KFU. Card publication. Seepage Consolidation during Elastic Body Deformation under Normal Load

KAZAN
FEDERAL UNIVERSITY

- RUS
- 中文
- ES

SEEPAGE CONSOLIDATION DURING ELASTIC BODY 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, Seepage Consolidation during Elastic Body Deformation under Normal Load//UCHENYE ZAPISKI KAZANSKOGO UNIVERSITETA-SERIYA FIZIKO-MATEMATICHESKIE NAUKI. - 2019. - Vol.161, Is.1. - P.66-74.

Annotation

The process of seepage consolidation of an elastic saturated body under the normal load that is instantly applied to its surface has been considered. An equality obtained using the conditions of compatibility of deformations has been added to the well-known spatial consolidation scheme. It has been shown that the sum of effective normal stresses satisfies the heat equation and can be found as a solution to the corresponding boundary value problem. A pressure-rela-ted auxiliary function that satisfies the Laplace equation has been 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 has been illustrated by the example of uniform normal loading on the surface of an elastic porous sphere. 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 have been found. It has been demonstrated that the pressure of the fluid at each fixed point inside the sphere decreases with increasing time.

Keywords

seepage consolidation, elastic body deformation, analytical solution

The name of the journal

UCHENYE ZAPISKI KAZANSKOGO UNIVERSITETA-SERIYA FIZIKO-MATEMATICHESKIE NAUKI

URL

https://www.scopus.com/record/display.uri?eid=2-s2.0-85071990309&origin=resultslist&sort=plf-f&src=s&sid=10e5e1e16dfaa6e4e4dfad7f128f4885&sot=autdocs&sdt=autdocs&sl=17&s=AU-ID%287004056854%29&relpos=1&citeCnt=0&searchTerm=

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

https://repository.kpfu.ru/eng/?p_id=216972&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, Seepage Consolidation during Elastic Body Deformation under Normal Load//UCHENYE ZAPISKI KAZANSKOGO UNIVERSITETA-SERIYA FIZIKO-MATEMATICHESKIE NAUKI. - 2019. - Vol.161, Is.1. - P.66-74.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=216972&p_lang=2	ru_RU
dc.description.abstract	UCHENYE ZAPISKI KAZANSKOGO UNIVERSITETA-SERIYA FIZIKO-MATEMATICHESKIE NAUKI	ru_RU
dc.description.abstract	The process of seepage consolidation of an elastic saturated body under the normal load that is instantly applied to its surface has been considered. An equality obtained using the conditions of compatibility of deformations has been added to the well-known spatial consolidation scheme. It has been shown that the sum of effective normal stresses satisfies the heat equation and can be found as a solution to the corresponding boundary value problem. A pressure-rela-ted auxiliary function that satisfies the Laplace equation has been 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 has been illustrated by the example of uniform normal loading on the surface of an elastic porous sphere. 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 have been found. It has been demonstrated 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 body deformation	ru_RU
dc.subject	analytical solution	ru_RU
dc.title	Seepage Consolidation during Elastic Body Deformation under Normal Load	ru_RU
dc.type	Articles in international journals and collections	ru_RU