The poroelastic layer with an axisymmetric cylindrical hole under different types of loading

Natalya Vaysfeld; Zinaida Zhuravlova

doi:10.12697/ACUTM.2024.28.09

The poroelastic layer with an axisymmetric cylindrical hole under different types of loading

Natalya Vaysfeld
, Zinaida Zhuravlova

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

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The exact solution of the poroelastic axisymmetric problem for a layer with a cylinderical hole is constructed under assumptions of Biot's model. The calculations provided by derived explicit formulas for full stress and pore pressure allow to state some important dependencies between the poroelastic stress state of the layer and type of poroelastic materials, loading types and height of the layer.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	131-140
Nifer y tudalennau	10
Cyfnodolyn	Acta et Commentationes Universitatis Tartuensis de Mathematica
Cyfrol	28
Rhif cyhoeddi	1
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.12697/ACUTM.2024.28.09
Statws	Cyhoeddwyd - 03 Meh 2024
Cyhoeddwyd yn allanol	Ie

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10.12697/ACUTM.2024.28.09Trwydded: CC BY-NC-ND

ArticleFersiwn derfynol wedi’i chyhoeddi, 354 KBTrwydded: CC BY-NC-ND

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EffectFact: Effective Factorisation techniques for matrix-functions: Developing theory, numerical methods and impactful applications
Mishuris, G. (Prif Ymchwilydd)
Horizon Discovery (United Kingdom)
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title = "The poroelastic layer with an axisymmetric cylindrical hole under different types of loading",

abstract = "The exact solution of the poroelastic axisymmetric problem for a layer with a cylinderical hole is constructed under assumptions of Biot's model. The calculations provided by derived explicit formulas for full stress and pore pressure allow to state some important dependencies between the poroelastic stress state of the layer and type of poroelastic materials, loading types and height of the layer.",

keywords = "poroelastic layer, cylindrical hole, integral transform, matrix differential calculation",

author = "Natalya Vaysfeld and Zinaida Zhuravlova",

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AB - The exact solution of the poroelastic axisymmetric problem for a layer with a cylinderical hole is constructed under assumptions of Biot's model. The calculations provided by derived explicit formulas for full stress and pore pressure allow to state some important dependencies between the poroelastic stress state of the layer and type of poroelastic materials, loading types and height of the layer.

KW - poroelastic layer

KW - cylindrical hole

KW - integral transform

KW - matrix differential calculation

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The poroelastic layer with an axisymmetric cylindrical hole under different types of loading

Crynodeb

Mynediad at Ddogfen

Cysylltiad parhaol

Ôl bys

Prosiectau

EffectFact: Effective Factorisation techniques for matrix-functions: Developing theory, numerical methods and impactful applications

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