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Random field simulation over curved surfaces: Applications to computational structural mechanics

Carl Scarth, Sondipon Adhikari, Pedro Higino Cabral, Gustavo H.C. Silva, Alex Pereira do Prado

Computer Methods in Applied Mechanics and Engineering, Volume: 345, Pages: 283 - 301

Swansea University Author: Sondipon Adhikari

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DOI (Published version): 10.1016/j.cma.2018.10.026

Abstract

It is important to account for inherent variability in the material properties in the design and analysis of engineering structures. These properties are typically not homogeneous, but vary across the spatial coordinates within a structure, as well as from specimen to specimen. This form of uncertai...

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Published in: Computer Methods in Applied Mechanics and Engineering
ISSN: 00457825
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa45491
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first_indexed 2018-11-08T14:21:57Z
last_indexed 2019-01-08T19:58:35Z
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spelling 2019-01-08T14:41:56.8130492 v2 45491 2018-11-08 Random field simulation over curved surfaces: Applications to computational structural mechanics 4ea84d67c4e414f5ccbd7593a40f04d3 Sondipon Adhikari Sondipon Adhikari true false 2018-11-08 FGSEN It is important to account for inherent variability in the material properties in the design and analysis of engineering structures. These properties are typically not homogeneous, but vary across the spatial coordinates within a structure, as well as from specimen to specimen. This form of uncertainty is commonly modelled using random fields within the Stochastic Finite Element Method. Simulation within this framework can be complicated by the dependence of a random field’s correlation function upon the geometry of the domain over which it is defined. In this paper, a new method is proposed for simulating random fields over a general two-dimension curved surface, represented as a finite element mesh. The covariance function is parametrised using the geodesic distance, evaluated using the solution to the ‘discrete geodesic problem,’ and a point discretisation approach is subsequently applied in order to sample the random field at the nodes of the model. The major contribution of the present work is the development of a methodology for simulating random fields over curved surfaces of arbitrary geometry, with a focus upon non-intrusive application to industrial finite element models using ‘off the shelf’ commercial software. In order to demonstrate the potential impact of the proposed approach, the algorithm is applied in an uncertainty quantification case study concerning vibration and buckling of an industrial composite aircraft wing model. Journal Article Computer Methods in Applied Mechanics and Engineering 345 283 301 00457825 Stochastic finite element, Random field, Monte Carlo simulation, Uncertainty quantification, Aircraft wing 31 12 2019 2019-12-31 10.1016/j.cma.2018.10.026 COLLEGE NANME Science and Engineering - Faculty COLLEGE CODE FGSEN Swansea University 2019-01-08T14:41:56.8130492 2018-11-08T09:21:44.9964431 Faculty of Science and Engineering School of Engineering and Applied Sciences - Uncategorised Carl Scarth 1 Sondipon Adhikari 2 Pedro Higino Cabral 3 Gustavo H.C. Silva 4 Alex Pereira do Prado 5 0045491-08112018092438.pdf scarth2018.pdf 2018-11-08T09:24:38.8030000 Output 20536765 application/pdf Accepted Manuscript true 2019-11-02T00:00:00.0000000 true eng
title Random field simulation over curved surfaces: Applications to computational structural mechanics
spellingShingle Random field simulation over curved surfaces: Applications to computational structural mechanics
Sondipon Adhikari
title_short Random field simulation over curved surfaces: Applications to computational structural mechanics
title_full Random field simulation over curved surfaces: Applications to computational structural mechanics
title_fullStr Random field simulation over curved surfaces: Applications to computational structural mechanics
title_full_unstemmed Random field simulation over curved surfaces: Applications to computational structural mechanics
title_sort Random field simulation over curved surfaces: Applications to computational structural mechanics
author_id_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3
author_id_fullname_str_mv 4ea84d67c4e414f5ccbd7593a40f04d3_***_Sondipon Adhikari
author Sondipon Adhikari
author2 Carl Scarth
Sondipon Adhikari
Pedro Higino Cabral
Gustavo H.C. Silva
Alex Pereira do Prado
format Journal article
container_title Computer Methods in Applied Mechanics and Engineering
container_volume 345
container_start_page 283
publishDate 2019
institution Swansea University
issn 00457825
doi_str_mv 10.1016/j.cma.2018.10.026
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Uncategorised{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Uncategorised
document_store_str 1
active_str 0
description It is important to account for inherent variability in the material properties in the design and analysis of engineering structures. These properties are typically not homogeneous, but vary across the spatial coordinates within a structure, as well as from specimen to specimen. This form of uncertainty is commonly modelled using random fields within the Stochastic Finite Element Method. Simulation within this framework can be complicated by the dependence of a random field’s correlation function upon the geometry of the domain over which it is defined. In this paper, a new method is proposed for simulating random fields over a general two-dimension curved surface, represented as a finite element mesh. The covariance function is parametrised using the geodesic distance, evaluated using the solution to the ‘discrete geodesic problem,’ and a point discretisation approach is subsequently applied in order to sample the random field at the nodes of the model. The major contribution of the present work is the development of a methodology for simulating random fields over curved surfaces of arbitrary geometry, with a focus upon non-intrusive application to industrial finite element models using ‘off the shelf’ commercial software. In order to demonstrate the potential impact of the proposed approach, the algorithm is applied in an uncertainty quantification case study concerning vibration and buckling of an industrial composite aircraft wing model.
published_date 2019-12-31T03:57:18Z
_version_ 1763752896972718080
score 11.012678

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