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: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Geofluids |
| Online Access: | http://dx.doi.org/10.1155/2021/9181415 |
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| _version_ | 1850215069862854656 |
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| author | Xiaowei Shen Haowen Hu Zhongwang Wang Xiuyun Chen Chengbin Du |
| author_facet | Xiaowei Shen Haowen Hu Zhongwang Wang Xiuyun Chen Chengbin Du |
| author_sort | Xiaowei Shen |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-7e39e1b873de42499c785eebe59c32d7 |
| institution | OA Journals |
| issn | 1468-8115 1468-8123 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Geofluids |
| spelling | doaj-art-7e39e1b873de42499c785eebe59c32d72025-08-20T02:08:43ZengWileyGeofluids1468-81151468-81232021-01-01202110.1155/2021/91814159181415Stochastic Fracture Analysis Using Scaled Boundary Finite Element Methods Accelerated by Proper Orthogonal Decomposition and Radial Basis FunctionsXiaowei Shen0Haowen Hu1Zhongwang Wang2Xiuyun Chen3Chengbin Du4Department of Engineering Mechanics, Hohai University, Nanjing 211100, ChinaCollege of Architecture and Civil Engineering, Xinyang Normal University, Xinyang 464000, ChinaCollege of Architecture and Civil Engineering, Xinyang Normal University, Xinyang 464000, ChinaSchool of Architectural and Civil Engineering, Huanghuai University, Zhumadian 463000, ChinaDepartment of Engineering Mechanics, Hohai University, Nanjing 211100, ChinaThis 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2021/9181415 |
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