Nonlinear elastic deformation of Mindlin torus
The nonlinear deformation and stress analysis of a circular torus is a difficult undertaking due to its complicated topology and the variation of the Gauss curvature. A nonlinear deformation (only one term in strain is omitted) of Mindlin torus was formulated in terms of the generalized displacement...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Sun, B.H. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022transfer abstract |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Proximity-dependent protein detection based on enzyme-assisted fluorescence signal amplification - Tan, Yuyu ELSEVIER, 2014transfer abstract, Amsterdam [u.a.] |
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| Übergeordnetes Werk: |
volume:114 ; year:2022 ; pages:0 |
| Links: |
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| DOI / URN: |
10.1016/j.cnsns.2022.106698 |
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ELV05846252X |
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| 520 | |a The nonlinear deformation and stress analysis of a circular torus is a difficult undertaking due to its complicated topology and the variation of the Gauss curvature. A nonlinear deformation (only one term in strain is omitted) of Mindlin torus was formulated in terms of the generalized displacement, and a general Maple code was written for numerical simulations. Numerical investigations show that the results obtained by nonlinear Mindlin, linear Mindlin, nonlinear Kirchhoff–Love, and linear Kirchhoff–Love models are close to each other. The study further reveals that the linear Kirchhoff–Love modeling of the circular torus gives good accuracy and provides assurance that the nonlinear deformation and stress analysis (not dynamics) of a Mindlin torus can be replaced by a simpler formulation, such as a linear Kirchhoff–Love theory of the torus, which has not been reported in the literature. | ||
| 520 | |a The nonlinear deformation and stress analysis of a circular torus is a difficult undertaking due to its complicated topology and the variation of the Gauss curvature. A nonlinear deformation (only one term in strain is omitted) of Mindlin torus was formulated in terms of the generalized displacement, and a general Maple code was written for numerical simulations. Numerical investigations show that the results obtained by nonlinear Mindlin, linear Mindlin, nonlinear Kirchhoff–Love, and linear Kirchhoff–Love models are close to each other. The study further reveals that the linear Kirchhoff–Love modeling of the circular torus gives good accuracy and provides assurance that the nonlinear deformation and stress analysis (not dynamics) of a Mindlin torus can be replaced by a simpler formulation, such as a linear Kirchhoff–Love theory of the torus, which has not been reported in the literature. | ||
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10.1016/j.cnsns.2022.106698 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001852.pica (DE-627)ELV05846252X (ELSEVIER)S1007-5704(22)00255-6 DE-627 ger DE-627 rakwb eng 570 VZ 610 VZ 630 640 VZ 49.00 bkl Sun, B.H. verfasserin aut Nonlinear elastic deformation of Mindlin torus 2022transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The nonlinear deformation and stress analysis of a circular torus is a difficult undertaking due to its complicated topology and the variation of the Gauss curvature. A nonlinear deformation (only one term in strain is omitted) of Mindlin torus was formulated in terms of the generalized displacement, and a general Maple code was written for numerical simulations. Numerical investigations show that the results obtained by nonlinear Mindlin, linear Mindlin, nonlinear Kirchhoff–Love, and linear Kirchhoff–Love models are close to each other. The study further reveals that the linear Kirchhoff–Love modeling of the circular torus gives good accuracy and provides assurance that the nonlinear deformation and stress analysis (not dynamics) of a Mindlin torus can be replaced by a simpler formulation, such as a linear Kirchhoff–Love theory of the torus, which has not been reported in the literature. The nonlinear deformation and stress analysis of a circular torus is a difficult undertaking due to its complicated topology and the variation of the Gauss curvature. A nonlinear deformation (only one term in strain is omitted) of Mindlin torus was formulated in terms of the generalized displacement, and a general Maple code was written for numerical simulations. Numerical investigations show that the results obtained by nonlinear Mindlin, linear Mindlin, nonlinear Kirchhoff–Love, and linear Kirchhoff–Love models are close to each other. The study further reveals that the linear Kirchhoff–Love modeling of the circular torus gives good accuracy and provides assurance that the nonlinear deformation and stress analysis (not dynamics) of a Mindlin torus can be replaced by a simpler formulation, such as a linear Kirchhoff–Love theory of the torus, which has not been reported in the literature. Nonlinear deformation Elsevier Circular torus Elsevier Mindlin Elsevier Shear deformation Elsevier Gauss curvature Elsevier Maple Elsevier Enthalten in Elsevier Tan, Yuyu ELSEVIER Proximity-dependent protein detection based on enzyme-assisted fluorescence signal amplification 2014transfer abstract Amsterdam [u.a.] (DE-627)ELV012515639 volume:114 year:2022 pages:0 https://doi.org/10.1016/j.cnsns.2022.106698 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 49.00 Hauswirtschaft: Allgemeines VZ AR 114 2022 0 |
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10.1016/j.cnsns.2022.106698 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001852.pica (DE-627)ELV05846252X (ELSEVIER)S1007-5704(22)00255-6 DE-627 ger DE-627 rakwb eng 570 VZ 610 VZ 630 640 VZ 49.00 bkl Sun, B.H. verfasserin aut Nonlinear elastic deformation of Mindlin torus 2022transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The nonlinear deformation and stress analysis of a circular torus is a difficult undertaking due to its complicated topology and the variation of the Gauss curvature. A nonlinear deformation (only one term in strain is omitted) of Mindlin torus was formulated in terms of the generalized displacement, and a general Maple code was written for numerical simulations. Numerical investigations show that the results obtained by nonlinear Mindlin, linear Mindlin, nonlinear Kirchhoff–Love, and linear Kirchhoff–Love models are close to each other. The study further reveals that the linear Kirchhoff–Love modeling of the circular torus gives good accuracy and provides assurance that the nonlinear deformation and stress analysis (not dynamics) of a Mindlin torus can be replaced by a simpler formulation, such as a linear Kirchhoff–Love theory of the torus, which has not been reported in the literature. The nonlinear deformation and stress analysis of a circular torus is a difficult undertaking due to its complicated topology and the variation of the Gauss curvature. A nonlinear deformation (only one term in strain is omitted) of Mindlin torus was formulated in terms of the generalized displacement, and a general Maple code was written for numerical simulations. Numerical investigations show that the results obtained by nonlinear Mindlin, linear Mindlin, nonlinear Kirchhoff–Love, and linear Kirchhoff–Love models are close to each other. The study further reveals that the linear Kirchhoff–Love modeling of the circular torus gives good accuracy and provides assurance that the nonlinear deformation and stress analysis (not dynamics) of a Mindlin torus can be replaced by a simpler formulation, such as a linear Kirchhoff–Love theory of the torus, which has not been reported in the literature. Nonlinear deformation Elsevier Circular torus Elsevier Mindlin Elsevier Shear deformation Elsevier Gauss curvature Elsevier Maple Elsevier Enthalten in Elsevier Tan, Yuyu ELSEVIER Proximity-dependent protein detection based on enzyme-assisted fluorescence signal amplification 2014transfer abstract Amsterdam [u.a.] (DE-627)ELV012515639 volume:114 year:2022 pages:0 https://doi.org/10.1016/j.cnsns.2022.106698 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 49.00 Hauswirtschaft: Allgemeines VZ AR 114 2022 0 |
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10.1016/j.cnsns.2022.106698 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001852.pica (DE-627)ELV05846252X (ELSEVIER)S1007-5704(22)00255-6 DE-627 ger DE-627 rakwb eng 570 VZ 610 VZ 630 640 VZ 49.00 bkl Sun, B.H. verfasserin aut Nonlinear elastic deformation of Mindlin torus 2022transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The nonlinear deformation and stress analysis of a circular torus is a difficult undertaking due to its complicated topology and the variation of the Gauss curvature. A nonlinear deformation (only one term in strain is omitted) of Mindlin torus was formulated in terms of the generalized displacement, and a general Maple code was written for numerical simulations. Numerical investigations show that the results obtained by nonlinear Mindlin, linear Mindlin, nonlinear Kirchhoff–Love, and linear Kirchhoff–Love models are close to each other. The study further reveals that the linear Kirchhoff–Love modeling of the circular torus gives good accuracy and provides assurance that the nonlinear deformation and stress analysis (not dynamics) of a Mindlin torus can be replaced by a simpler formulation, such as a linear Kirchhoff–Love theory of the torus, which has not been reported in the literature. The nonlinear deformation and stress analysis of a circular torus is a difficult undertaking due to its complicated topology and the variation of the Gauss curvature. A nonlinear deformation (only one term in strain is omitted) of Mindlin torus was formulated in terms of the generalized displacement, and a general Maple code was written for numerical simulations. Numerical investigations show that the results