Geometrically Nonlinear Analysis of Beam Structures via Hierarchical One-Dimensional Finite Elements
Joint Authors
Pagani, Alfonso
Giunta, G.
Belouettar, S.
Hui, Y.
De Pietro, G.
Hu, H.
Carrera, E.
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-27
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
The formulation of a family of advanced one-dimensional finite elements for the geometrically nonlinear static analysis of beam-like structures is presented in this paper.
The kinematic field is axiomatically assumed along the thickness direction via a Unified Formulation (UF).
The approximation order of the displacement field along the thickness is a free parameter that leads to several higher-order beam elements accounting for shear deformation and local cross-sectional warping.
The number of nodes per element is also a free parameter.
The tangent stiffness matrix of the elements is obtained via the Principle of Virtual Displacements.
A total Lagrangian approach is used and Newton-Raphson method is employed in order to solve the nonlinear governing equations.
Locking phenomena are tackled by means of a Mixed Interpolation of Tensorial Components (MITC), which can also significantly enhance the convergence performance of the proposed elements.
Numerical investigations for large displacements, large rotations, and small strains analysis of beam-like structures for different boundary conditions and slenderness ratios are carried out, showing that UF-based higher-order beam theories can lead to a more efficient prediction of the displacement and stress fields, when compared to two-dimensional finite element solutions.
American Psychological Association (APA)
Hui, Y.& De Pietro, G.& Giunta, G.& Belouettar, S.& Hu, H.& Carrera, E.…[et al.]. 2018. Geometrically Nonlinear Analysis of Beam Structures via Hierarchical One-Dimensional Finite Elements. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-22.
https://search.emarefa.net/detail/BIM-1207707
Modern Language Association (MLA)
Hui, Y.…[et al.]. Geometrically Nonlinear Analysis of Beam Structures via Hierarchical One-Dimensional Finite Elements. Mathematical Problems in Engineering No. 2018 (2018), pp.1-22.
https://search.emarefa.net/detail/BIM-1207707
American Medical Association (AMA)
Hui, Y.& De Pietro, G.& Giunta, G.& Belouettar, S.& Hu, H.& Carrera, E.…[et al.]. Geometrically Nonlinear Analysis of Beam Structures via Hierarchical One-Dimensional Finite Elements. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-22.
https://search.emarefa.net/detail/BIM-1207707
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207707