Multiscale eigenelement method for periodical composites: A review
Based on the eigenvector expansion idea, the Multiscale Eigenelement Method (MEM) was proposed by the author and co-workers. MEM satisfies two equivalent conditions, one condition is the equivalence of strain energy, and the other is the deformation similarity. These two equivalent conditions charac...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
XING, Yufeng [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019transfer abstract |
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| Schlagwörter: |
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| Umfang: |
10 |
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| Übergeordnetes Werk: |
Enthalten in: Computable convergence bounds of series expansions for infinite dimensional linear-analytic systems and application - Hélie, Thomas ELSEVIER, 2014transfer abstract, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:32 ; year:2019 ; number:1 ; pages:104-113 ; extent:10 |
| Links: |
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| DOI / URN: |
10.1016/j.cja.2018.07.003 |
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| 520 | |a Based on the eigenvector expansion idea, the Multiscale Eigenelement Method (MEM) was proposed by the author and co-workers. MEM satisfies two equivalent conditions, one condition is the equivalence of strain energy, and the other is the deformation similarity. These two equivalent conditions character the structure-preserving property of a multiscale analysis method. The equivalence of strain energy is necessary for achieving accurate macro behaviors such as lower order frequencies, while the deformation similarity is essential for predicting accurate micro behaviors such as stresses. The MEM has become a powerful multiscale method for the analysis of composite structures because of its high accuracy and efficiency. In this paper, the research advances of MEM are reviewed and all types of eigenelement methods are compared, focusing on superiorities and deficiencies from practical viewpoint. It is concluded that the eigenelement methods with smooth shape functions are more suitable for the analysis of macro behaviors such as lower order frequencies, and the eigenelement methods with piecewise shape functions are suitable for the analysis of both macro and micro behaviors. | ||
| 520 | |a Based on the eigenvector expansion idea, the Multiscale Eigenelement Method (MEM) was proposed by the author and co-workers. MEM satisfies two equivalent conditions, one condition is the equivalence of strain energy, and the other is the deformation similarity. These two equivalent conditions character the structure-preserving property of a multiscale analysis method. The equivalence of strain energy is necessary for achieving accurate macro behaviors such as lower order frequencies, while the deformation similarity is essential for predicting accurate micro behaviors such as stresses. The MEM has become a powerful multiscale method for the analysis of composite structures because of its high accuracy and efficiency. In this paper, the research advances of MEM are reviewed and all types of eigenelement methods are compared, focusing on superiorities and deficiencies from practical viewpoint. It is concluded that the eigenelement methods with smooth shape functions are more suitable for the analysis of macro behaviors such as lower order frequencies, and the eigenelement methods with piecewise shape functions are suitable for the analysis of both macro and micro behaviors. | ||
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10.1016/j.cja.2018.07.003 doi GBV00000000000488.pica (DE-627)ELV045446849 (ELSEVIER)S1000-9361(18)30233-4 DE-627 ger DE-627 rakwb eng 000 VZ 620 VZ 610 VZ 44.48 bkl XING, Yufeng verfasserin aut Multiscale eigenelement method for periodical composites: A review 2019transfer abstract 10 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Based on the eigenvector expansion idea, the Multiscale Eigenelement Method (MEM) was proposed by the author and co-workers. MEM satisfies two equivalent conditions, one condition is the equivalence of strain energy, and the other is the deformation similarity. These two equivalent conditions character the structure-preserving property of a multiscale analysis method. The equivalence of strain energy is necessary for achieving accurate macro behaviors such as lower order frequencies, while the deformation similarity is essential for predicting accurate micro behaviors such as stresses. The MEM has become a powerful multiscale method for the analysis of composite structures because of its high accuracy and efficiency. In this paper, the research advances of MEM are reviewed and all types of eigenelement methods are compared, focusing on superiorities and deficiencies from practical viewpoint. It is concluded that the eigenelement methods with smooth shape