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SOIL AND ROCK MECHANICS

Description and parameters of A.I. Botkin and Yu.K. Zaretsky models

Авторы
Мирный Анатолий ЮрьевичДоцент Геологического факультета МГУ им. М.В. Ломоносова, к.т.н., генеральный директор ООО «Независимая геотехника»
Мосина Анна СергеевнаНаучный сотрудник Лаборатории Изучения состава и свойств грунтов ИГЭ РАН, заместитель генерального директора ООО «Независимая геотехника», к. г.-м. н.

Abstract: The publishing house of the “Geoinfo” journal has prepared for printing the book “Mathematical models of grounds for engineers” (by A.Yu. Mirnyy and A.S. Mosina) with a volume of more than 400 pages and handed it over to a printing house. This monograph,(which was conceived primarily as a practical reference book) contains the necessary theoretical information on the theory of elasticity, plasticity and creep, as well as the information about more than 30 models implemented in the most popular geotechnical computational softwares, about their fields of application and methods for determining parameters. This book received positive reviews from professors G.G. Boldyrev and A.G. Shashkin. You will be able to purchase the book in October 2024 by sending an application to the next email address: sale@indep-geo.ru. The current contents of this monograph can be found at the next web link: https://disk.yandex.ru/d/X-IHTOKrwOC2-A. To provide insight into the style of presentation and the content of the book for the readers, we decided to publish some fragments from it (with the consent of the authors) in a series of articles. This article describes the model based on analytical solutions by A.I. Botkin and the model proposed by Yu.K. Zaretskiy.

 

Keywords: mathematical model; A.I. Botkin model; Yu.K. Zaretskiy model; Hooke model; strength certificate; hyperbolic law of deformation; shear strain; plastic strain; stress; strength surface; yield surface; Mises-Schleicher-Botkin strength condition.

DOI: 10.58339/2949-0677-2024-6-9-26-30

UDC: No information

 

For citation: Mirnyy A.Yu., Mosina A.S. Opisaniye i parametry modeley A.I. Botkina i Yu.K. Zaretskogo [Description and parameters of A.I. Botkin and Yu.K. Zaretskiy models] // Geoinfo. 2024. Vol. 6. № 9. S. 26–30. DOI:10.58339/2949- 0677-2024-6-9-26-30 (in Rus.).

 

Funding: No information

 

References:

  1. Botkin A.I. Issledovaniye napryazhennogo sostoyaniya v sypuchikh i svyaznykh gruntakh [Investigation of the stress state in granular and cohesive soils] // Izvestiya VNIIG. 1939. № 24. S. 153–171.
  2. Botkin A.I. O prochnosti sypuchikh i khrupkikh materialov [On the strength of granular and brittle materials] // Izvestiya VNIIG. 1940. T. 26. S. 205–235.
  3. Kondner R.L. Hyperbolic stress-strain response: cohesive soils // Journal of the Soil Mechanics and Foundations Division. ASCE, 1963. Vol. 89. № 1. P. 115–143.
  4. Kondner R.L., Zelasko J.S. A hyperbolic stress strain formulation for sands // Proceedings of the 2nd Pan American Conference on soil mechanics and foundation engineering, Brazil, San Paulo, 1963. Vol. 1. P. 289–324.
  5. Alekhin A.N., Alekhin A.A. Effektivnyy metod opredeleniya parametrov nelineynoy modeli grunta iz polevykh ispytaniy [An effective method for determining the parameters of a nonlinear soil model from field tests] // Vestnik PNIPU. Stroitel'stvo i arkhitektura. 2017. T. 8. № 4. S. 54–63.
  6. Janbu N. Soil compressibility as determined by oedometer and triaxial tests // Proceedings of European Conference on Soil Mechanics and Foundation Engineering, Wiesbaden, 1963. Vol. 1. P. 19–25.
  7. Zaretskiy Yu.K. Lektsii po sovremennoy mekhanike gruntov [Lectures on modern soil mechanics]. Rostov-na-Donu: Izdatel'stvo Rostovskogo universiteta, 1989. 608 s.
  8. Orekhov V.V. Metodika raschetov mnogofaznykh, nelineyno deformiruemykh gruntovykh osnovaniy pri staticheskikh i seysmicheskikh vozdeystviyakh [Methodology for calculating multiphase, nonlinearly deformable soil foundations under static and seismic impacts]. Moskva: MGSU, 2010. 80 s.

 

Article in RSCI: https://www.elibrary.ru/item.asp?id=75997314