Approach on Centroid Angle–Based Reverse Motion for Hexahedral Mesh of Vector Form Intrinsic Finite Element
Publication: Journal of Engineering Mechanics
Volume 149, Issue 1
Abstract
The virtual reverse motion is a vital procedure of the vector form intrinsic finite-element (VFIFE) method to derive pure nodal deformation. Because the development of VFIFE, especially for hexahedral elements, is still in its infancy, there are no standard criteria for calculation of the pure deformation and the way to implement such calculation could be subjective at present. This study proposes an alternative approach on the reverse motion calculation for the hexahedral mesh based on the centroid-angle transformation. Relying on the fundamental principles of VFIFE, four numerical examples regarding typical cantilever beam structures are provided to illustrate and verify the accuracy and robustness of the presented approach. Compared with the corresponding results from the theoretical solution or finite-element method simulation, satisfactory results were achieved in applied cases relating to various loads, large deformation with rigid body motion, and static and dynamic problems.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request. The model physical parameters of all benchmark tests have been already presented in this article. The raw data used to generate figures in the study are available.
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Information
Published In
Journal of Engineering Mechanics
Volume 149 • Issue 1 • January 2023
Copyright
© 2022 American Society of Civil Engineers.
History
Received: May 14, 2022
Accepted: Sep 10, 2022
Published online: Nov 8, 2022
Published in print: Jan 1, 2023
Discussion open until: Apr 8, 2023
ASCE Technical Topics:
- Beams
- Cantilevers
- Continuum mechanics
- Deformation (mechanics)
- Dynamics (solid mechanics)
- Engineering fundamentals
- Engineering mechanics
- Finite element method
- Mathematics
- Methodology (by type)
- Motion (dynamics)
- Numerical methods
- Rigid body dynamics
- Solid mechanics
- Structural engineering
- Structural mechanics
- Structural members
- Structural systems
- Vector analysis
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