functions are more suitable for the analysis of macro behaviors such as lower order frequencies, and the eigenelement methods with piecewise shape functions are suitable for the analysis of both macro and micro behaviors. Based on the eigenvector expansion idea, the Multiscale Eigenelement Method (MEM) was proposed by the author and co-workers. MEM satisfies two equivalent conditions, one condition is the equivalence of strain energy, and the other is the deformation similarity. These two equivalent conditions character the structure-preserving property of a multiscale analysis method. The equivalence of strain energy is necessary for achieving accurate macro behaviors such as lower order frequencies, while the deformation similarity is essential for predicting accurate micro behaviors such as stresses. The MEM has become a powerful multiscale method for the analysis of composite structures because of its high accuracy and efficiency. In this paper, the research advances of MEM are reviewed and all types of eigenelement methods are compared, focusing on superiorities and deficiencies from practical viewpoint. It is concluded that the eigenelement methods with smooth shape functions are more suitable for the analysis of macro behaviors such as lower order frequencies, and the eigenelement methods with piecewise shape functions are suitable for the analysis of both macro and micro behaviors. Composite Elsevier Energy equivalence Elsevier Deformation similarity Elsevier Multiscale Elsevier Eigenelement Elsevier Mechanical analysis Elsevier GAO, Yahe oth Enthalten in Elsevier Hélie, Thomas ELSEVIER Computable convergence bounds of series expansions for infinite dimensional linear-analytic systems and application 2014transfer abstract Amsterdam [u.a.] (DE-627)ELV017935458 volume:32 year:2019 number:1 pages:104-113 extent:10 https://doi.org/10.1016/j.cja.2018.07.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_63 GBV_ILN_70 44.48 Medizinische Genetik VZ AR 32 2019 1 104-113 10 |
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10.1016/j.cja.2018.07.003 doi GBV00000000000488.pica (DE-627)ELV045446849 (ELSEVIER)S1000-9361(18)30233-4 DE-627 ger DE-627 rakwb eng 000 VZ 620 VZ 610 VZ 44.48 bkl XING, Yufeng verfasserin aut Multiscale eigenelement method for periodical composites: A review 2019transfer abstract 10 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Based on the eigenvector expansion idea, the Multiscale Eigenelement Method (MEM) was proposed by the author and co-workers. MEM satisfies two equivalent conditions, one condition is the equivalence of strain energy, and the other is the deformation similarity. These two equivalent conditions character the structure-preserving property of a multiscale analysis method. The equivalence of strain energy is necessary for achieving accurate macro behaviors such as lower order frequencies, while the deformation similarity is essential for predicting accurate micro behaviors such as stresses. The MEM has become a powerful multiscale method for the analysis of composite structures because of its high accuracy and efficiency. In this paper, the research advances of MEM are reviewed and all types of eigenelement methods are compared, focusing on superiorities and deficiencies from practical viewpoint. It is concluded that the eigenelement methods with smooth shape functions are more suitable for the analysis of macro behaviors such as lower order frequencies, and the eigenelement methods with piecewise shape functions are suitable for the analysis of both macro and micro behaviors. Based on the eigenvector expansion idea, the Multiscale Eigenelement Method (MEM) was proposed by the author and co-workers. MEM satisfies two equivalent conditions, one condition is the equivalence of strain energy, and the other is the deformation similarity. These two equivalent conditions character the structure-preserving property of a multiscale analysis method. The equivalence of strain energy is necessary for achieving accurate macro behaviors such as lower order frequencies, while the deformation similarity is essential for predicting accurate micro behaviors such as stresses. The MEM has become a powerful multiscale method for the analysis of composite structures because of its high accuracy and efficiency. In this paper, the research advances of MEM are reviewed and all types of eigenelement methods are compared, focusing on superiorities and deficiencies from practical viewpoint. It is concluded that the eigenelement methods with smooth shape functions are more suitable for the analysis of macro behaviors such as lower order frequencies, and the eigenelement methods with piecewise shape functions are suitable for the analysis of both macro and micro behaviors. Composite Elsevier Energy equivalence Elsevier Deformation similarity Elsevier Multiscale Elsevier Eigenelement Elsevier Mechanical analysis Elsevier GAO, Yahe oth Enthalten in Elsevier Hélie, Thomas ELSEVIER Computable convergence bounds of series expansions for infinite dimensional linear-analytic systems and application 2014transfer abstract Amsterdam [u.a.] (DE-627)ELV017935458 volume:32 year:2019 number:1 pages:104-113 extent:10 https://doi.org/10.1016/j.cja.2018.07.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_63 GBV_ILN_70 44.48 Medizinische Genetik VZ AR 32 2019 1 104-113 10 |
