COMPARATIVE BUCKLING ANALYSIS OF CONCRETE AND EXPANDED POLYSTYRENE DOME SHELLS

Habte Yohannes Damir, Marina Rynkovskaya, Issaias Anday Sereke

Abstract


Introduction: Various studies have been conducted to analyze the buckling behavior of concrete spherical shells. Nonetheless, no research is available that would investigate the buckling behavior of EPS (expanded polystyrene) shells. EPS has a very low self-weight compared to concrete. The purpose of the study is to investigate the comparative buckling characteristics of concrete and EPS shells. The respective self-weight and live load of 1.5 kN/m2 were considered. The methods used are Linear buckling analysis (LBA) and geometrically nonlinear buckling analysis (GNA) of sample domes with and without imperfections performed using Abaqus software. The results of the comparative analyses show that the critical buckling pressure of EPS and concrete spherical shells of the same geometry was found to be 122,634 N/m2 and 5560 N/m2, respectively. The ratio of the critical buckling pressure to the practical ultimate (dead load + live load) loading of concrete is 23.2, while for EPS, it is 2.22. Moreover, increasing the thickness of EPS from 100 to 200 mm increased the critical buckling pressure factor by 15.4 times. The maximum loading displacement of EPS (15.6 mm) was times less than the displacement caused by the buckling pressure. This finding demonstrates the feasibility of constructing EPS shells, with further research on the optimum geometry and construction mechanism.


Keywords


shells, buckling, dome, concrete, EPS

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References


Adriaenssens, S., Block, P., Veenendaal, D., and Williams, C. (2014). Shell structures for architecture: form finding and optimization. London and New York: Routledge Taylor & Francis Group, 323 p.

Bushnell, D. (1981). Buckling of shells—pitfall for designers. AIAA Journal, Vol. 19, No. 9, pp. 1183–1226. DOI: 10.2514/3.60058.

Eisenbach, P. (2017). Processing of slender concrete shells — fabrication and installation. [online] Available at: http://www.uni-kassel.de/upress/online/OpenAccess/978-3-7376-0258-7.OpenAccess.pdf [Date accessed April 18, 2021].

Ellobody, E., Feng, R., and Young, B. (2014). Chapter 4 - Linear and non-linear finite element analyses. In: Ellobody, E., Feng, R., and Young, B. (eds.). Finite Element Analysis and Design of Metal Structures. Waltham: Butterworth-Heinemann, pp. 56–71. DOI: 10.1016/B978-0-12-416561-8.00004-4.

Farshad, M. (1992). Design and analysis of shell structures. Dordrecht: Springer-Science+Business Media, 424 p. DOI: 10.1007/978-94-017-1227-9.

Gagg, C. R. (2014). Cement and concrete as an engineering material: An historic appraisal and case study analysis. Engineering Failure Analysis, Vol. 40, pp. 114–140. DOI: 10.1016/j.engfailanal.2014.02.004.

Huijben, F., van Herwijnen, F., and Nijsse, R. (2011). Concrete shell structures revisited: introducing a new and ‘low-tech’ construction method using vacuumatics formwork. [online] Available at: http://resolver.tudelft.nl/uuid:18354f6f-2187-467f-ad98-bc815caa285b [Date accessed January 10, 2023].

Hutchinson, J. W. and Thompson, J. M. T. (2017). Nonlinear buckling behaviour of spherical shells: barriers and symmetry-breaking dimples. Philosophical Transactions of the Royal Society A, Vol. 375, Issue 2093, 20160154. DOI: 10.1098/rsta.2016.0154.

Ibrahim, D., Bankole, O. C., Ma’aji, S. A., Ohize, E. J., and Abdul, B. K. (2013). Assessment of the strength properties of polystyrene material used in building construction in Mbora district of Abuja, Nigeria. International Journal of Engineering Research and Development, Vol. 6, Issue 12, pp. 80–84.

Imran, M., Shi, D., Tong, L., Waqas, H. M., Muhammad, R., Uddin, M., and Khan, A. (2020). Design optimization and non-linear buckling analysis of spherical composite submersible pressure hull. Materials, Vol. 13, Issue 11, 2439. DOI: 10.3390/ma13112439.

