KFU. Card publication. Seepage consolidation under elastic body's deformation under normal load

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SEEPAGE CONSOLIDATION UNDER ELASTIC BODY'S DEFORMATION UNDER NORMAL LOAD

Form of presentation

Articles in international journals and collections

Year of publication

2019

Язык

английский

Authors, employees of KFU

Kosterin Aleksandr Vasilevich, author

Bibliographic description in the original language

Kadyrov F.M, Kosterin A.V, Skvortsov E.V., Seepage consolidation under elastic body's deformation under normal load//Journal of Physics: Conference Series. - 2019. - Vol.1158, Is.3. - Art. № 032002.

Annotation

he process of seepage consolidation of an elastic saturated body under the action of a normal load that is instantly applied to its surface is considered. The fluid and the skeleton grains are assumed to be incompressible and the volume skeleton strains are related to grain repacking. To the well-known spatial consolidation scheme is added the equality obtained using the conditions of compatibility of deformations. It is shown that the sum of effective normal stresses satisfies the heat equation and with a known boundary condition can be found as a solution to the corresponding boundary value problem. On the surface of the body for pressure is adopted the condition high-permeability piston. A pressure-related auxiliary function that satisfies the Laplace equation is introduced. The boundary condition for it is determined by the boundary condition for the above sum. The proposed scheme for studying the consolidation of an elastic body is illustrated by the example of uniform normal loading of the surface of an elastic porous sphere. The formulations of the corresponding boundary value problems are given. In the analytical form the pressure of the fluid, the total and effective normal stresses of the skeleton, the displacement of points of the sphere and its surface in the process of consolidation were found. It is shown that the pressure of the fluid at each fixed point inside the sphere decreases with increasing time.

Keywords

seepage consolidation, elastic saturated body, analytical solution

The name of the journal

Journal of Physics: Conference Series

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85063778078&doi=10.1088%2f1742-6596%2f1158%2f3%2f032002&partnerID=40&md5=a21478189c2970ea30dafcd2ed5ad70c

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=216973&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Kosterin Aleksandr Vasilevich	ru_RU
dc.date.accessioned	2019-01-01T00:00:00Z	ru_RU
dc.date.available	2019-01-01T00:00:00Z	ru_RU
dc.date.issued	2019	ru_RU
dc.identifier.citation	Kadyrov F.M, Kosterin A.V, Skvortsov E.V., Seepage consolidation under elastic body's deformation under normal load//Journal of Physics: Conference Series. - 2019. - Vol.1158, Is.3. - Art. № 032002.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=216973&p_lang=2	ru_RU
dc.description.abstract	Journal of Physics: Conference Series	ru_RU
dc.description.abstract	he process of seepage consolidation of an elastic saturated body under the action of a normal load that is instantly applied to its surface is considered. The fluid and the skeleton grains are assumed to be incompressible and the volume skeleton strains are related to grain repacking. To the well-known spatial consolidation scheme is added the equality obtained using the conditions of compatibility of deformations. It is shown that the sum of effective normal stresses satisfies the heat equation and with a known boundary condition can be found as a solution to the corresponding boundary value problem. On the surface of the body for pressure is adopted the condition high-permeability piston. A pressure-related auxiliary function that satisfies the Laplace equation is introduced. The boundary condition for it is determined by the boundary condition for the above sum. The proposed scheme for studying the consolidation of an elastic body is illustrated by the example of uniform normal loading of the surface of an elastic porous sphere. The formulations of the corresponding boundary value problems are given. In the analytical form the pressure of the fluid, the total and effective normal stresses of the skeleton, the displacement of points of the sphere and its surface in the process of consolidation were found. It is shown that the pressure of the fluid at each fixed point inside the sphere decreases with increasing time.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	seepage consolidation	ru_RU
dc.subject	elastic saturated body	ru_RU
dc.subject	analytical solution	ru_RU
dc.title	Seepage consolidation under elastic body's deformation under normal load	ru_RU
dc.type	Articles in international journals and collections	ru_RU