Formulation of Shell Elements Based on the Motion Formalism Article Swipe
Olivier A. Bauchau
,
Valentin Sonneville
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.3390/applmech2040059
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.3390/applmech2040059
This paper presents a finite element implementation of plates and shells for the analysis of flexible multibody systems. The developments are set within the framework of the motion formalism that (1) uses configuration and motion to describe the kinematics of flexible multibody systems, (2) couples their displacement and rotation components by recognizing that configuration and motion are members of the Special Euclidean group, and (3) resolves all tensors components in local frames. The formulation based on the motion formalism (1) provides a theoretical framework that streamlines the formulation of shell elements, (2) leads to governing equations of motion that are objective, intrinsic, and present a reduced order of nonlinearity, (3) improves the efficiency of the solution process, (4) circumvents the shear locking phenomenon that plagues shell formulations based on classical kinematic descriptions, and (5) prevents the occurrence of singularities in the treatment of finite rotation. Numerical examples are presented to illustrate the advantageous features of the proposed formulation.
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.3390/applmech2040059
- https://www.mdpi.com/2673-3161/2/4/59/pdf?version=1639130493
- OA Status
- gold
- Cited By
- 4
- References
- 35
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4200623847
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https://openalex.org/W4200623847Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.3390/applmech2040059Digital Object Identifier
- Title
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Formulation of Shell Elements Based on the Motion FormalismWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2021Year of publication
- Publication date
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2021-12-10Full publication date if available
- Authors
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Olivier A. Bauchau, Valentin SonnevilleList of authors in order
- Landing page
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https://doi.org/10.3390/applmech2040059Publisher landing page
- PDF URL
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https://www.mdpi.com/2673-3161/2/4/59/pdf?version=1639130493Direct link to full text PDF
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goldOpen access status per OpenAlex
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https://www.mdpi.com/2673-3161/2/4/59/pdf?version=1639130493Direct OA link when available
- Concepts
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Kinematics, Gravitational singularity, Formalism (music), Classical mechanics, Equations of motion, Finite element method, Nonlinear system, Multibody system, Physics, Mathematics, Geometry, Mathematical analysis, Visual arts, Art, Musical, Quantum mechanics, ThermodynamicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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4Total citation count in OpenAlex
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2025: 1, 2024: 1, 2023: 1, 2021: 1Per-year citation counts (last 5 years)
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35Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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