Theoretical framework for DOUBLE-DOUBLE composite plates under bending loads
DOI:
https://doi.org/10.4025/actascitechnol.v48i1.74255Palavras-chave:
Double-double; QUAD; Kirchhoff’s laminate theory; numerical simulations.Resumo
This paper provides an insightful comparative analysis of laminated composite plates, focusing on two main stacking sequence groups: the traditional QUAD and the more recent DOUBLE-DOUBLE (DD) proposed by Professor Stephen Tsai. The investigation thoroughly explores the extensional, coupling, and bending stiffness matrices of each group, analyzing their implications for the bending behavior of laminated composite plates according to Kirchhoff's Laminate Theory under cylindrical bending conditions. The study highlights that, under this theory, increasing the repetitions of the 4-layer sub-laminates [±?/±?] leads to a much greater increase in bending than in coupling stiffness, and simultaneously promotes a decrease in extension-bending (A16, A26) and bending-torsion (D16, D26) components. The finite element simulations indicate that, as the number of repetitions increases from two to eight, the reduction in out-of-plane displacement exceeds that of the corresponding QUAD configuration, making the DD configuration a promising option. Moreover, the choice of angles significantly influences the overall bending behavior, particularly affecting three key components of the bending stiffness matrix: D11, D16, and D26. Among the configurations examined, the [± 0/± 50]8 configuration emerges as the optimal DD configuration for bending applications. This specific angle combination for the [± 0/± 50] sub-laminate yields high values of D11 and near-zero values for D16 and D26, enhancing bending stiffness while minimizing coupling twist-bending. In conclusion, the findings suggest that DD configurations offer a valuable option for applications involving thick composite bending.
Downloads
Referências
Ávila, A. F., & Morais, D. T. S. (2009). Modeling nanoclay effects into laminates failure strength and porosity. Composite Structures, 87(1), 55–62. https://doi.org/10.1016/j.compstruct.2007.12.009
Ávila, A. F., & Tamma, K. K. (1998). Analysis of laminate metal matrix composites. Journal of Thermal Stresses, 21(8), 897–917. https://doi.org/10.1080/01495739808956183
Carley, G., Geraldo, V., De Oliveira, S., & Ávila, A. F. (2013). Nano-engineered composites: Interlayer carbon nanotubes effect. Materials Research, 16(3), 628–634. https://doi.org/10.1590/S1516-14392013005000034
Falkowicz, K. (2021). Composite plate analysis made in an unsymmetric configuration. Journal of Physics: Conference Series, 2130, Artigo 012014. https://doi.org/10.1088/1742-6596/2130/1/012014
Hart-Smith, L. J. (2004). Expanding the capabilities of the Ten-Percent Rule for predicting the strength of fibre-polymer composites. In S. W. Tsai (Ed.), Failure criteria in fibre-reinforced-polymer composites (pp. 597–642). Elsevier. https://doi.org/10.1016/B978-008044475-8/50021-4
Johri, N., Agarwal, G., Mishra, R. K., & Thakur, H. C. (2022). FEM analysis of polymeric hybrid composites. Materials Today: Proceedings, 57, 383–390. https://doi.org/10.1016/j.matpr.2021.12.248
Kollar, L. P., & Springer, G. S. (2003). Mechanics of composite structures. Cambridge University Press.
Maji, A., & Mahato, P. K. (2022). Development and applications of shear deformation theories for laminated composite plates: An overview. Journal of Thermoplastic Composite Materials, 35(11), 2576–2619. https://doi.org/10.1177/0892705720930765
Mantzaroudis, V. K., & Stamatelos, D. G. (2020). An approximate closed-form buckling solution for the local skin buckling of stiffened plates with omega stringers: The case of antisymmetric cross-ply and angle-ply laminations. Structures, 28, 1196–1209. https://doi.org/10.1016/j.istruc.2020.09.035
Melo, J. D. D., Bi, J., & Tsai, S. W. (2017). A novel invariant-based design approach to carbon fiber reinforced laminates. Composite Structures, 159, 44–52. https://doi.org/10.1016/j.compstruct.2016.09.055
Nimbolkar, P. V., & Jain, I. M. (2015). Cylindrical bending of elastic plates. Procedia Materials Science, 10, 793–802. https://doi.org/10.1016/j.mspro.2015.08.001
O’Donnell, M. P., & Weaver, P. M. (2020). Reconsidering laminate nonsymmetry. AIAA Journal, 58(4), 1811–1820. https://doi.org/10.2514/1.J058751
