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GEOTECHNICS

Analytical method for settlement calculation taking into account nonlinear deformation

Авторы
Мирный Анатолий Юрьевичдоцент Геологического факультета МГУ им. М.В. Ломоносова, к.т.н., генеральный директор ООО «Независимая геотехника»
Калугина Юлия Александровнаглавный специалист ООО «Независимая Геотехника», г. Москва, Россия

Abstract: The paper considers the development of the layer-by-layer summation method, which makes it possible to calculate settlements taking into account nonlinear deformation without using numerical methods. This method is based on the proposal of Z.G. Ter-Martirosyan on taking into account the shear and volumetric components of deformation using, respectively, the shear modulus and the volumetric compression modulus for the calculation by the layer-by-layer summation method.

The volumetric and shear components of settlements for loaded areas of various configurations were calculated on the basis of an analytical solution of the problem of stress components distribution in a soil mass. The obtained solution was compared with previously known analytical solutions with the use of various deformation models.

Сomparing the results of using the proposed calculation method and the analytical solution was shown that the proposed method brings the obtained solution closer to the exact Shleikher-Pol'shin solution. The comparison with the solution obtained using the finite element method (FEM) on the basis of various elastoplastic models showed that the consideration of shear deformation brings the solution by the layer-by-layer summation method closer to the numerical solution without introducing additional correlation coefficients.

The use of the proposed nonlinear solution makes it possible to obtain results that are comparable to the results of numerical modeling when calculating the simplest problems of foundation engineering using fewer assumptions. Further development of the method can make more precise the linear solutions that are currently prescribed by regulatory documents.

Key words: settlement calculation; layer-by-layer summation method; Love's problem; stiffness; mean stress; nonlinear soil stiffness

DOI: https://doi.org/10.58339/2949-0677-2025-7-1-26-32

UDC: 624.131.7

 

For citation: Mirnyy A.Yu., Kalugina Yu.A. Analiticheskii metod rascheta osadki s uchetom nelineinosti deformirovaniya [Analytical method for settlement calculation taking into account nonlinear deformation] // GeoInfo. 2025. T. 7. № 1. S. 26–32. DOI:10.58339/2949-0677-2025-7-1-26-32 (in Rus.).

 

Funding: No information

 

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Article in RSCI: https://elibrary.ru/item.asp?id=82518756