Stochastic Finite Element Analysis for Transport Phenomena in Geomechanics using Polynomial Chaos

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S. Drakos
S. Drakos
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G. N. Pande
G. N. Pande
α International Center for Computational Engineering, Rhodes, Greece.

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Stochastic Finite Element Analysis for Transport Phenomena in Geomechanics using Polynomial Chaos

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Abstract

Transport Phenomena in Geomechanics occur under uncertain conditions and their parameters dominated by spatial randomness. The prediction of the progress of these phenomena is a stochastic problem rather than a deterministic. To solve the problem a procedure of conducting Stochastic Finite Element Analysis using Polynomial Chaos is presented. It eliminates the need for a large number of Monte Carlo simulations thus reducing computational time and making stochastic analysis of practical problems feasible. This is achieved by polynomial chaos expansion of the concentration. An example of a pollution development in a soil is presented and the results are compared to those obtained from Random Finite Element Analysis. A close matching of the two is observed.

References

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

S. Drakos. 2015. \u201cStochastic Finite Element Analysis for Transport Phenomena in Geomechanics using Polynomial Chaos\u201d. Global Journal of Research in Engineering - E: Civil & Structural GJRE-E Volume 15 (GJRE Volume 15 Issue E2): .

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Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

Keywords
Classification
GJRE-E Classification: FOR Code: 290704
Version of record

v1.2

Issue date

May 28, 2015

Language
en
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Transport Phenomena in Geomechanics occur under uncertain conditions and their parameters dominated by spatial randomness. The prediction of the progress of these phenomena is a stochastic problem rather than a deterministic. To solve the problem a procedure of conducting Stochastic Finite Element Analysis using Polynomial Chaos is presented. It eliminates the need for a large number of Monte Carlo simulations thus reducing computational time and making stochastic analysis of practical problems feasible. This is achieved by polynomial chaos expansion of the concentration. An example of a pollution development in a soil is presented and the results are compared to those obtained from Random Finite Element Analysis. A close matching of the two is observed.

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Stochastic Finite Element Analysis for Transport Phenomena in Geomechanics using Polynomial Chaos

S. Drakos
S. Drakos International Center for Computational Engineering, Rhodes, Greece.
G. N. Pande
G. N. Pande

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