies subjected to nonsymmetric loading – semi-analytical finite element solution. Intern J Num Method Eng 14: 1399–1412

    Google Scholar 

  234. Yagudin A M, Druzhinin G A (1968) Foundations for buildings of driven piles with a radial widened footing. Promyshlennoye Stroitelstvo (issue 11): 19–22 (in Russian)

    Google Scholar 

  235. Yarutin V M (1974) Flow-line construction of cast-in-place pile foundations of farm buildings. Soil Mech Found Eng 11: 375–380

    Article  Google Scholar 

  236. Zabylin M I, Linovskii S V, Nuzhdin L V (1991) Design of pile foundations under machines. NISI, Novosibirsk (in Russian)

    Google Scholar 

  237. Zakhvatkin M P, Shvets N S (1989) Studies of functioning of piles of various shape under dynamic loads. In: Foundations under machines with dynamic loads. Proc Intern Symp Stroyizdat, Leningrad, pp. 195–198 (in Russian)

    Google Scholar 

  238. Zaretskii Yu K, Karabaev M I (1985) Limit-state design of cast-in-place piles. Soil Mech Found Eng 22: 169–175

    Article  Google Scholar 

  239. Zaretskii Yu K, Karabaev M I (1987) Analysis of settlements of bored-cast-in-place piles in collapsible soils. Soil Mech Found Eng 24: 13–19

    Article  Google Scholar 

  240. Zaretskii Yu K, Lombardo V N (1983) Statics and dynamics of earth-fill dams. Energoatomizdat, Moscow (in Russian)

    Google Scholar 

  241. Zaretskii Yu K, Orekhov V V, Karabayev M I (1984) Application of the finite-element method to the calculation of bored pile foundations. In: Modern computer-based methods of calculation of hydropower and nuclear power plants. Tr Gidroproekta im S Zhuka 100: 3–10 (in Russian)

    Google Scholar 

  242. Zavriev K S (1976) Approximate method of designing piles for horizontal loading and determining their flexibility. Soil Mech Found Eng 13: 152–156

    Article  Google Scholar 

  243. Zavriev K S, Kryukov Ye P, Shpiro G S (1960) Study of the bearing capacity of foundations under contact line suports. Tr VNIITS. Transzheldorizdat, Moscow, 39: 1–216 (in Russian)

    Google Scholar 

  244. Zavriev K S, Shpiro G S (1970) Calculation of foundations under deep bridge piers. Transport, Moscow (in Russian)

    Google Scholar 

  245. Zhemochkin B N (1948) Calculation of the elastic fixation of a rod (rod bending in an elastic half-space). Stroyizdat, Moscow (in Russian)

    Google Scholar 

  246. Zhemochkin B N, Sinitsyn A P (1962) Practical methods of calculation for beams and plates on an elastic base without Winkler hypothesis. Gosstroyizdat, Moscow (in Russian)

    Google Scholar 

  247. Zhukov N V, Dondysh A M, Pogosyan Z G et al. (1972) Short piles in rural engineering. ONTI CNIIEPSelstroy, Moscow (in Russian)

    Google Scholar 

  248. Zienkiewicz O C (1971) The finite element method in engineering science. McGraw-Hill, London

    MATH  Google Scholar 

  249. Ziyazov Ya Sh (1977) On the calculation of pyramidal piles in a nonhomogeneous base under a vertical and a horizontal load. In: Foundation engineering issues. Niipromstroy, Ufa 21: 40–45 (in Russian)

    Google Scholar 

  250. Zotsenko N L (1988) On the calculation of pyramidal piles under a combined action of vertical and horizontal loads. In: Pile foundation studies, Voronezh State University, Voronezh, pp. 94–102 (in Russian)

    Google Scholar 

  251. Zureick A H (1988) Transversely isotropic elastic medium with a rigid spheroidal inclusion under an axial pull. Trans ASME J Appl Mech 55: 495–497

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Voronezh State Architecture and Civil Engineering University, 20-Letya Oktyabrya Street, 84, 394006, Voronezh, Russia

    Sergey M. Aleynikov†

Authors
  1. Sergey M. Aleynikov†
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sergey M. Aleynikov† .

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Aleynikov†, S.M. (2010). Calculation of Bases for Rigid Complex-Shaped Deepened Foundations According to the Second Limiting State in a Three-Dimensional Formulation. In: Spatial Contact Problems in Geotechnics. Foundations of Engineering Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/b11479_5

Download citation

  • DOI: https://doi.org/10.1007/b11479_5

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25138-5

  • Online ISBN: 978-3-540-44776-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation