Extending a higher-order foldability constitutive model for dynamic response analysis of 3D-reinforced shell of deformable: Extending a higher-order foldability constitutive model: X. Li et al.

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Title: Extending a higher-order foldability constitutive model for dynamic response analysis of 3D-reinforced shell of deformable: Extending a higher-order foldability constitutive model: X. Li et al.
Authors: Li, Xizhu1 (AUTHOR) 40001204@njtc.edu.cn, Luo, Ling2 (AUTHOR), Habibi, Mostafa3,4,5 (AUTHOR), Wang, Luyao1 (AUTHOR)
Source: Acta Mechanica. Mar2025, Vol. 236 Issue 3, p1509-1533. 25p.
Subjects: Curvilinear coordinates, Equations of motion, Curvilinear motion, Copper, Mathematical models
Abstract: This analytical paper investigates application of a novel higher-order shear deformable mathematical model for investigating vibrational analysis of a doubly curved shell in which the kinematic relations are extended using the variable-thickness transverse deflection. The Hamiltonian method is extended to derive the governing motions equations in the curvilinear coordinate system. The constitutive relations are extended using the experimental and statistical relations in the literature for a copper matrix including various amount of three-dimensional graphene nanofillers named as graphene origami using hydrogenation process. The analytical results are presented using the mathematical model in order to trace the impact of graphene origami characteristics and geometric parameters of the double-curved shell. The temperature-dependency relations for material properties as well as folding and content are employed for investigating the impact of affecting parameters. The results are presented with and without thickness stretching effect to arrive at a more confidence results. [ABSTRACT FROM AUTHOR]
Copyright of Acta Mechanica is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: <searchLink fieldCode="JN" term="%22Acta+Mechanica%22">Acta Mechanica</searchLink>. Mar2025, Vol. 236 Issue 3, p1509-1533. 25p.
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  Data: <searchLink fieldCode="DE" term="%22Curvilinear+coordinates%22">Curvilinear coordinates</searchLink><br /><searchLink fieldCode="DE" term="%22Equations+of+motion%22">Equations of motion</searchLink><br /><searchLink fieldCode="DE" term="%22Curvilinear+motion%22">Curvilinear motion</searchLink><br /><searchLink fieldCode="DE" term="%22Copper%22">Copper</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink>
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  Label: Abstract
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  Data: This analytical paper investigates application of a novel higher-order shear deformable mathematical model for investigating vibrational analysis of a doubly curved shell in which the kinematic relations are extended using the variable-thickness transverse deflection. The Hamiltonian method is extended to derive the governing motions equations in the curvilinear coordinate system. The constitutive relations are extended using the experimental and statistical relations in the literature for a copper matrix including various amount of three-dimensional graphene nanofillers named as graphene origami using hydrogenation process. The analytical results are presented using the mathematical model in order to trace the impact of graphene origami characteristics and geometric parameters of the double-curved shell. The temperature-dependency relations for material properties as well as folding and content are employed for investigating the impact of affecting parameters. The results are presented with and without thickness stretching effect to arrive at a more confidence results. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Acta Mechanica is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s00707-024-04216-2
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      – Code: eng
        Text: English
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      – SubjectFull: Equations of motion
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      – SubjectFull: Curvilinear motion
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      – TitleFull: Extending a higher-order foldability constitutive model for dynamic response analysis of 3D-reinforced shell of deformable: Extending a higher-order foldability constitutive model: X. Li et al.
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            NameFull: Li, Xizhu
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            NameFull: Luo, Ling
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            NameFull: Habibi, Mostafa
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            – D: 01
              M: 03
              Text: Mar2025
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              Y: 2025
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