obtained by nonlinear Mindlin, linear Mindlin, nonlinear Kirchhoff–Love, and linear Kirchhoff–Love models are close to each other. The study further reveals that the linear Kirchhoff–Love modeling of the circular torus gives good accuracy and provides assurance that the nonlinear deformation and stress analysis (not dynamics) of a Mindlin torus can be replaced by a simpler formulation, such as a linear Kirchhoff–Love theory of the torus, which has not been reported in the literature. Nonlinear deformation Elsevier Circular torus Elsevier Mindlin Elsevier Shear deformation Elsevier Gauss curvature Elsevier Maple Elsevier Enthalten in Elsevier Tan, Yuyu ELSEVIER Proximity-dependent protein detection based on enzyme-assisted fluorescence signal amplification 2014transfer abstract Amsterdam [u.a.] (DE-627)ELV012515639 volume:114 year:2022 pages:0 https://doi.org/10.1016/j.cnsns.2022.106698 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 49.00 Hauswirtschaft: Allgemeines VZ AR 114 2022 0 |
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10.1016/j.cnsns.2022.106698 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001852.pica (DE-627)ELV05846252X (ELSEVIER)S1007-5704(22)00255-6 DE-627 ger DE-627 rakwb eng 570 VZ 610 VZ 630 640 VZ 49.00 bkl Sun, B.H. verfasserin aut Nonlinear elastic deformation of Mindlin torus 2022transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The nonlinear deformation and stress analysis of a circular torus is a difficult undertaking due to its complicated topology and the variation of the Gauss curvature. A nonlinear deformation (only one term in strain is omitted) of Mindlin torus was formulated in terms of the generalized displacement, and a general Maple code was written for numerical simulations. Numerical investigations show that the results obtained by nonlinear Mindlin, linear Mindlin, nonlinear Kirchhoff–Love, and linear Kirchhoff–Love models are close to each other. The study further reveals that the linear Kirchhoff–Love modeling of the circular torus gives good accuracy and provides assurance that the nonlinear deformation and stress analysis (not dynamics) of a Mindlin torus can be replaced by a simpler formulation, such as a linear Kirchhoff–Love theory of the torus, which has not been reported in the literature. The nonlinear deformation and stress analysis of a circular torus is a difficult undertaking due to its complicated topology and the variation of the Gauss curvature. A nonlinear deformation (only one term in strain is omitted) of Mindlin torus was formulated in terms of the generalized displacement, and a general Maple code was written for numerical simulations. Numerical investigations show that the results obtained by nonlinear Mindlin, linear Mindlin, nonlinear Kirchhoff–Love, and linear Kirchhoff–Love models are close to each other. The study further reveals that the linear Kirchhoff–Love modeling of the circular torus gives good accuracy and provides assurance that the nonlinear deformation and stress analysis (not dynamics) of a Mindlin torus can be replaced by a simpler formulation, such as a linear Kirchhoff–Love theory of the torus, which has not been reported in the literature. Nonlinear deformation Elsevier Circular torus Elsevier Mindlin Elsevier Shear deformation Elsevier Gauss curvature Elsevier Maple Elsevier Enthalten in Elsevier Tan, Yuyu ELSEVIER Proximity-dependent protein detection based on enzyme-assisted fluorescence signal amplification 2014transfer abstract Amsterdam [u.a.] (DE-627)ELV012515639 volume:114 year:2022 pages:0 https://doi.org/10.1016/j.cnsns.2022.106698 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 49.00 Hauswirtschaft: Allgemeines VZ AR 114 2022 0 |
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10.1016/j.cnsns.2022.106698 doi /cbs_pica/cbs_olc/import_discovery/elsevier/einzuspielen/GBV00000000001852.pica (DE-627)ELV05846252X (ELSEVIER)S1007-5704(22)00255-6 DE-627 ger DE-627 rakwb eng 570 VZ 610 VZ 630 640 VZ 49.00 bkl Sun, B.H. verfasserin aut Nonlinear elastic deformation of Mindlin torus 2022transfer abstract nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The nonlinear deformation and stress analysis of a circular torus is a difficult undertaking due to its complicated topology and the variation of the Gauss curvature. A nonlinear deformation (only one term in strain is omitted) of Mindlin torus was formulated in terms of the generalized displacement, and a general Maple code was written for numerical simulations. Numerical investigations show that the results obtained by nonlinear Mindlin, linear Mindlin, nonlinear Kirchhoff–Love, and linear Kirchhoff–Love models are close to each other. The study further reveals that the linear Kirchhoff–Love modeling of the circular torus gives good accuracy and provides assurance that the nonlinear deformation and stress analysis (not dynamics) of a Mindlin torus can be replaced by a simpler formulation, such as a linear Kirchhoff–Love theory of the torus, which