Nonlinear transient analyses of composite and sandwich structures via high-fidelity beam models
Matteo Filippi, Rodolfo Azzara, Erasmo Carrera
download PDFAbstract. In this study, we employ low and high-fidelity finite beam elements to conduct geometrical nonlinear transient analyses of composite and sandwich structures. The equations of motion for various structural theories are derived in a total Lagrangian scenario using the Carrera Unified Formulation. The unified formalism’s three-dimensional nature enables us to include all components of the Green-Lagrange strain tensor. To solve the equations, we utilize the Hilber-Hughes-Taylor (HHT)-α algorithm in conjunction with a Newton-Raphson procedure. We present the dynamic response of a sandwich stubby beam subjected to a step load, calculated using both equivalent-single layer and layer-wise approaches. Additionally, we discuss the effects of geometrical nonlinearity.
Keywords
Finite Element Method, Transient Nonlinear Analyses, One-Dimensional Formulations, Carrera Unified Formulation
Published online 11/1/2023, 4 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: Matteo Filippi, Rodolfo Azzara, Erasmo Carrera, Nonlinear transient analyses of composite and sandwich structures via high-fidelity beam models, Materials Research Proceedings, Vol. 37, pp 239-242, 2023
DOI: https://doi.org/10.21741/9781644902813-52
The article was published as article 52 of the book Aeronautics and Astronautics
Content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
References
[1] T. Kant, C.P. Arora, J.H. Varaiya, Finite element transient analysis of composite and sandwich plates based on a refined theory and a mode superposition method, Composite Structures. 22 (1992) 109-120. https://doi.org/10.1016/0263-8223(92)90071-J
[2] J.R. Kommineni, T. kant, Large Deflection Elastic and Inelastic Transient Analyses of Composite and Sandwich Plates with a Refined Theory, Journal of Reinforced Plastics and Composites. 12 (1993) 1150-1170. https://doi.org/10.1177/073168449301201102
[3] R. Azzara, M. Filippi, A. Pagani, Variable-kinematic finite beam elements for geometrically nonlinear dynamic analyses, Mech. Adv. Mater. Struct. (2022). https://doi.org/10.1080/15376494.2022.2091185
[4] A. Pagani, E. Carrera, Unified formulation of geometrically nonlinear refined beam theories, Mech. Adv. Mater. Struct. 25 (2018) 15-31. https://doi.org/10.1080/15376494.2016.1232458