A new curved gradient deficient shell element of absolute nodal coordinate formulation for modeling thin shell structures
Abstract A curved gradient deficient shell element for the Absolute Nodal Coordinate Formulation (ANCF) is proposed for modeling initially thin curved structures. Unlike the fully parameterized elements of ANCF, a full mapping of the gradient vectors between different configurations is not available...
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Gespeichert in:
| Autor*in: |
Yan, D. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2013 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media Dordrecht 2013 |
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| Übergeordnetes Werk: |
Enthalten in: Nonlinear dynamics - Springer Netherlands, 1990, 74(2013), 1-2 vom: 30. Mai, Seite 153-164 |
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| Übergeordnetes Werk: |
volume:74 ; year:2013 ; number:1-2 ; day:30 ; month:05 ; pages:153-164 |
| Links: |
|---|
| DOI / URN: |
10.1007/s11071-013-0955-z |
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OLC2051099545 |
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| 520 | |a Abstract A curved gradient deficient shell element for the Absolute Nodal Coordinate Formulation (ANCF) is proposed for modeling initially thin curved structures. Unlike the fully parameterized elements of ANCF, a full mapping of the gradient vectors between different configurations is not available for gradient deficient elements, therefore it is cumbersome to work in a rectangular coordinate system for an initially curved element. In this study, a curvilinear coordinate system is adopted as the undeformed Lagrangian coordinates, and the Green–Lagrange strain tensor with respect to the curvilinear frame is utilized to characterize the deformation energy of the shell element. As a result, the strain due to the initially curved element shape is eliminated naturally, and the element formulation is obtained in a concise mathematical form with a clear physical interpretation. For thin structures, the simplified formulations for the evaluation of elastic forces are also given. Moreover, an approach to deal with the on-surface slope discontinuity is also proposed for modeling general curved shell structures. Finally, the developed element of ANCF is validated by several numerical examples. | ||
| 650 | 4 | |a Absolute nodal coordinate formulation (ANCF) | |
| 650 | 4 | |a Gradient deficient element | |
| 650 | 4 | |a Shell element | |
| 650 | 4 | |a Slope discontinuity | |
| 700 | 1 | |a Liu, C. |4 aut | |
| 700 | 1 | |a Tian, Q. |4 aut | |
| 700 | 1 | |a Zhang, K. |4 aut | |
| 700 | 1 | |a Liu, X. N. |4 aut | |
| 700 | 1 | |a Hu, G. K. |4 aut | |
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10.1007/s11071-013-0955-z doi (DE-627)OLC2051099545 (DE-He213)s11071-013-0955-z-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Yan, D. verfasserin aut A new curved gradient deficient shell element of absolute nodal coordinate formulation for modeling thin shell structures 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2013 Abstract A curved gradient deficient shell element for the Absolute Nodal Coordinate Formulation (ANCF) is proposed for modeling initially thin curved structures. Unlike the fully parameterized elements of ANCF, a full mapping of the gradient vectors between different configurations is not available for gradient deficient elements, therefore it is cumbersome to work in a rectangular coordinate system for an initially curved element. In this study, a curvilinear coordinate system is adopted as the undeformed Lagrangian coordinates, and the Green–Lagrange strain tensor with respect to the curvilinear frame is utilized to characterize the deformation energy of the shell element. As a result, the strain due to the initially curved element shape is eliminated naturally, and the element formulation is obtained in a concise mathematical form with a clear physical interpretation. For thin structures, the simplified formulations for the evaluation of elastic forces are also given. Moreover, an approach to deal with the on-surface slope discontinuity is also proposed for modeling general curved shell structures. Finally, the developed element of ANCF is validated by several numerical examples. Absolute nodal coordinate formulation (ANCF) Gradient deficient element Shell element Slope discontinuity Liu, C. aut Tian, Q. aut Zhang, K. aut Liu, X. N. aut Hu, G. K. aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 74(2013), 1-2 vom: 30. Mai, Seite 153-164 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:74 year:2013 number:1-2 day:30 month:05 pages:153-164 https://doi.org/10.1007/s11071-013-0955-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 74 2013 1-2 30 05 153-164 |
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10.1007/s11071-013-0955-z doi (DE-627)OLC2051099545 (DE-He213)s11071-013-0955-z-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Yan, D. verfasserin aut A new curved gradient deficient shell element of absolute nodal coordinate formulation for modeling thin shell structures 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2013 Abstract A curved gradient deficient shell element for the Absolute Nodal Coordinate Formulation (ANCF) is proposed for modeling initially thin curved structures. Unlike the fully parameterized elements of ANCF, a full mapping of the gradient vectors between different configurations is not available for gradient deficient elements, therefore it is cumbersome to work in a rectangular coordinate system for an initially curved element. In this study, a curvilinear coordinate system is adopted as the undeformed Lagrangian coordinates, and the Green–Lagrange strain tensor with respect to the curvilinear frame is utilized to characterize the deformation energy of the shell element. As a result, the strain due to the initially curved element shape is eliminated