has not been reported in the literature. The nonlinear deformation and stress analysis of a circular torus is a difficult undertaking due to its complicated topology and the variation of the Gauss curvature. A nonlinear deformation (only one term in strain is omitted) of Mindlin torus was formulated in terms of the generalized displacement, and a general Maple code was written for numerical simulations. Numerical investigations show that the results obtained by nonlinear Mindlin, linear Mindlin, nonlinear Kirchhoff–Love, and linear Kirchhoff–Love models are close to each other. The study further reveals that the linear Kirchhoff–Love modeling of the circular torus gives good accuracy and provides assurance that the nonlinear deformation and stress analysis (not dynamics) of a Mindlin torus can be replaced by a simpler formulation, such as a linear Kirchhoff–Love theory of the torus, which has not been reported in the literature. Nonlinear deformation Elsevier Circular torus Elsevier Mindlin Elsevier Shear deformation Elsevier Gauss curvature Elsevier Maple Elsevier Enthalten in Elsevier Tan, Yuyu ELSEVIER Proximity-dependent protein detection based on enzyme-assisted fluorescence signal amplification 2014transfer abstract Amsterdam [u.a.] (DE-627)ELV012515639 volume:114 year:2022 pages:0 https://doi.org/10.1016/j.cnsns.2022.106698 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U 49.00 Hauswirtschaft: Allgemeines VZ AR 114 2022 0 |
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Sun, B.H. |
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Elektronische Aufsätze |
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Sun, B.H. |
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10.1016/j.cnsns.2022.106698 |
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570 610 630 640 |
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nonlinear elastic deformation of mindlin torus |
| title_auth |
Nonlinear elastic deformation of Mindlin torus |
| abstract |
The nonlinear deformation and stress analysis of a circular torus is a difficult undertaking due to its complicated topology and the variation of the Gauss curvature. A nonlinear deformation (only one term in strain is omitted) of Mindlin torus was formulated in terms of the generalized displacement, and a general Maple code was written for numerical simulations. Numerical investigations show that the results obtained by nonlinear Mindlin, linear Mindlin, nonlinear Kirchhoff–Love, and linear Kirchhoff–Love models are close to each other. The study further reveals that the linear Kirchhoff–Love modeling of the circular torus gives good accuracy and provides assurance that the nonlinear deformation and stress analysis (not dynamics) of a Mindlin torus can be replaced by a simpler formulation, such as a linear Kirchhoff–Love theory of the torus, which has not been reported in the literature. |
| abstractGer |
The nonlinear deformation and stress analysis of a circular torus is a difficult undertaking due to its complicated topology and the variation of the Gauss curvature. A nonlinear deformation (only one term in strain is omitted) of Mindlin torus was formulated in terms of the generalized displacement, and a general Maple code was written for numerical simulations. Numerical investigations show that the results obtained by nonlinear Mindlin, linear Mindlin, nonlinear Kirchhoff–Love, and linear Kirchhoff–Love models are close to each other. The study further reveals that the linear Kirchhoff–Love modeling of the circular torus gives good accuracy and provides assurance that the nonlinear deformation and stress analysis (not dynamics) of a Mindlin torus can be replaced by a simpler formulation, such as a linear Kirchhoff–Love theory of the torus, which has not been reported in the literature. |
| abstract_unstemmed |
The nonlinear deformation and stress analysis of a circular torus is a difficult undertaking due to its complicated topology and the variation of the Gauss curvature. A nonlinear deformation (only one term in strain is omitted) of Mindlin torus was formulated in terms of the generalized displacement, and a general Maple code was written for numerical simulations. Numerical investigations show that the results obtained by nonlinear Mindlin, linear Mindlin, nonlinear Kirchhoff–Love, and linear Kirchhoff–Love models are close to each other. The study further reveals that the linear Kirchhoff–Love modeling of the circular torus gives good accuracy and provides assurance that the nonlinear deformation and stress analysis (not dynamics) of a Mindlin torus can be replaced by a simpler formulation, such as a linear Kirchhoff–Love theory of the torus, which has not been reported in the literature. |
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Nonlinear elastic deformation of Mindlin torus |
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https://doi.org/10.1016/j.cnsns.2022.106698 |
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