Jovanovic, M., Vucic, M., Mitov, D., Tepavčević, B., Stojakovic, V., and Bajsanski, I. (2017). Case specific robotic fabrication of foam shell structures. Fabrication - Robotics, Vol. 2, pp. 135–142.

Khalaj, O., Azizian, M., Tafreshi, S. N. M., and Mašek, B. (2017). Laboratory investigation of buried pipes using geogrid and EPS geofoam block. IOP Conference Series: Earth and Environmental Science, Vol. 95, Issue 2, 022002. DOI: 10.1088/1755-1315/95/2/022002.

Khalaj, O., Siabil, S. M. A. G., Tafreshi, S. N. M., Kepka, M., Kavalir, T., Křížek, M., and Jeníček, S. (2020). The experimental investigation of behaviour of expanded polystyrene (EPS). IOP Conference Series: Materials Science and Engineering, Vol. 723, 012014. DOI: 10.1088/1757-899X/723/1/012014.

LUSAS (2017). CSN/LUSAS/1014. Non-linear buckling analysis with initial imperfection. Customer support note. [online] Available at: https://www.lusas.com/user_area/documentation/1014_Nonlinear%20Buckling%20Analysis%20with%20Initial%20Imperfection.pdf [Date accessed January 10, 2023].

Mekjavić, I. (2011). Buckling analysis of concrete spherical shells. Tehnički vjesnik, Vol. 18, No. 4, pp. 633–639. DOI: 10.17265/1934-7359/2012.07.013.

Ni, X., Wu, Z., Zhang, W., Lu, K., Ding, Y., and Mao, S. (2020). Energy utilization of building insulation waste expanded polystyrene: pyrolysis kinetic estimation by a new comprehensive method. Polymers, Vol. 12, Issue 8, 1744. DOI: 10.3390/polym12081744.

Novoselac, S., Ergić, T., and Baličević, P. (2012). Linear and nonlinear buckling and post buckling analysis of a bar with the influence of imperfections. Tehnički vjesnik, Vol. 19, No. 3, pp. 695–701.

Ramli Sulong, N. H., Mustapa, S. A. S., and Abdul Rashid, M. K. (2019). Application of expanded polystyrene (EPS) in buildings and constructions: A review. Journal of Applied Polymer Science, Vol. 136, Issue 20, 47529. DOI: 10.1002/app.47529.

Saheed, S., Aziz, F. N. A. A., Amran, M., Vatin, N., Fediuk, R., Ozbakkaloglu, T., Murali, G., and Mosaberpanah, M. A. (2020). Structural performance of shear loaded precast EPS-foam concrete half-shaped slabs. Sustainability, Vol. 12, Issue 22, 9679. DOI: 10.3390/su12229679.

Semenov, A. A. (2016). Strength and stability of geometrically nonlinear orthotropic shell structures. Thin-Walled Structures, Vol. 106, pp. 428–436. DOI: 10.1016/j.tws.2016.05.018.

Ter Maten, R. N., Grunewald, S., and Walraven, J.C. (2013). UHPFRC in large span shell structures. In: Proceedings of the RILEM-fib-AFGC international symposium on ultra-high performance fibre-reinforced concrete, October 1–3, 2013, Marseille, France, pp. 327–334.

Tomas, A., Marti, P., and Tovar, J. P. (2009). Imperfection sensitivity in the buckling of single curvature concrete shells. In: Proceedings of the International Association for Shell and Spatial Structures (IASS) Symposium 2009, 28 September – 2 October, 2009, Valencia, Spain, pp. 1713–1721.

Vilau, C. and Dudescu, M. C. (2020). Investigation of mechanical behaviour of expanded polystyrene under compressive and bending loadings. Materiale Plastice, Vol. 57, Issue 2, pp. 199–207. DOI: 10.37358/MP.20.2.5366.

Wagner, H. N. R., Hühne, C., Zhang, J., and Tang, W. (2020). On the imperfection sensitivity and design of spherical domes under external pressure. International Journal of Pressure Vessels and Piping, Vol. 179, 104015. DOI: 10.1016/j.ijpvp.2019.104015.


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