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EnglishThis paper presents the formulation of advanced one-dimensional finite elements for the geometrically non-linear static analysis of beams. The kinematic field is axiomatically assumed along the thickness direction via a Unified Formulation. The approximation order of the displacement field along the thickness is a free parameter that leads to the formulation of a family of several beam elements. The tangent stiffness matrix of the element is obtained via the Principle of Virtual Displacements. A total Lagrangian approach is used. Newton-Raphson method is employed in order to solve the non-linear governing equations. Numerical investigations in terms of displacements and stresses are validated towards two-dimensional FEM solutions in order to show the correctness and the advantages of the proposed modelling approach.
Geometrically nonlinear hierarchical finite elements via a unified formulation / G. De Pietro, G. Giunta, S. Belouettar, A. Pagani, E. Carrera. - (2017). ((Intervento presentato al convegno 20th International Conference on Composite Structures (ICCS20) tenutosi a Paris, France nel 4-7 September 2017.
| Titolo: | Geometrically nonlinear hierarchical finite elements via a unified formulation | |
| Autori: | ||
| Data di pubblicazione: | 2017 | |
| Abstract: | This paper presents the formulation of advanced one-dimensional finite elements for the geometrically non-linear static analysis of beams. The kinematic field is axiomatically assumed along the thickness direction via a Unified Formulation. The approximation order of the displacement field along the thickness is a free parameter that leads to the formulation of a family of several beam elements. The tangent stiffness matrix of the element is obtained via the Principle of Virtual Displacements. A total Lagrangian approach is used. Newton-Raphson method is employed in order to solve the non-linear governing equations. Numerical investigations in terms of displacements and stresses are validated towards two-dimensional FEM solutions in order to show the correctness and the advantages of the proposed modelling approach. | |
| Appare nelle tipologie: | 4.2 Abstract in Atti di convegno |
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http://hdl.handle.net/11583/2686810
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