Abstract
Bistable fully closed shells can serve as long supporting structures that can be folded into a compact transport geometry and unfolded at the construction place. Bistability is achieved by introducing a specific distribution of residual stresses through the thickness of the shell, e.g., by incremental die-bending. In order to find a suitable bending radii combination a semi-analytical model was developed and experimentally validated for the steel 1.1274 in previous research. Nevertheless, minor deviations have occurred in the prediction of final curvatures of the different stable geometries and it is still unclear to what extent other influencing variables such as shell thickness or material properties influence the achievability of fully closed bistable shells. Therefore, in this paper, an enhancement and generalization of the existing semi-analytical model for different steels is described and the extended model is used for a comprehensive analysis of the influence of different variables on bistability and final shell geometries.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Pellegrino S (2001) Deployable structures. Springer, Wien, Austria
Kebadze, E, Guest, S, Pellegrino, S (2004) Bistable prestressed shell structures. Int J Solids Struct https://doi.org/10.1016/j.ijsolstr.2004.01.028
Pavliuchenko, P, Teller, M, Grüber, M, Bremen, T, Hirt, G (2019) Production of bistable fully closed metallic shells by introducing residual stresses during bending processes. Prod Eng Res Devel https://doi.org/10.1007/s11740-019-00875-6
Galletly D, Guest S (2004) Bistable composite slit tubes. I A beam model Int J Solids Struct https://doi.org/10.1016/j.ijsolstr.2004.02.036
Galletly D, Guest S (2004) Bistable composite slit tubes. II. A shell model Int J Solids Struct https://doi.org/10.1016/j.ijsolstr.2004.02.037
He X (2011) Bi-stable character of laminated cylindrical shells. Proc Eng https://doi.org/10.1016/j.proeng.2011.07.077
Pavliuchenko P, Teller M, Grüber M, Hirt G (2019) A semianalytical model for the determination of bistability and curvature of metallic cylindrical shells. J Manuf Mater Process https://doi.org/10.3390/jmmp3010022
Crisfield M (1997) Non-linear finite element analysis of solids and structures, Volume 2: Advanced Topics; Wiley: Hoboken, NJ, USA
Patel S, Lal R, Dwivedi J, Singh V (2013) Springback analysis in shell metal forming using modified Ludwik stress-strain relation. ISRN Mech Eng 2013:1–11
Acknowledgments
The authors thank the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) for funding within the priority program SPP 2013 “The utilization of residual stresses induced by metal forming” (project HI 790/57-1, № 374688658). Moreover, the authors like to thank Mrs. Shaoni Li for her support.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Minerals, Metals & Materials Society
About this paper
Cite this paper
Pavliuchenko, P., Teller, M., Hirt, G. (2021). Analysis of Influencing Factors on the Achievability of Bistable Fully Closed Shells by Semi-Analytical Modeling. In: Daehn, G., Cao, J., Kinsey, B., Tekkaya, E., Vivek, A., Yoshida, Y. (eds) Forming the Future. The Minerals, Metals & Materials Series. Springer, Cham. https://doi.org/10.1007/978-3-030-75381-8_194
Download citation
DOI: https://doi.org/10.1007/978-3-030-75381-8_194
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-75380-1
Online ISBN: 978-3-030-75381-8
eBook Packages: Chemistry and Materials ScienceChemistry and Material Science (R0)