An efficient plasticity-based model for reinforced concrete flat shells by a 4-nodes mixed finite element
Francesco S. LIGUORI, Antonella CORRADO, Antonio BILOTTA, Antonio MADEO
download PDFAbstract. A 4-nodes flat shell Finite Element (FE) is formulated on the basis of an assumed interpolation of the stress and displacement fields in order to perform the elastoplastic analysis of reinforced concrete structures. The nonlinear material behaviour of the concrete is described through a confinement-sensitive plasticity constitutive model not requiring the often difficult calibration of several parameters but it is expressed in terms of only the uniaxial compressive strength of the concrete. The presence of steel reinforcement bars is accounted by defining additional material layers with a uniaxial von Mises elastoplastic behaviour. These different material responses are assembled through the shell thickness by numerical integration. Computational efficiency and accuracy are assessed by comparing the proposed shell strategy and other shell FE models by performing the step-by-step nonlinear analyses on a numerical test.
Keywords
Mixed Shell Elements, Plasticity, Concrete-Like Materials
Published online 3/17/2022, 6 pages
Copyright © 2023 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA
Citation: Francesco S. LIGUORI, Antonella CORRADO, Antonio BILOTTA, Antonio MADEO, An efficient plasticity-based model for reinforced concrete flat shells by a 4-nodes mixed finite element, Materials Research Proceedings, Vol. 26, pp 245-250, 2023
DOI: https://doi.org/10.21741/9781644902431-40
The article was published as article 40 of the book Theoretical and Applied Mechanics
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] Jirasek, M., Bazant, Z. P., 2002. Inelastic analysis of structures. John Wiley & Sons.
[2] Simo, J. C., Hughes, T. J. R., 1998. Computational inelasticity. Springer-Verlag.
[3] Bilotta A., Casciaro R., 2002. Assumed stress formulation of high order quadrilateral elements with an improved in-plane bending behaviour. Comput. Methods Appl. Mech. Engrg. 191/15-16, 4365–4378. https://doi.org/10.1016/S0045-7825(01)00334-6
[4] Liguori, F. S., Madeo, A., 2021. A corotational mixed flat shell finite element for the efficient geometrically nonlinear analysis of laminated composite structures. Int J Numer Methods Eng 122 (17), 4575–4608. https://doi.org/10.1002/nme.6714
[5] Bilotta A., Casciaro R., 2007. A high performance element for the analysis of 2D elastoplastic continua. Comput. Methods Appl. Mech. Engrg. 196, 818–828. https://doi.org/10.1016/j.cma.2006.06.009
[6] Bilotta A., Garcea G., Leonetti L., 2016. A composite mixed finite element model for the elastoplastic analysis of 3D structural problems, Finite Elem. Anal. Des. 113, 43–53. https://doi.org/10.1016/j.finel.2016.01.002
[7] Hofstetter G., Mang H. A., 1996. Computational plasticity of reinforced and prestressed concrete structures, Computational Mechanics 17, 243–254. https://doi.org/10.1007/BF00364827
[8] Haussler-Combe, U., 2014. Computational Methods for Reinforced Concrete Structures. John Wiley & Sons. https://doi.org/10.1002/9783433603611
[9] Madeo, A., Liguori, F. S., Zucco, G., Fiore, S., 2021. An efficient isostatic mixed shell element for coarse mesh solution. Int J Numer Methods Eng 122 (1), 82–121. https://doi.org/10.1002/nme.6526
[10] Papanikolaou, V. K., Kappos, A. J., 2007. Confinement-sensitive plasticity constitutive model for concrete in triaxial compression. Int. J. Solids Struct. 44, 7021–7048. https://doi.org/10.1016/j.ijsolstr.2007.03.022
