Sensitivity analysis of flexoelectric materials surrogate model based on the isogeometric finite element method
In this paper proposes a sensitivity analysis method based on a Polynomial Chaos Expansion (PCE) surrogate model for flexoelectric materials. The non-uniform rational B-splines (NURBS) basis functions to discretize the fourth-order partial differential equation for flexoelectricity and obtains a det...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2022-12-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2022.1111159/full |
| _version_ | 1797979313998397440 |
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| author | Haozhi Li Haozhi Li Haozhi Li Juan Zhao Juan Zhao Juan Zhao Xiaokun Guo Xiaokun Guo Xiaokun Guo Yu Cheng Yu Cheng Yu Cheng Yanmin Xu Yanmin Xu Xiaohui Yuan Xiaohui Yuan Xiaohui Yuan |
| author_facet | Haozhi Li Haozhi Li Haozhi Li Juan Zhao Juan Zhao Juan Zhao Xiaokun Guo Xiaokun Guo Xiaokun Guo Yu Cheng Yu Cheng Yu Cheng Yanmin Xu Yanmin Xu Xiaohui Yuan Xiaohui Yuan Xiaohui Yuan |
| author_sort | Haozhi Li |
| collection | DOAJ |
| description | In this paper proposes a sensitivity analysis method based on a Polynomial Chaos Expansion (PCE) surrogate model for flexoelectric materials. The non-uniform rational B-splines (NURBS) basis functions to discretize the fourth-order partial differential equation for flexoelectricity and obtains a deterministic solution (electric potential). The mathematical expressions of surrogate model for the flexoelectric materials are established by considering uncertain parameters such as independent Young’s modulus, concentrated load and flexoelectric constants. The sensitivity expression is found by derivation the mathematical expression for the surrogate model. Moreover the finite difference method (FDM) are conducted in numerical examples to demonstrate the validity and correctness of the proposed algorithm. |
| first_indexed | 2024-04-11T05:37:03Z |
| format | Article |
| id | doaj.art-86c55b7521ba444db5374dab51f1d13f |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-04-11T05:37:03Z |
| publishDate | 2022-12-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-86c55b7521ba444db5374dab51f1d13f2022-12-22T10:43:53ZengFrontiers Media S.A.Frontiers in Physics2296-424X2022-12-011010.3389/fphy.2022.11111591111159Sensitivity analysis of flexoelectric materials surrogate model based on the isogeometric finite element methodHaozhi Li0Haozhi Li1Haozhi Li2Juan Zhao3Juan Zhao4Juan Zhao5Xiaokun Guo6Xiaokun Guo7Xiaokun Guo8Yu Cheng9Yu Cheng10Yu Cheng11Yanmin Xu12Yanmin Xu13Xiaohui Yuan14Xiaohui Yuan15Xiaohui Yuan16College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, ChinaHenan Unsaturated Soil and Special Soil Engineering Technology Research Center, Xinyang Normal University, Xinyang, ChinaHenan International Joint Laboratory of Structural Mechanics and Computational Simulation, Huanghuai University, Zhumadian, ChinaCollege of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, ChinaHenan Unsaturated Soil and Special Soil Engineering Technology Research Center, Xinyang Normal University, Xinyang, ChinaHenan International Joint Laboratory of Structural Mechanics and Computational Simulation, Huanghuai University, Zhumadian, ChinaCollege of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, ChinaHenan Unsaturated Soil and Special Soil Engineering Technology Research Center, Xinyang Normal University, Xinyang, ChinaHenan International Joint Laboratory of Structural Mechanics and Computational Simulation, Huanghuai University, Zhumadian, ChinaCollege of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, ChinaHenan Unsaturated Soil and Special Soil Engineering Technology Research Center, Xinyang Normal University, Xinyang, ChinaHenan International Joint Laboratory of Structural Mechanics and Computational Simulation, Huanghuai University, Zhumadian, ChinaHenan International Joint Laboratory of Structural Mechanics and Computational Simulation, Huanghuai University, Zhumadian, ChinaSchool of Architecture and Civil Engineering, Huanghuai University, Zhumadian, ChinaCollege of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, ChinaHenan Unsaturated Soil and Special Soil Engineering Technology Research Center, Xinyang Normal University, Xinyang, ChinaHenan International Joint Laboratory of Structural Mechanics and Computational Simulation, Huanghuai University, Zhumadian, ChinaIn this paper proposes a sensitivity analysis method based on a Polynomial Chaos Expansion (PCE) surrogate model for flexoelectric materials. The non-uniform rational B-splines (NURBS) basis functions to discretize the fourth-order partial differential equation for flexoelectricity and obtains a deterministic solution (electric potential). The mathematical expressions of surrogate model for the flexoelectric materials are established by considering uncertain parameters such as independent Young’s modulus, concentrated load and flexoelectric constants. The sensitivity expression is found by derivation the mathematical expression for the surrogate model. Moreover the finite difference method (FDM) are conducted in numerical examples to demonstrate the validity and correctness of the proposed algorithm.https://www.frontiersin.org/articles/10.3389/fphy.2022.1111159/fullisogeometric analysispolynomial chaos expansionsurrogate modeluncertainty quantificationsensitivity analysis |
| spellingShingle | Haozhi Li Haozhi Li Haozhi Li Juan Zhao Juan Zhao Juan Zhao Xiaokun Guo Xiaokun Guo Xiaokun Guo Yu Cheng Yu Cheng Yu Cheng Yanmin Xu Yanmin Xu Xiaohui Yuan Xiaohui Yuan Xiaohui Yuan Sensitivity analysis of flexoelectric materials surrogate model based on the isogeometric finite element method Frontiers in Physics isogeometric analysis polynomial chaos expansion surrogate model uncertainty quantification sensitivity analysis |
| title | Sensitivity analysis of flexoelectric materials surrogate model based on the isogeometric finite element method |
| title_full | Sensitivity analysis of flexoelectric materials surrogate model based on the isogeometric finite element method |
| title_fullStr | Sensitivity analysis of flexoelectric materials surrogate model based on the isogeometric finite element method |
| title_full_unstemmed | Sensitivity analysis of flexoelectric materials surrogate model based on the isogeometric finite element method |
| title_short | Sensitivity analysis of flexoelectric materials surrogate model based on the isogeometric finite element method |
| title_sort | sensitivity analysis of flexoelectric materials surrogate model based on the isogeometric finite element method |
| topic | isogeometric analysis polynomial chaos expansion surrogate model uncertainty quantification sensitivity analysis |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2022.1111159/full |
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