A simple geometrically exact finite element for thin shells: part 2—dynamics.
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| Title: | A simple geometrically exact finite element for thin shells: part 2—dynamics. |
|---|---|
| Authors: | Pimenta, Paulo M.1 (AUTHOR) ppimenta@usp.br, Sanchez, Matheus L.1 (AUTHOR) matheus.sanchez@usp.br, Ibrahimbegovic, Adnan2 (AUTHOR) adnan.ibrahimbegovic@utc.fr |
| Source: | Computational Mechanics. Jan2026, Vol. 77 Issue 1, p337-356. 20p. |
| Subjects: | Finite element method, Structural shells, Continuous time models, Rotational motion, Deformations (Mechanics) |
| Abstract: | This paper is the continuation of the previous article Sanchez et al. (Comput Mech 72:1119–1139, 2023) which has introduced a new triangular nonlinear shell finite element, denoted as T6-3iKL, designed to handle large displacements and rotations. This second part focuses on adapting the dynamic algorithm from Pimenta et al. (Comput Mech 42(5):715–732, 2008) and Campello et al. (Comput Mech 48(2):195–211, 2011) to deal with long-term dynamics. The element features 6 nodes, a quadratic displacement field, and a linear rotation field using Rodrigues incremental rotation parameters, which have been the biggest contribution from previous work, resulting in 21 degrees of freedom. The kinematic model from present element integrates principles from shear-rigid shell theory. The way the rotation field is parameterized in this kinematic model enables rotation continuity between adjacent elements through a single scalar at midside nodes, facilitating multiple branch connections in the mesh without introducing artificial parameters like penalties or Lagrange multipliers. The numerical implementation of the model is validated through comparisons with different references, demonstrating the consistency and reliability of the formulation. The proposed triangular shell element, characterized by its versatility, simplicity in kinematics, low number of DOFs, no need for artificial parameter calibration, geometric exactness, and compatibility with 3D material models, offers an effective solution for shell simulation in countless engineering applications. [ABSTRACT FROM AUTHOR] |
| Copyright of Computational Mechanics 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.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 191450849 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A simple geometrically exact finite element for thin shells: part 2—dynamics. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Pimenta%2C+Paulo+M%2E%22">Pimenta, Paulo M.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> ppimenta@usp.br</i><br /><searchLink fieldCode="AR" term="%22Sanchez%2C+Matheus+L%2E%22">Sanchez, Matheus L.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> matheus.sanchez@usp.br</i><br /><searchLink fieldCode="AR" term="%22Ibrahimbegovic%2C+Adnan%22">Ibrahimbegovic, Adnan</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> adnan.ibrahimbegovic@utc.fr</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Computational+Mechanics%22">Computational Mechanics</searchLink>. Jan2026, Vol. 77 Issue 1, p337-356. 20p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Structural+shells%22">Structural shells</searchLink><br /><searchLink fieldCode="DE" term="%22Continuous+time+models%22">Continuous time models</searchLink><br /><searchLink fieldCode="DE" term="%22Rotational+motion%22">Rotational motion</searchLink><br /><searchLink fieldCode="DE" term="%22Deformations+%28Mechanics%29%22">Deformations (Mechanics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper is the continuation of the previous article Sanchez et al. (Comput Mech 72:1119–1139, 2023) which has introduced a new triangular nonlinear shell finite element, denoted as T6-3iKL, designed to handle large displacements and rotations. This second part focuses on adapting the dynamic algorithm from Pimenta et al. (Comput Mech 42(5):715–732, 2008) and Campello et al. (Comput Mech 48(2):195–211, 2011) to deal with long-term dynamics. The element features 6 nodes, a quadratic displacement field, and a linear rotation field using Rodrigues incremental rotation parameters, which have been the biggest contribution from previous work, resulting in 21 degrees of freedom. The kinematic model from present element integrates principles from shear-rigid shell theory. The way the rotation field is parameterized in this kinematic model enables rotation continuity between adjacent elements through a single scalar at midside nodes, facilitating multiple branch connections in the mesh without introducing artificial parameters like penalties or Lagrange multipliers. The numerical implementation of the model is validated through comparisons with different references, demonstrating the consistency and reliability of the formulation. The proposed triangular shell element, characterized by its versatility, simplicity in kinematics, low number of DOFs, no need for artificial parameter calibration, geometric exactness, and compatibility with 3D material models, offers an effective solution for shell simulation in countless engineering applications. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Computational Mechanics 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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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00466-025-02617-1 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 20 StartPage: 337 Subjects: – SubjectFull: Finite element method Type: general – SubjectFull: Structural shells Type: general – SubjectFull: Continuous time models Type: general – SubjectFull: Rotational motion Type: general – SubjectFull: Deformations (Mechanics) Type: general Titles: – TitleFull: A simple geometrically exact finite element for thin shells: part 2—dynamics. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Pimenta, Paulo M. – PersonEntity: Name: NameFull: Sanchez, Matheus L. – PersonEntity: Name: NameFull: Ibrahimbegovic, Adnan IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: Jan2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 01787675 Numbering: – Type: volume Value: 77 – Type: issue Value: 1 Titles: – TitleFull: Computational Mechanics Type: main |
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