Paixão, N. M. M., & Ávila, A. F. (2023). Finite element simulations of auxetic structure combined with honeycomb using unidirectional continuous carbon fiber composite properties. Journal of Engineering and Exact Sciences, 9(1), 15430–01e. https://doi.org/10.18540/jcecvl9iss1pp15430-01e
Patton, A., Antolín, P., Dufour, J. E., Sangalli, G., & Vázquez, R. (2021). Accurate equilibrium-based interlaminar stress recovery for isogeometric laminated composite Kirchhoff plates. Composite Structures, 256, Artigo 112976. https://doi.org/10.1016/j.compstruct.2020.112976
Sheikhi, M., Rafiei Anamagh, M., Bediz, B., & Tunc, L. T. (2024). Design of manufacturable variable stiffness composite laminates using spectral Chebyshev and normalized cut segmentation methods. Composite Structures, 330, Artigo 117836. https://doi.org/10.1016/j.compstruct.2023.117836
Shrivastava, S., Sharma, N., Tsai, S. W., & Mohite, P. M. (2020). D and DD-drop layup optimization of aircraft wing panels under multi-load case design environment. Composite Structures, 248, Artigo 112518. https://doi.org/10.1016/j.compstruct.2020.112518
Singh, A., & Kumari, P. (2020). Analytical free vibration solution for angle-ply piezolaminated plate under cylindrical bending: A piezo-elasticity approach. Advances in Computational Design, 5(1), 55–89. https://doi.org/10.12989/acd.2020.5.1.055
Tsai, S. W. (2021). Double–double: New family of composite laminates. AIAA Journal, 59(10), 4293–4305. https://doi.org/10.2514/1.J060659
Venkatesan, K., Ramanathan, K., Vijayanandh, R., Raj Kumar, G., Jung, S., & Senthil Kumar, M. (2019). Comparative structural analysis of advanced multi-layer composite materials. Materials Today: Proceedings, 27, 2673–2687. https://doi.org/10.1016/j.matpr.2019.11.247
Vermes, B., Tsai, S. W., Massard, T., Kim, H. J., & Scalici, T. (2021a). Design of laminates by a novel ‘double–double’ layup. Thin-Walled Structures, 165, Artigo 107954. https://doi.org/10.1016/j.tws.2021.107954
Vermes, B., Tsai, S. W., Riccio, A., & Scalici, T. (2021b). Application of the Tsai’s modulus and double-double concepts to the definition of a new affordable design approach for composite laminates. Composite Structures, 259, Artigo 113246. https://doi.org/10.1016/j.compstruct.2020.113246
Vescovini, A., Li, C. X., Paz Mendez, J., & D’Ottavio, M. (2024). Post-buckling behavior and collapse of Double-Double composite single stringer specimens. Composite Structures, 327, Artigo 117699. https://doi.org/10.1016/j.compstruct.2023.117699
Wang, Y., Wang, D., Zhong, Y., & Zhang, W. (2023). Topology optimization of Double-Double (DD) composite laminates considering stress control. Computer Methods in Applied Mechanics and Engineering, 414, Artigo 116191. https://doi.org/10.1016/j.cma.2023.116191
Whitney, J. M. (1987). Structural analysis of laminated anisotropic plates. Technomic Publishing Company.
Yu, W. (2024). A review of modeling of composite structures. Materials, 17(2), 446. https://doi.org/10.3390/ma17020446
Zhang, Z., Zhang, Z., Di Caprio, F., & Gu, G. X. (2022). Machine learning for accelerating the design process of double-double composite structures. Composite Structures, 285, Artigo 115233. https://doi.org/10.1016/j.compstruct.2022.115233
Zhao, K., Kennedy, D., Miravete, A., & Scalici, T. (2023). Defining the design space for Double–Double laminates by considering homogenization criterion. AIAA Journal, 61(7), 3190–3203. https://doi.org/10.2514/1.j062639
Downloads
Publicado
Edição
Seção
Licença
Copyright (c) 2025 Tiago Teixeira Silva Silva, Nathalia Mello Mascarenhas Paixão, Helio de Assis Pegado, Antonio Ferreira Ávila (Autor)
Este trabalho está licenciado sob uma licença Creative Commons Attribution 4.0 International License.
DECLARAÇíO DE ORIGINALIDADE E DIREITOS AUTORAIS
Declaro que o presente artigo é original, não tendo sido submetido í publicação em qualquer outro periódico nacional ou internacional, quer seja em parte ou em sua totalidade.
Os direitos autorais pertencem exclusivamente aos autores. Os direitos de licenciamento utilizados pelo periódico é a licença Creative Commons Attribution 4.0 (CC BY 4.0): são permitidos o compartilhamento (cópia e distribuição do material em qualqer meio ou formato) e adaptação (remix, transformação e criação de material a partir do conteúdo assim licenciado para quaisquer fins, inclusive comerciais.
Recomenda-se a leitura desse link para maiores informações sobre o tema: fornecimento de créditos e referências de forma correta, entre outros detalhes cruciais para uso adequado do material licenciado.