naturally, and the element formulation is obtained in a concise mathematical form with a clear physical interpretation. For thin structures, the simplified formulations for the evaluation of elastic forces are also given. Moreover, an approach to deal with the on-surface slope discontinuity is also proposed for modeling general curved shell structures. Finally, the developed element of ANCF is validated by several numerical examples. Absolute nodal coordinate formulation (ANCF) Gradient deficient element Shell element Slope discontinuity Liu, C. aut Tian, Q. aut Zhang, K. aut Liu, X. N. aut Hu, G. K. aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 74(2013), 1-2 vom: 30. Mai, Seite 153-164 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:74 year:2013 number:1-2 day:30 month:05 pages:153-164 https://doi.org/10.1007/s11071-013-0955-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 74 2013 1-2 30 05 153-164 |
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10.1007/s11071-013-0955-z doi (DE-627)OLC2051099545 (DE-He213)s11071-013-0955-z-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Yan, D. verfasserin aut A new curved gradient deficient shell element of absolute nodal coordinate formulation for modeling thin shell structures 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2013 Abstract A curved gradient deficient shell element for the Absolute Nodal Coordinate Formulation (ANCF) is proposed for modeling initially thin curved structures. Unlike the fully parameterized elements of ANCF, a full mapping of the gradient vectors between different configurations is not available for gradient deficient elements, therefore it is cumbersome to work in a rectangular coordinate system for an initially curved element. In this study, a curvilinear coordinate system is adopted as the undeformed Lagrangian coordinates, and the Green–Lagrange strain tensor with respect to the curvilinear frame is utilized to characterize the deformation energy of the shell element. As a result, the strain due to the initially curved element shape is eliminated naturally, and the element formulation is obtained in a concise mathematical form with a clear physical interpretation. For thin structures, the simplified formulations for the evaluation of elastic forces are also given. Moreover, an approach to deal with the on-surface slope discontinuity is also proposed for modeling general curved shell structures. Finally, the developed element of ANCF is validated by several numerical examples. Absolute nodal coordinate formulation (ANCF) Gradient deficient element Shell element Slope discontinuity Liu, C. aut Tian, Q. aut Zhang, K. aut Liu, X. N. aut Hu, G. K. aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 74(2013), 1-2 vom: 30. Mai, Seite 153-164 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:74 year:2013 number:1-2 day:30 month:05 pages:153-164 https://doi.org/10.1007/s11071-013-0955-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 74 2013 1-2 30 05 153-164 |
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10.1007/s11071-013-0955-z doi (DE-627)OLC2051099545 (DE-He213)s11071-013-0955-z-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Yan, D. verfasserin aut A new curved gradient deficient shell element of absolute nodal coordinate formulation for modeling thin shell structures 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2013 Abstract A curved gradient deficient shell element for the Absolute Nodal Coordinate Formulation (ANCF) is proposed for modeling initially thin curved structures. Unlike the fully parameterized elements of ANCF, a full mapping of the gradient vectors between different configurations is not available for gradient deficient elements, therefore it is cumbersome to work in a rectangular coordinate system for an initially curved element. In this study, a curvilinear coordinate system is adopted as the undeformed Lagrangian coordinates, and the Green–Lagrange strain tensor with respect to the curvilinear frame is utilized to characterize the deformation energy of the shell element. As a result, the strain due to the initially curved element shape is eliminated naturally, and the element formulation is obtained in a concise mathematical form with a clear physical interpretation. For thin structures, the simplified formulations for the evaluation of elastic forces are also given. Moreover, an approach to deal with the on-surface slope discontinuity is also proposed for modeling general curved shell structures. Finally, the developed element of ANCF is validated by several numerical examples. Absolute nodal coordinate formulation (ANCF) Gradient deficient element Shell element Slope discontinuity Liu, C. aut Tian, Q. aut Zhang, K. aut Liu, X. N. aut Hu, G. K. aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 74(2013), 1-2 vom: 30. Mai, Seite 153-164 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:74 year:2013 number:1-2 day:30 month:05 pages:153-164 https://doi.org/10.1007/s11071-013-0955-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 74 2013 1-2 30 05 153-164 |