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10.1016/j.cja.2018.07.003 doi GBV00000000000488.pica (DE-627)ELV045446849 (ELSEVIER)S1000-9361(18)30233-4 DE-627 ger DE-627 rakwb eng 000 VZ 620 VZ 610 VZ 44.48 bkl XING, Yufeng verfasserin aut Multiscale eigenelement method for periodical composites: A review 2019transfer abstract 10 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Based on the eigenvector expansion idea, the Multiscale Eigenelement Method (MEM) was proposed by the author and co-workers. MEM satisfies two equivalent conditions, one condition is the equivalence of strain energy, and the other is the deformation similarity. These two equivalent conditions character the structure-preserving property of a multiscale analysis method. The equivalence of strain energy is necessary for achieving accurate macro behaviors such as lower order frequencies, while the deformation similarity is essential for predicting accurate micro behaviors such as stresses. The MEM has become a powerful multiscale method for the analysis of composite structures because of its high accuracy and efficiency. In this paper, the research advances of MEM are reviewed and all types of eigenelement methods are compared, focusing on superiorities and deficiencies from practical viewpoint. It is concluded that the eigenelement methods with smooth shape functions are more suitable for the analysis of macro behaviors such as lower order frequencies, and the eigenelement methods with piecewise shape functions are suitable for the analysis of both macro and micro behaviors. Based on the eigenvector expansion idea, the Multiscale Eigenelement Method (MEM) was proposed by the author and co-workers. MEM satisfies two equivalent conditions, one condition is the equivalence of strain energy, and the other is the deformation similarity. These two equivalent conditions character the structure-preserving property of a multiscale analysis method. The equivalence of strain energy is necessary for achieving accurate macro behaviors such as lower order frequencies, while the deformation similarity is essential for predicting accurate micro behaviors such as stresses. The MEM has become a powerful multiscale method for the analysis of composite structures because of its high accuracy and efficiency. In this paper, the research advances of MEM are reviewed and all types of eigenelement methods are compared, focusing on superiorities and deficiencies from practical viewpoint. It is concluded that the eigenelement methods with smooth shape functions are more suitable for the analysis of macro behaviors such as lower order frequencies, and the eigenelement methods with piecewise shape functions are suitable for the analysis of both macro and micro behaviors. Composite Elsevier Energy equivalence Elsevier Deformation similarity Elsevier Multiscale Elsevier Eigenelement Elsevier Mechanical analysis Elsevier GAO, Yahe oth Enthalten in Elsevier Hélie, Thomas ELSEVIER Computable convergence bounds of series expansions for infinite dimensional linear-analytic systems and application 2014transfer abstract Amsterdam [u.a.] (DE-627)ELV017935458 volume:32 year:2019 number:1 pages:104-113 extent:10 https://doi.org/10.1016/j.cja.2018.07.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_63 GBV_ILN_70 44.48 Medizinische Genetik VZ AR 32 2019 1 104-113 10 |
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10.1016/j.cja.2018.07.003 doi GBV00000000000488.pica (DE-627)ELV045446849 (ELSEVIER)S1000-9361(18)30233-4 DE-627 ger DE-627 rakwb eng 000 VZ 620 VZ 610 VZ 44.48 bkl XING, Yufeng verfasserin aut Multiscale eigenelement method for periodical composites: A review 2019transfer abstract 10 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Based on the eigenvector expansion idea, the Multiscale Eigenelement Method (MEM) was proposed by the author and co-workers. MEM satisfies two equivalent conditions, one condition is the equivalence of strain energy, and the other is the deformation similarity. These two equivalent conditions character the structure-preserving property of a multiscale analysis method. The equivalence of strain energy is necessary for achieving accurate macro behaviors such as lower order frequencies, while the deformation similarity is essential for predicting accurate micro behaviors such as stresses. The MEM has become a powerful multiscale method for the analysis of composite structures because of its high accuracy and efficiency. In this paper, the research advances