Treatment of multiple input uncertainties using the scaled boundary finite element method

被引：7

作者：

Dsouza, Shaima M. ^{[1
]}

Varghese, Tittu M. ^{[1
]}

Ooi, Ean Tat ^{[2
,3
]}

Natarajan, Sundararajan ^{[1
]}

Bordas, Stephane P. A. ^{[3
,4
]}

机构：

[1] Indian Inst Technol Madras, Dept Mech Engn, Chennai 600036, Tamil Nadu, India

[2] Federat Univ Australia, Sch Engn Informat Technol & Phys Sci, Ballarat, Vic 3350, Australia

[3] Univ Luxembourg, Fac Sci Technol & Commun, Inst Computat Engn, Luxembourg, Luxembourg

[4] Cardiff Univ, Sch Engn, Cardiff CF24 3AA, Wales

来源：

APPLIED MATHEMATICAL MODELLING | 2021年 / 99卷

关键词：

Implicitly defined interfaces; Level-set method; Non-intrusive stochastic finite element; method; Scaled boundary finite element method; NUMERICAL-INTEGRATION; CELL METHOD;

D O I：

10.1016/j.apm.2021.06.021

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents a non-intrusive scaled boundary finite element method to consider multiple input uncertainties, viz., material and geometry. The types of geometric uncertainties considered include the shape and size of inclusions. The inclusions are implicitly defined, and a robust framework is presented to treat the interfaces, which does not require explicit generation of a conforming mesh or special enrichment techniques. A polynomial chaos expansion is used to represent the input and the output uncertainties. The efficiency and the accuracy of the proposed framework are elucidated in detail with a few problems by comparing the results with the conventional Monte Carlo method. A sensitivity analysis based on Sobol' indices using the developed framework is presented to identify the critical input parameter that has a higher influence on the output response. (c) 2021 Elsevier Inc. All rights reserved.

引用

页码：538 / 554

页数：17

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