A Prediction Method Based on Monte Carlo Simulations for Finite Element Analysis of Soil Medium considering Spatial Variability in Soil Parameters
With the Stochastic Finite Element Method (SFEM), the spatial variability of soil properties can be incorporated into the analysis of geotechnical structures. Although this method is significantly superior in principle to the homogeneous analysis of soil parameters, generalizing the method in engine...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Advances in Materials Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2020/7064640 |
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| author | Kedong Tang Jialiang Wang Lielie Li |
| author_facet | Kedong Tang Jialiang Wang Lielie Li |
| author_sort | Kedong Tang |
| collection | DOAJ |
| description | With the Stochastic Finite Element Method (SFEM), the spatial variability of soil properties can be incorporated into the analysis of geotechnical structures. Although this method is significantly superior in principle to the homogeneous analysis of soil parameters, generalizing the method in engineering practice is difficult due to its computational inefficiency. In this paper, we propose a new method for the fast calculation of convergence results. The proposed method introduces a distance space to the Monte Carlo Method (MCM) random field instances and, considering the importance of a safety margin in structures, uses selected spatial interpolation to predict the MCM instances to be solved. Two case study simulations are presented. The results show that compared to the full Monte Carlo Simulation, the fast calculation method proposed in this paper can achieve very accurate convergence results while substantially reducing the computational cost, and the simulation errors for the structure are on the safer side. |
| format | Article |
| id | doaj-art-e82a605e24bf4003b92621ccfe45bc6d |
| institution | Kabale University |
| issn | 1687-8434 1687-8442 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Materials Science and Engineering |
| spelling | doaj-art-e82a605e24bf4003b92621ccfe45bc6d2025-02-03T01:24:57ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422020-01-01202010.1155/2020/70646407064640A Prediction Method Based on Monte Carlo Simulations for Finite Element Analysis of Soil Medium considering Spatial Variability in Soil ParametersKedong Tang0Jialiang Wang1Lielie Li2School of Civil Engineering and Communication, North China University of Water Resources and Electric Power, Zhengzhou, Henan, ChinaSchool of Civil Engineering and Communication, North China University of Water Resources and Electric Power, Zhengzhou, Henan, ChinaSchool of Civil Engineering and Communication, North China University of Water Resources and Electric Power, Zhengzhou, Henan, ChinaWith the Stochastic Finite Element Method (SFEM), the spatial variability of soil properties can be incorporated into the analysis of geotechnical structures. Although this method is significantly superior in principle to the homogeneous analysis of soil parameters, generalizing the method in engineering practice is difficult due to its computational inefficiency. In this paper, we propose a new method for the fast calculation of convergence results. The proposed method introduces a distance space to the Monte Carlo Method (MCM) random field instances and, considering the importance of a safety margin in structures, uses selected spatial interpolation to predict the MCM instances to be solved. Two case study simulations are presented. The results show that compared to the full Monte Carlo Simulation, the fast calculation method proposed in this paper can achieve very accurate convergence results while substantially reducing the computational cost, and the simulation errors for the structure are on the safer side.http://dx.doi.org/10.1155/2020/7064640 |
| spellingShingle | Kedong Tang Jialiang Wang Lielie Li A Prediction Method Based on Monte Carlo Simulations for Finite Element Analysis of Soil Medium considering Spatial Variability in Soil Parameters Advances in Materials Science and Engineering |
| title | A Prediction Method Based on Monte Carlo Simulations for Finite Element Analysis of Soil Medium considering Spatial Variability in Soil Parameters |
| title_full | A Prediction Method Based on Monte Carlo Simulations for Finite Element Analysis of Soil Medium considering Spatial Variability in Soil Parameters |
| title_fullStr | A Prediction Method Based on Monte Carlo Simulations for Finite Element Analysis of Soil Medium considering Spatial Variability in Soil Parameters |
| title_full_unstemmed | A Prediction Method Based on Monte Carlo Simulations for Finite Element Analysis of Soil Medium considering Spatial Variability in Soil Parameters |
| title_short | A Prediction Method Based on Monte Carlo Simulations for Finite Element Analysis of Soil Medium considering Spatial Variability in Soil Parameters |
| title_sort | prediction method based on monte carlo simulations for finite element analysis of soil medium considering spatial variability in soil parameters |
| url | http://dx.doi.org/10.1155/2020/7064640 |
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