of MEM are reviewed and all types of eigenelement methods are compared, focusing on superiorities and deficiencies from practical viewpoint. It is concluded that the eigenelement methods with smooth shape functions are more suitable for the analysis of macro behaviors such as lower order frequencies, and the eigenelement methods with piecewise shape functions are suitable for the analysis of both macro and micro behaviors. Based on the eigenvector expansion idea, the Multiscale Eigenelement Method (MEM) was proposed by the author and co-workers. MEM satisfies two equivalent conditions, one condition is the equivalence of strain energy, and the other is the deformation similarity. These two equivalent conditions character the structure-preserving property of a multiscale analysis method. The equivalence of strain energy is necessary for achieving accurate macro behaviors such as lower order frequencies, while the deformation similarity is essential for predicting accurate micro behaviors such as stresses. The MEM has become a powerful multiscale method for the analysis of composite structures because of its high accuracy and efficiency. In this paper, the research advances of MEM are reviewed and all types of eigenelement methods are compared, focusing on superiorities and deficiencies from practical viewpoint. It is concluded that the eigenelement methods with smooth shape functions are more suitable for the analysis of macro behaviors such as lower order frequencies, and the eigenelement methods with piecewise shape functions are suitable for the analysis of both macro and micro behaviors. Composite Elsevier Energy equivalence Elsevier Deformation similarity Elsevier Multiscale Elsevier Eigenelement Elsevier Mechanical analysis Elsevier GAO, Yahe oth Enthalten in Elsevier Hélie, Thomas ELSEVIER Computable convergence bounds of series expansions for infinite dimensional linear-analytic systems and application 2014transfer abstract Amsterdam [u.a.] (DE-627)ELV017935458 volume:32 year:2019 number:1 pages:104-113 extent:10 https://doi.org/10.1016/j.cja.2018.07.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_63 GBV_ILN_70 44.48 Medizinische Genetik VZ AR 32 2019 1 104-113 10 |
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10.1016/j.cja.2018.07.003 doi GBV00000000000488.pica (DE-627)ELV045446849 (ELSEVIER)S1000-9361(18)30233-4 DE-627 ger DE-627 rakwb eng 000 VZ 620 VZ 610 VZ 44.48 bkl XING, Yufeng verfasserin aut Multiscale eigenelement method for periodical composites: A review 2019transfer abstract 10 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier Based on the eigenvector expansion idea, the Multiscale Eigenelement Method (MEM) was proposed by the author and co-workers. MEM satisfies two equivalent conditions, one condition is the equivalence of strain energy, and the other is the deformation similarity. These two equivalent conditions character the structure-preserving property of a multiscale analysis method. The equivalence of strain energy is necessary for achieving accurate macro behaviors such as lower order frequencies, while the deformation similarity is essential for predicting accurate micro behaviors such as stresses. The MEM has become a powerful multiscale method for the analysis of composite structures because of its high accuracy and efficiency. In this paper, the research advances of MEM are reviewed and all types of eigenelement methods are compared, focusing on superiorities and deficiencies from practical viewpoint. It is concluded that the eigenelement methods with smooth shape functions are more suitable for the analysis of macro behaviors such as lower order frequencies, and the eigenelement methods with piecewise shape functions are suitable for the analysis of both macro and micro behaviors. Based on the eigenvector expansion idea, the Multiscale Eigenelement Method (MEM) was proposed by the author and co-workers. MEM satisfies two equivalent conditions, one condition is the equivalence of strain energy, and the other is the deformation similarity. These two equivalent conditions character the structure-preserving property of a multiscale analysis method. The equivalence of strain energy is necessary for achieving accurate macro behaviors such as lower order frequencies, while the deformation similarity is essential for predicting accurate micro behaviors such as stresses. The MEM has become a powerful multiscale method for the analysis of composite structures because of its high accuracy and efficiency. In this paper, the research advances of MEM are reviewed and all types of eigenelement methods are compared, focusing on superiorities and deficiencies from practical viewpoint. It is concluded that the eigenelement methods with smooth shape functions are more suitable for the analysis of macro behaviors such as lower order frequencies, and the eigenelement methods with piecewise shape functions are suitable for the analysis of both macro and micro behaviors. Composite Elsevier Energy equivalence Elsevier Deformation similarity Elsevier Multiscale Elsevier Eigenelement Elsevier Mechanical analysis Elsevier GAO, Yahe oth Enthalten in Elsevier Hélie, Thomas ELSEVIER Computable convergence bounds of series expansions for infinite dimensional linear-analytic systems and application 2014transfer abstract Amsterdam [u.a.] (DE-627)ELV017935458 volume:32 year:2019 number:1 pages:104-113 extent:10 https://doi.org/10.1016/j.cja.2018.07.003 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA GBV_ILN_63 GBV_ILN_70 44.48 Medizinische Genetik VZ AR 32 2019 1 104-113 10 |
