Application of the boundary element meth-od to the mechanics of deformed soils
Main Article Content
Abstract
Due to the transition of modern buildings to the frame-monolithic scheme, buildings grow up and down. This increases the pressure on the foundations and leads to the need to solve nonlinear problems of soil mechanics in their design, since the main problem of technical systems is reliability. Recently, there has been a clear tendency to strengthen theoretical research in foundation engineering. Obtaining reliable modeling results in most cases is reduced to the use of nonlinear elastic-plastic models based on the theory of plastic flow, dilatancy relations of V.M. Nikolayevsky and I.P. Boyko.
Domestic geotechnics is on the path of intensive development. Numerical methods based on elastic-plastic models are widely used. The destruction of discrete materials (including soil) occurs as a result of the accumulation of plastic (residual) deformations, which in the limiting state causes a break in the continuity of the massif in the form of mutual slippage of its particles. The effect of plasticity is manifested in the development of displacements and redistribution of internal forces. The strength of the bonds in dispersed soils is much lower than the strength of the particles themselves, and in the absence of adhesion forces (sand), the main factor of deformation of the soil base is the forces of contact interaction and deformation associated with repacking of particles.
The main direction of development in construction is the use of new, rational and efficient pile designs that would increase their bearing capacity, manufacturability and installation.
Low utilization of the material strength of square piles - low specific bearing capacity (25-60%) - hinders technical and economic progress in construction and requires the use of new efficient and rational pile designs. The introduction of piles with a complex cross-sectional shape is promising in this direction and is described in (Malyshev, 2011).
Despite a considerable number of experimental studies of piles with complex cross-sectional shapes, there are few specific guidelines for their operation and calculation. The most efficient piles are cross-sectional, I-beam, and tavern piles. The least effective are round and square piles. It is also important to take into account and not to take into account the filling of the volume between the pile ribs with soil, since piles with a complex shape of the lateral surface (I-beam, I-beam, cross-shaped) have a different nature of soil compaction around their lateral surface and involve in their work some compacted soil zone that is formed between the pile ribs during their deepening, as noted in (Malyshev, 2011).
Therefore, verification of the methodology for calculating the bearing capacity and deformation of the soil base by the numerical FEM of this type of piles, static vertical load, is an urgent task.
Article Details

This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors are published in this journal, agree to the following conditions:
Authors reserve the right to authorship of their work and transfer the journal the right of the first publication of this work under the terms of the Creative Commons Attribution License, which allows other persons to freely distribute published work with mandatory reference to authors original work and the first publication of work in this journal.
The authors have the right to enter into independent additional agreements on the non-exclusive dissemination of the work in the form in which it was published by this journal (for example, to post work in the electronic repository of the institution or to publish as part of a monograph), provided that the reference to the first publication of the work in this journal is maintained.
The journal's policy allows and encourages the authors to place the manuscript of the work on the Internet (for example, in the institutions' storehouses or on personal websites), both for presenting this manuscript to the editorial office and during its editorial processing, as this contributes to the creation of productive scientific discussion and positively affects the efficiency and dynamics of citing the published work (see The Effect of Open Access).
References
Малишев, О.В. (2011). Статичні випробовування таврових паль в польових умовах. Тези доповідей НТК молодих вчених, аспірантів і студентів ч.1., 68-69.
Brebbia, C.A., Telles, J.C.F. & Wrobel, L.C. (1984). Boundary element techniques, theory and applications in engineering. New York: Springer-Verlag.
Mindlin, R.D. (1953). Force at a point in the interior of a sami – infinite solid. Physics. Colombia.
Ніколаєвський, В. Н. (1979). Дилатансія та закони незворотнього деформування ґрун-тів. Основи, фундаменти та механіка ґру-нтів. Збірник наукових праць, 5,. 29-31.
Бойко, І. П. (1985). Теоретичні основи про-ектування пальових фундаментів на пру-жньо-пластичні основі. Основи та фунда-менти: Науково-технічний збірник, 18,. 11–18.
Моргун, А.С. (2016). Нелінійні проблеми механіки ґрунтів. Монографія. Вінниця: ВНТУ.
Hill, R. (1950). Mathematical Theory of plasticity. Clarendon press. Oxford.
Drucker, D. C., Gibson, R. E. & Henkel, D. S. (1957). Soil mechanic and work – horolening theories of plasticity. New York: ASCE.
Benerji, P., & Butterfield, R. (1984). Boundary element methods in applied sciences.
McGraw-Hill Book Company.
Malyshev, O.V. (2011). Statychni vyprobovuvannia tavrovykh pal v polovykh umovakh [Static tests of tieback piles in the field]. Tezy dopovidei NTK molodykh vchenykh, aspirantiv i studentiv ch.1., 68-69 (in Ukrainian).
Brebbia, C.A., Telles, J.C.F. & Wrobel, L.C. (1984). Boundary element techniques, theory and applications in engineering. New York: Springer-Verlag (in English).
Mindlin, R.D. (1953). Force at a point in the interior of a sami – infinite solid. Physics. Colombia (in English).
Nikolaievskyi, V. N. (1979). Dylatansiia ta zakony nezvorotnoho deformuvannia grun-tiv [Dilatancy and the laws of irreversible soil deformation]. Osnovy, fundamenty ta mekhanika gruntiv. Zbirnyk naukovykh prats, 5,. 29-31 (in Ukrainian).
Boiko, I. P. (1985). Teoretychni osnovy proektuvannia palovykh fundamentiv na pruzhno-plastychni osnovi [Theoretical ba-ses of designing pile foundations on elastic-plastic bases]. Osnovy ta fundamenty: Nau-kovo-tekhnichnyi zbirnyk, 18,. 11–18 (in Ukrainian).
Morhun, A.S. (2016). Neliniini problemy mekhaniky gruntiv. Monohrafiia [Nonlinear problems of soil mechanics. Monography]. Vinnytsia: VNTU (in Ukrainian).
Hill, R. (1950). Mathematical Theory of plas-ticity. Clarendon press. Oxford (in English).
Drucker, D. C., Gibson, R. E. & Henkel, D. S. (1957). Soil mechanic and work – horolening theories of plasticity. New York: ASCE (in English).
Benerji, P., & Butterfield, R. (1984). Bounda-ry element methods in applied sciences.
McGraw-Hill Book Company (in English).