Geometrically nonlinear thermoelastic analysis of shells: modelling, incremental-iterative solution and reduction technique

Geometrically nonlinear thermoelastic analysis of shells: modelling, incremental-iterative solution and reduction technique

F. LIGUORI, D. MAGISANO, L. LEONETTI,A. MADEO G. GARCEA

Abstract. This work presents an accurate and efficient numerical tool for geometrically nonlinear thermoelastic analyses of thin-walled structures. The structure is discretized by an isogeometric solid-shell model avoiding the parameterization of finite rotations. An efficient modeling of thermal strains, temperature-dependent materials and general temperature profiles is proposed. Then, a generalized path-following method is developed for solving the discrete equations with the temperature amplifier as additional unknown. Finally, a reduction technique based on Koiter theory is derived for a quick estimate of the nonlinear thermal buckling.

Keywords
Shell Structures, Thermoelastic Analysis, Geometric Nonlinearity, Buckling, Newton Method, Isogeometric Analysis

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: F. LIGUORI, D. MAGISANO, L. LEONETTI,A. MADEO G. GARCEA, Geometrically nonlinear thermoelastic analysis of shells: modelling, incremental-iterative solution and reduction technique, Materials Research Proceedings, Vol. 26, pp 233-238, 2023

DOI: https://doi.org/10.21741/9781644902431-38

The article was published as article 38 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] M. Bhatia, E. Livne (2008), Design-oriented thermostructural analysis with internal and external radiation, part 1: Steady state, AIAA Journal 46 (3), 578–590. https://doi.org/10.2514/1.26236
[2] D. Magisano, L. Leonetti, G. Garcea (2017), How to improve efficiency and robustness of the Newton method in geometrically non-linear structural problem discretized via displacement-based finite elements, Computer Methods in Applied Mechanics and Engineering 313, 986-1005. https://doi.org/10.1016/j.cma.2016.10.023
[3] G. Garcea, F. S. Liguori, L. Leonetti, D. Magisano, A. Madeo, (2017), Accurate and efficient a posteriori account of geometrical imperfections in Koiter finite element analysis, International Journal for Numerical Methods in Engineering 112, 1154–1174. https://doi.org/10.1002/nme.5550
[4] L. Leonetti, F. Liguori, D. Magisano, G. Garcea (2018), An efficient isogeometric solid-shell formulation for geometrically nonlinear analysis of elastic shells, Computer Methods in Applied Mechanics and Engineering 331, 159-183. https://doi.org/10.1016/j.cma.2017.11.025
[5] L. Leonetti, D. Magisano, F. Liguori, G. Garcea (2018), An isogeometric formulation of the Koiter’s theory for buckling and initial post-buckling analysis of composite shells, Computer Methods in Applied Mechanics and Engineering 337, 387-410. https://doi.org/10.1016/j.cma.2018.03.037
[6] F. S. Liguori, D. Magisano, L. Leonetti, G. Garcea (2021), Nonlinear thermoelastic analysis of shell structures: solid-shell modelling and high-performing continuation method, Composite Structures 266, 113734. https://doi.org/10.1016/j.compstruct.2021.113734
[7] F. S. Liguori, D. Magisano, A. Madeo, L. Leonetti, G. Garcea (2022), A Koiter reduction technique for the nonlinear thermoelastic analysis of shell structures prone to buckling, International Journal for Numerical Methods in Engineering 123 (2), 547-576. https://doi.org/10.1002/nme.6868
[8] J. Lee, M. Bhatia (2019), Impact of corrugations on bifurcation and thermoelastic responses of hat-stiffened panels, Thin-Walled Structures 140, 209-221. https://doi.org/10.1016/j.tws.2019.03.027