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Enthalten in Computable convergence bounds of series expansions for infinite dimensional linear-analytic systems and application Amsterdam [u.a.] volume:32 year:2019 number:1 pages:104-113 extent:10 |
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Enthalten in Computable convergence bounds of series expansions for infinite dimensional linear-analytic systems and application Amsterdam [u.a.] volume:32 year:2019 number:1 pages:104-113 extent:10 |
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Based on the eigenvector expansion idea, the Multiscale Eigenelement Method (MEM) was proposed by the author and co-workers. MEM satisfies two equivalent conditions, one condition is the equivalence of strain energy, and the other is the deformation similarity. These two equivalent conditions character the structure-preserving property of a multiscale analysis method. The equivalence of strain energy is necessary for achieving accurate macro behaviors such as lower order frequencies, while the deformation similarity is essential for predicting accurate micro behaviors such as stresses. The MEM has become a powerful multiscale method for the analysis of composite structures because of its high accuracy and efficiency. In this paper, the research advances of MEM are reviewed and all types of eigenelement methods are compared, focusing on superiorities and deficiencies from practical viewpoint. It is concluded that the eigenelement methods with smooth shape functions are more suitable for the analysis of macro behaviors such as lower order frequencies, and the eigenelement methods with piecewise shape functions are suitable for the analysis of both macro and micro behaviors. |
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Based on the eigenvector expansion idea, the Multiscale Eigenelement Method (MEM) was proposed by the author and co-workers. MEM satisfies two equivalent conditions, one condition is the equivalence of strain energy, and the other is the deformation similarity. These two equivalent conditions character the structure-preserving property of a multiscale analysis method. The equivalence of strain energy is necessary for achieving accurate macro behaviors such as lower order frequencies, while the deformation similarity is essential for predicting accurate micro behaviors such as stresses. The MEM has become a powerful multiscale method for the analysis of composite structures because of its high accuracy and efficiency. In this paper, the research advances of MEM are reviewed and all types of eigenelement methods are compared, focusing on superiorities and deficiencies from practical viewpoint. It is concluded that the eigenelement methods with smooth shape functions are more suitable for the analysis of macro behaviors such as lower order frequencies, and the eigenelement methods with piecewise shape functions are suitable for the analysis of both macro and micro behaviors. |
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Based on the eigenvector expansion idea, the Multiscale Eigenelement Method (MEM) was proposed by the author and co-workers. MEM satisfies two equivalent conditions, one condition is the equivalence of strain energy, and the other is the deformation similarity. These two equivalent conditions character the structure-preserving property of a multiscale analysis method. The equivalence of strain energy is necessary for achieving accurate macro behaviors such as lower order frequencies, while the deformation similarity is essential for predicting accurate micro behaviors such as stresses. The MEM has become a powerful multiscale method for the analysis of composite structures because of its high accuracy and efficiency. In this paper, the research advances of MEM are reviewed and all types of eigenelement methods are compared, focusing on superiorities and deficiencies from practical viewpoint. It is concluded that the eigenelement methods with smooth shape functions are more suitable for the analysis of macro behaviors such as lower order frequencies, and the eigenelement methods with piecewise shape functions are suitable for the analysis of both macro and micro behaviors. |
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