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10.1007/s11071-013-0955-z doi (DE-627)OLC2051099545 (DE-He213)s11071-013-0955-z-p DE-627 ger DE-627 rakwb eng 510 VZ 11 ssgn Yan, D. verfasserin aut A new curved gradient deficient shell element of absolute nodal coordinate formulation for modeling thin shell structures 2013 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media Dordrecht 2013 Abstract A curved gradient deficient shell element for the Absolute Nodal Coordinate Formulation (ANCF) is proposed for modeling initially thin curved structures. Unlike the fully parameterized elements of ANCF, a full mapping of the gradient vectors between different configurations is not available for gradient deficient elements, therefore it is cumbersome to work in a rectangular coordinate system for an initially curved element. In this study, a curvilinear coordinate system is adopted as the undeformed Lagrangian coordinates, and the Green–Lagrange strain tensor with respect to the curvilinear frame is utilized to characterize the deformation energy of the shell element. As a result, the strain due to the initially curved element shape is eliminated naturally, and the element formulation is obtained in a concise mathematical form with a clear physical interpretation. For thin structures, the simplified formulations for the evaluation of elastic forces are also given. Moreover, an approach to deal with the on-surface slope discontinuity is also proposed for modeling general curved shell structures. Finally, the developed element of ANCF is validated by several numerical examples. Absolute nodal coordinate formulation (ANCF) Gradient deficient element Shell element Slope discontinuity Liu, C. aut Tian, Q. aut Zhang, K. aut Liu, X. N. aut Hu, G. K. aut Enthalten in Nonlinear dynamics Springer Netherlands, 1990 74(2013), 1-2 vom: 30. Mai, Seite 153-164 (DE-627)130936782 (DE-600)1058624-6 (DE-576)034188126 0924-090X nnns volume:74 year:2013 number:1-2 day:30 month:05 pages:153-164 https://doi.org/10.1007/s11071-013-0955-z lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-TEC SSG-OLC-PHY SSG-OLC-CHE SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 AR 74 2013 1-2 30 05 153-164 |
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A new curved gradient deficient shell element of absolute nodal coordinate formulation for modeling thin shell structures |
| abstract |
Abstract A curved gradient deficient shell element for the Absolute Nodal Coordinate Formulation (ANCF) is proposed for modeling initially thin curved structures. Unlike the fully parameterized elements of ANCF, a full mapping of the gradient vectors between different configurations is not available for gradient deficient elements, therefore it is cumbersome to work in a rectangular coordinate system for an initially curved element. In this study, a curvilinear coordinate system is adopted as the undeformed Lagrangian coordinates, and the Green–Lagrange strain tensor with respect to the curvilinear frame is utilized to characterize the deformation energy of the shell element. As a result, the strain due to the initially curved element shape is eliminated naturally, and the element formulation is obtained in a concise mathematical form with a clear physical interpretation. For thin structures, the simplified formulations for the evaluation of elastic forces are also given. Moreover, an approach to deal with the on-surface slope discontinuity is also proposed for modeling general curved shell structures. Finally, the developed element of ANCF is validated by several numerical examples. © Springer Science+Business Media Dordrecht 2013 |
| abstractGer |
Abstract A curved gradient deficient shell element for the Absolute Nodal Coordinate Formulation (ANCF) is proposed for modeling initially thin curved structures. Unlike the fully parameterized elements of ANCF, a full mapping of the gradient vectors between different configurations is not available for gradient deficient elements, therefore it is cumbersome to work in a rectangular coordinate system for an initially curved element. In this study, a curvilinear coordinate system is adopted as the undeformed Lagrangian coordinates, and the Green–Lagrange strain tensor with respect to the curvilinear frame is utilized to characterize the deformation energy of the shell element. As a result, the strain due to the initially curved element shape is eliminated naturally, and the element formulation is obtained in a concise mathematical form with a clear physical interpretation. For thin structures, the simplified formulations for the evaluation of elastic forces are also given. Moreover, an approach to deal with the on-surface slope discontinuity is also proposed for modeling general curved shell structures. Finally, the developed element of ANCF is validated by several numerical examples. © Springer Science+Business Media Dordrecht 2013 |
| abstract_unstemmed |
Abstract A curved gradient deficient shell element for the Absolute Nodal Coordinate Formulation (ANCF) is proposed for modeling initially thin curved structures. Unlike the fully parameterized elements of ANCF, a full mapping of the gradient vectors between different configurations is not available for gradient deficient elements, therefore it is cumbersome to work in a rectangular coordinate system for an initially curved element. In this study, a curvilinear coordinate system is adopted as the undeformed Lagrangian coordinates, and the Green–Lagrange strain tensor with respect to the curvilinear frame is utilized to characterize the deformation energy of the shell element. As a result, the strain due to the initially curved element shape is eliminated naturally, and the element formulation is obtained in a concise mathematical form with a clear physical interpretation. For thin structures, the simplified formulations for the evaluation of elastic forces are also given. Moreover, an approach to deal with the on-surface slope discontinuity is also proposed for modeling general curved shell structures. Finally, the developed element of ANCF is validated by several numerical examples. © Springer Science+Business Media Dordrecht 2013 |
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| title_short |
A new curved gradient deficient shell element of absolute nodal coordinate formulation for modeling thin shell structures |
| url |
https://doi.org/10.1007/s11071-013-0955-z |
| remote_bool |
false |
| author2 |
Liu, C. Tian, Q. Zhang, K. Liu, X. N. Hu, G. K. |
| author2Str |
Liu, C. Tian, Q. Zhang, K. Liu, X. N. Hu, G. K. |
| ppnlink |
130936782 |
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| doi_str |
10.1007/s11071-013-0955-z |
| up_date |
2024-07-04T03:34:54.207Z |
| _version_ |
1803617927663976448 |
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