Interval-based parameters for stress diffusion in granular medium

Djamalddine Boumezerane

doi:10.1201/9781351174664

Interval-based parameters for stress diffusion in granular medium

Djamalddine Boumezerane

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Abstract

According to Bourdeau (1986), diffusion of stresses in a granular medium can be described using a probabilistic approach. A point load applied on the surface of a granular media will follow an erratic path, depending on the probability of transition between the grains. The diffusion of the expected vertical stress in the granular medium can be described by a Fokker-Planck type equation. In terms of expected vertical stresses, an equation of diffusion is obtained and the parameter of diffusion is shown to approximate the coefficient of lateral pressure of the material at a given depth z. The coefficient of lateral pressure of the material can be expressed in terms of intervals with upper and lower values to account for uncertainty. In the present approach, we propose to solve the diffusion equation using interval-based parameters to account for uncertainty. Uncertain parameters are considered as discretized fuzzy numbers; they are combined with finite difference method to solve the diffusion equation. Comparisons are made with experimental and available data.

Original language	English
Title of host publication	Safety and Reliability – Safe Societies in a Changing World
Subtitle of host publication	Proceedings of ESREL 2018, June 17-21, 2018, Trondheim, Norway
Editors	Stein Haugen, Anne Barros, Coen van Gulijk, Trond Kongsvik, Jan Erik Vinnem
Place of Publication	London
Publisher	Taylor & Francis
Chapter	329
Pages	2621-2626
Number of pages	6
ISBN (Electronic)	9781351174664
DOIs	https://doi.org/10.1201/9781351174664
Publication status	Published - 15 Jun 2018
Event	European Safety and Reliability Conference 2018 - Norwegian University of Science and Technology, Trondheim, Norway Duration: 17 Jun 2018 → 21 Jun 2018 https://www.ntnu.edu/esrel2018

Conference

Conference	European Safety and Reliability Conference 2018
Abbreviated title	ESREL 2018
Country/Territory	Norway
City	Trondheim
Period	17/06/18 → 21/06/18
Internet address	https://www.ntnu.edu/esrel2018

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2018 02 02 Boumezerane Interval-based FinalFinal published version, 2.03 MBLicence: CC BY-NC-ND

Djamalddine Boumezerane
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@inproceedings{b71b5a4eda9c4cf689ff448c4e4286f7,

title = "Interval-based parameters for stress diffusion in granular medium",

abstract = "According to Bourdeau (1986), diffusion of stresses in a granular medium can be described using a probabilistic approach. A point load applied on the surface of a granular media will follow an erratic path, depending on the probability of transition between the grains. The diffusion of the expected vertical stress in the granular medium can be described by a Fokker-Planck type equation. In terms of expected vertical stresses, an equation of diffusion is obtained and the parameter of diffusion is shown to approximate the coefficient of lateral pressure of the material at a given depth z. The coefficient of lateral pressure of the material can be expressed in terms of intervals with upper and lower values to account for uncertainty. In the present approach, we propose to solve the diffusion equation using interval-based parameters to account for uncertainty. Uncertain parameters are considered as discretized fuzzy numbers; they are combined with finite difference method to solve the diffusion equation. Comparisons are made with experimental and available data.",

author = "Djamalddine Boumezerane",

year = "2018",

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doi = "10.1201/9781351174664",

language = "English",

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editor = "Stein Haugen and Anne Barros and {van Gulijk}, Coen and Trond Kongsvik and Vinnem, {Jan Erik}",

booktitle = "Safety and Reliability – Safe Societies in a Changing World",

publisher = "Taylor & Francis",

note = "European Safety and Reliability Conference 2018, ESREL 2018 ; Conference date: 17-06-2018 Through 21-06-2018",

url = "https://www.ntnu.edu/esrel2018",

}

Boumezerane, D 2018, Interval-based parameters for stress diffusion in granular medium. in S Haugen, A Barros, C van Gulijk, T Kongsvik & JE Vinnem (eds), Safety and Reliability – Safe Societies in a Changing World: Proceedings of ESREL 2018, June 17-21, 2018, Trondheim, Norway. Taylor & Francis, London, pp. 2621-2626, European Safety and Reliability Conference 2018, Trondheim, Norway, 17/06/18. https://doi.org/10.1201/9781351174664

Interval-based parameters for stress diffusion in granular medium. / Boumezerane, Djamalddine.
Safety and Reliability – Safe Societies in a Changing World: Proceedings of ESREL 2018, June 17-21, 2018, Trondheim, Norway. ed. / Stein Haugen; Anne Barros; Coen van Gulijk; Trond Kongsvik; Jan Erik Vinnem. London: Taylor & Francis, 2018. p. 2621-2626.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Interval-based parameters for stress diffusion in granular medium

AU - Boumezerane, Djamalddine

PY - 2018/6/15

Y1 - 2018/6/15

N2 - According to Bourdeau (1986), diffusion of stresses in a granular medium can be described using a probabilistic approach. A point load applied on the surface of a granular media will follow an erratic path, depending on the probability of transition between the grains. The diffusion of the expected vertical stress in the granular medium can be described by a Fokker-Planck type equation. In terms of expected vertical stresses, an equation of diffusion is obtained and the parameter of diffusion is shown to approximate the coefficient of lateral pressure of the material at a given depth z. The coefficient of lateral pressure of the material can be expressed in terms of intervals with upper and lower values to account for uncertainty. In the present approach, we propose to solve the diffusion equation using interval-based parameters to account for uncertainty. Uncertain parameters are considered as discretized fuzzy numbers; they are combined with finite difference method to solve the diffusion equation. Comparisons are made with experimental and available data.

AB - According to Bourdeau (1986), diffusion of stresses in a granular medium can be described using a probabilistic approach. A point load applied on the surface of a granular media will follow an erratic path, depending on the probability of transition between the grains. The diffusion of the expected vertical stress in the granular medium can be described by a Fokker-Planck type equation. In terms of expected vertical stresses, an equation of diffusion is obtained and the parameter of diffusion is shown to approximate the coefficient of lateral pressure of the material at a given depth z. The coefficient of lateral pressure of the material can be expressed in terms of intervals with upper and lower values to account for uncertainty. In the present approach, we propose to solve the diffusion equation using interval-based parameters to account for uncertainty. Uncertain parameters are considered as discretized fuzzy numbers; they are combined with finite difference method to solve the diffusion equation. Comparisons are made with experimental and available data.

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BT - Safety and Reliability – Safe Societies in a Changing World

A2 - Haugen, Stein

A2 - Barros, Anne

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PB - Taylor & Francis

CY - London

T2 - European Safety and Reliability Conference 2018

Y2 - 17 June 2018 through 21 June 2018

ER -

Interval-based parameters for stress diffusion in granular medium

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Djamalddine Boumezerane

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