Maintaining Multistability in Cured Shapes of Series-Connected Unsymmetrical Laminates with Clamped Edges

Maintaining Multistability in Cured Shapes of Series-Connected Unsymmetrical Laminates with Clamped Edges

P. R. MANU, B. N. RAO, P. M. ANILKUMAR

Abstract. Adaptive structures are designed to undergo controlled shape changes in response to varying functional requirements, making them highly versatile for advanced engineering applications such as aerospace and space structures. Within this domain, unsymmetrical laminates have gained considerable attention due to bistability arising from residual thermal stresses generated during the curing process. However, the practical applications of the cured shapes of unsymmetrical laminates are often restricted due to the possibility of only two room-temperature equilibrium states. By connecting multiple bistable laminates in series, it becomes possible to realize surfaces with a high degree of multistability. The degree of multistability of such connected laminates is strongly influenced by boundary conditions, which play a critical role in shaping the stability landscape. While most theoretical models in the literature assume simplified center-fixed boundary conditions, such idealized constraints are rarely representative of real-world applications. This study aims to bridge this gap by investigating the influence of boundary constraints on the multistability of series-connected composite laminates. Specifically, a one-end-fixed boundary configuration is analyzed, in which one end of the laminate is clamped. The study shows that the clamped edge imposes significant mechanical constraints that limit bending parallel to the clamped edge. A solution to retain multistability could be the use of a transition region, ensuring that a laminate can recover its original multistable state even when one edge is clamped. Such a transition region helps preserve the multistability of the connected laminate. The results offer new insights into how fixed boundary conditions affect the design space, thereby deepening the understanding of multistable laminates and advancing their application potential in morphing systems.

Keywords
Finite Elements, Boundary Conditions, Morphing, Multistability

Published online 7/20/2026, 5 pages
Copyright © 2026 by the author(s)
Published under license by Materials Research Forum LLC., Millersville PA, USA

Citation: P. R. MANU, B. N. RAO, P. M. ANILKUMAR, Maintaining Multistability in Cured Shapes of Series-Connected Unsymmetrical Laminates with Clamped Edges, Materials Research Proceedings, Vol. 69, pp 1331-1335, 2026

DOI: https://doi.org/10.21741/9781644904251-231

The article was published as article 231 of the book CEAS – AIDAA Conference 2025

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] Hyer, Some observations on the cured shape of thin unsymmetric laminates, Journal of Composite Materials 15 (2) (1981) 175–194. https://doi.org/10.1177/002199838101500207
[2] Hyer, The room-temperature shapes of four-layer unsymmetric cross-ply laminates, Journal of Composite Materials 16 (4) (1982) 318–340. https://doi.org/10.1177/002199838201600406
[3] Y. Cui, M. J. Santer, Adaptive multistable flexible composite surfaces, in: Spacecraft Structures Conference, 2014, p. 0671. https://doi.org/10.2514/6.2014-0671
[4] D. Bashir, P. M. Anilkumar, S. Scheffler, A. Haldar, B. N. Rao, R. Rolfes, A review of the dynamic behavior of thermally induced bistable configurations of unsymmetrical composite laminates and their applications, Archives of Computational Methods in Engineering (102024). https://doi.org/10.1007/s11831-024-10192-6
[5] F. Mattioni, P. Weaver, M. Friswell, Multistable composite plates with piecewise variation of lay-up in the planform, International Journal of Solids and Structures 46 (2009)151–164. https://doi.org/10.1016/j.ijsolstr.2008.08.023
[6] F. Dai, H. Li, S. Du, Design and analysis of a tri-stable structure based on bi-stable laminates, Composites Part A: Applied Science and Manufacturing 43 (9) (2012) 1497–1504. https://doi.org/10.1016/j.compositesa.2012.03.018
[7] A. Kumar, P. M. Anilkumar, A. Haldar, S. Scheffler, O. Dorn, B. N. Rao, R. Rolfes, Investigations on the multistability of series-connected unsymmetric laminates, Composites Science and Technology (2022) 109635. https://doi.org/10.1016/j.compscitech.2022.109635
[8] A. Mukherjee, M. I. Friswell, S. F. Ali, A. Arockiarajan, Modeling and design of class of hybrid bistable symmetric laminates with cantilever boundary configuration, Composite Structures 239 (2020) 112019. https://doi.org/10.1016/j.compstruct.2020.112019
[9] M. Brunetti, S. Vidoli, A. Vincenti, Bistability of orthotropic shells with clamped boundary conditions: An analysis by the polar method, Composite Structures 194 (2018)388–397. https://doi.org/10.1016/j.compstruct.2018.04.009
[10] Z. Zhang, Y. Li, X. Yu, X. Li, H. Wu, H. Wu, S. Jiang, G. Chai, Bistable morphing composite structures: a review, Thin-walled structures 142 (2019) 74–97. https://doi.org/ 10.1016/j.tws.2019.04.040
[11] Boddapati, J. C. Osorio, A. F. Arrieta, On the loss of stability of bistable laminates due to clamping, in: AIAA SCITECH 2024 Forum, 2024, p. 1333. https://doi.org/10.2514/6.2024-1333