Stochastic Fracture Analysis Using Scaled Boundary Finite Element Methods Accelerated by Proper Orthogonal Decomposition and Radial Basis Functions

Stochastic Fracture Analysis Using Scaled Boundary Finite Element Methods Accelerated by Proper Orthogonal Decomposition and Radial Basis Functions

This paper presents a stochastic analysis method for linear elastic fracture mechanics using the Monte Carlo simulations (MCs) and the scaled boundary finite element method (SBFEM) based on proper orthogonal decomposition (POD) and radial basis functions (RBF). The semianalytical solutions obtained...

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Main Authors: Xiaowei Shen, Haowen Hu, Zhongwang Wang, Xiuyun Chen, Chengbin Du
Format: Article
Language:English
Published: Hindawi-Wiley 2021-01-01
Series:Geofluids
Online Access:http://dx.doi.org/10.1155/2021/9181415
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spelling doaj-7e39e1b873de42499c785eebe59c32d72021-09-20T00:30:12ZengHindawi-WileyGeofluids1468-81232021-01-01202110.1155/2021/9181415Stochastic Fracture Analysis Using Scaled Boundary Finite Element Methods Accelerated by Proper Orthogonal Decomposition and Radial Basis FunctionsXiaowei Shen0Haowen Hu1Zhongwang Wang2Xiuyun Chen3Chengbin Du4Department of Engineering MechanicsCollege of Architecture and Civil EngineeringCollege of Architecture and Civil EngineeringSchool of Architectural and Civil EngineeringDepartment of Engineering MechanicsThis paper presents a stochastic analysis method for linear elastic fracture mechanics using the Monte Carlo simulations (MCs) and the scaled boundary finite element method (SBFEM) based on proper orthogonal decomposition (POD) and radial basis functions (RBF). The semianalytical solutions obtained by the SBFEM enable us to capture the stress intensity factors (SIFs) easily and accurately. The adoption of POD and RBF significantly reduces the model order and increases computation efficiency, while maintaining the versatility and accuracy of MCs. Numerical examples of cracks in homogeneous and bimaterial plates are provided to demonstrate the effectiveness and reliability of the proposed method, where the crack inclination angles are set as uncertain variables. It is also found that the larger the scale of the problem, the more advantageous the proposed method is.http://dx.doi.org/10.1155/2021/9181415
collection DOAJ
language English
format Article
sources DOAJ
author Xiaowei Shen
Haowen Hu
Zhongwang Wang
Xiuyun Chen
Chengbin Du
spellingShingle Xiaowei Shen
Haowen Hu
Zhongwang Wang
Xiuyun Chen
Chengbin Du
Stochastic Fracture Analysis Using Scaled Boundary Finite Element Methods Accelerated by Proper Orthogonal Decomposition and Radial Basis Functions
Geofluids
author_facet Xiaowei Shen
Haowen Hu
Zhongwang Wang
Xiuyun Chen
Chengbin Du
author_sort Xiaowei Shen
title Stochastic Fracture Analysis Using Scaled Boundary Finite Element Methods Accelerated by Proper Orthogonal Decomposition and Radial Basis Functions
title_short Stochastic Fracture Analysis Using Scaled Boundary Finite Element Methods Accelerated by Proper Orthogonal Decomposition and Radial Basis Functions
title_full Stochastic Fracture Analysis Using Scaled Boundary Finite Element Methods Accelerated by Proper Orthogonal Decomposition and Radial Basis Functions
title_fullStr Stochastic Fracture Analysis Using Scaled Boundary Finite Element Methods Accelerated by Proper Orthogonal Decomposition and Radial Basis Functions
title_full_unstemmed Stochastic Fracture Analysis Using Scaled Boundary Finite Element Methods Accelerated by Proper Orthogonal Decomposition and Radial Basis Functions
title_sort stochastic fracture analysis using scaled boundary finite element methods accelerated by proper orthogonal decomposition and radial basis functions
publisher Hindawi-Wiley
series Geofluids
issn 1468-8123
publishDate 2021-01-01
description This paper presents a stochastic analysis method for linear elastic fracture mechanics using the Monte Carlo simulations (MCs) and the scaled boundary finite element method (SBFEM) based on proper orthogonal decomposition (POD) and radial basis functions (RBF). The semianalytical solutions obtained by the SBFEM enable us to capture the stress intensity factors (SIFs) easily and accurately. The adoption of POD and RBF significantly reduces the model order and increases computation efficiency, while maintaining the versatility and accuracy of MCs. Numerical examples of cracks in homogeneous and bimaterial plates are provided to demonstrate the effectiveness and reliability of the proposed method, where the crack inclination angles are set as uncertain variables. It is also found that the larger the scale of the problem, the more advantageous the proposed method is.
url http://dx.doi.org/10.1155/2021/9181415
work_keys_str_mv AT xiaoweishen stochasticfractureanalysisusingscaledboundaryfiniteelementmethodsacceleratedbyproperorthogonaldecompositionandradialbasisfunctions
AT haowenhu stochasticfractureanalysisusingscaledboundaryfiniteelementmethodsacceleratedbyproperorthogonaldecompositionandradialbasisfunctions
AT zhongwangwang stochasticfractureanalysisusingscaledboundaryfiniteelementmethodsacceleratedbyproperorthogonaldecompositionandradialbasisfunctions
AT xiuyunchen stochasticfractureanalysisusingscaledboundaryfiniteelementmethodsacceleratedbyproperorthogonaldecompositionandradialbasisfunctions
AT chengbindu stochasticfractureanalysisusingscaledboundaryfiniteelementmethodsacceleratedbyproperorthogonaldecompositionandradialbasisfunctions
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