Analytical and Numerical Modeling of Impact Loading Cantilever Sandwich Beam with Aluminum Foam Core and Steel Facesheets

Document Type : Mechanics article

Author

PhD Student, Department of Mechanical Engineering, Bu Ali Sina University, Hammadan, Iran

Abstract

Due to having advantages such as high strength, lightness, and crack-resistant properties, sandwich structures are widely used in aircraft, missile, marine, and medical industries. For this purpose, in this research, the analytical and numerical investigation of low velocity impact on cantilever sandwich beams with foam core and metal facesheets has been done. In the analytical part, using the GALERKIN method, the equations governing the rise were calculated and the speed and acceleration equations of the sandwich beam were extracted. ABAQUS software has also been used to simulate this process. Finally, the effects of parameters such as impact load application location, core density and strength, projectile mass and velocity, and dimensions have been analyzed and compared analytically and numerically on the deflection of the sandwich beam. By examining and comparing the obtained results, it was observed that, firstly, there is a good agreement between the analytical and numerical results, and secondly, with the movement of the place of application of the load from the free support to the cantilever support of the beam, the final shape of the upper part of the sandwich changes. The beam is reduced by 9.6% and by increasing the rate of projectile mass from 0.01 to 0.04 and reducing the projectile width from 0.05 to 0.01, the final rise of the upper surface increases by 71% and 44%, respectively.
 

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Main Subjects

References

[1] K. Marguerre. "The optimum buckling load of a flexibly supported plate composed of two sheets joined by a light weight filler under longitudinal compression." Deutsche Viertaljahrsschrift fur und Giests Geschichte, (1944): DVL (ZWB UM1360/2).
[2] J.R. Vinson. "Sandwich structures." Applied Mechanics Reviews, no. 58 (2001): 201-214.
[3] S. Abrate. "Impact on laminated composite materials." Applied Mechanics Reviews, no. 44 (1991): 155-190.
[4] T. Anderson and E. Madenci. "Experimental investigation of low- velocity impact characteristics of sandwich composites." Composite Structure, no. 50 (2000): 239-247.
[5] Y. Mu, G. Yao, and H. Luo. "Effect of cell shape anisotropy on the compressive behavior of closed-cell aluminum foams." Materials & Design 31, no. 3 (2010): 1567-1569.
[6] K. Mohan, T.H. Yip, S. Idapalapati, and Z. Chen. "Impact response of aluminum foam core sandwich structures." Materials Science and Engineering: A 529 (2011): 94-101.
[7] U. I. Invanza, I. Sridhar and S. Rajendra. "Impact modeling of foam cored sandwich plates with ductile or brittle faceplates. " Composite Structures, no. 94 (2013): 94-231.
[8] E. U. Ashiysh, H.H. Luo, W.G. Long and X. Han. "Dynamic response of clamped sandwich beam with aluminum alloy foam core subjected to impact loading. " Composite Structures, no. 46 (2014): 94-231.
[9] S. Feli and M. Ranjbaran. "Vertical impact analysis in sandwich structures with consideration of different energy absorption mechanisms. "Modern Defense Science and Technology, no. 23 (2017): 33-43.
[10] X. B. Harprite, Z.K. Cao, G.C. Yao, H.J. Luo and G.Y. Zu. "Performance of aluminum foam–steel panel sandwich composites subjected to blast loading. " Materials and Design, no. 47 (2013): 483-488.
[11] S. D. Sbolarty, S.R. Nutt and X. Wenchen. "Compression and low-velocity impact behavior of aluminum syntactic foam. " Materials Science & Engineering A, no. 578 (2013): 222-229.
[12] A.G. Hanssen, Y. Girard, L. Olausson, T. Bested, M. Lang Seth, "A Numerical Model for Bird Strike of Aluminum Foam-based Sandwich Panels. " International Journal of Impact Engineering, no. 7 (2006): 1127-1144.
[13] H. Zhao, I. Elnasri and Y. Girad. "Perforation of Aluminium Foam Core Sandwich Panels under Impact Loading an Experimental Study. "International Journal of Impact Engineering, no. 7 (2007): 1246-1257.
[14] A. Mosavizadeh, H. Hosseini and M. Kamalvand. "Investigating the Effect of Transverse Reinforcements on Flat and Curved Steel Sheets under Free Fall Impact. "Scientific Journal of Aerospace Mechanics, no. 4 (2019): 39-59.
[15] H. Hatami and B. Fatollahi. "Theoretical and Numerical Investigation and Comparison of the Effect of Inertia on the Collapse Behavior of Single Cell and Two Cell Mesh Absorbers under Shock Loading."Amir Kabir Mechanical Engineering Journal, no. 5 (2016): 999-1014.
[16] H. Hatami. " Experimental and Analytical Investigation of Bending and Impact Properties of Steel and Concrete Composite Beams with High Performance. "Scientific and Research Journal of Mechanics of Structures and Fluids, no. 6 (2023): 99-111.
[17] M. Arefi and F. Najafitabar. "Buckling and free vibration analyses of a sandwich beam made of a soft core with FG-GNPs reinforced composite face-sheets using Ritz Method. " Thin-Walled Structures, no. 158 (2021): 107-200.
[18] M. Arefi and A. Zenkour. "Influence of microlength-scale parameters and inhomogeneities on the bending, free vibration and wave propagation analyses of a FG Timoshenko’s sandwich piezoelectric microbeam. " Journal of Sandwich Structures and Material, no. 1 (2017): 1-28.
[19] M.T. Tilbrook, V.S. Deshpande and N.A. Fleck. "The impulsive response of sandwich beams: Analytical and numerical investigation of regimes of behavior. " Journal of the Mechanics and Physics of Solids, no. 58 (2006): 2242-2280.
[20] R.M. Mcmeeking, A.V. Spuskanyuk, M.Y. He, V.S. Deshpande, N.A. Fleck and A.G. Evans. "An analytic model for the response to water blast of unsupported metallic sandwich panels. " International Journal of Solids Structures, no. 45 (2008): 478-496.
[21] M.T. Tilbrook, V.S. Deshpande and N.A. Fleck. "The impulsive response of sandwich beams: Analytical and numerical investigation of regimes of behavior. " Journal of the Mechanics and Physics of Solids, no. 54 (2006): 2242-2280.
[22] T.X. Yu and W.J. Stronge. "Large deflections of a rigid-plastic beam-on-foundation from impact. " International Journal of Impact Engineering, no. 9 (1990): 115-126.
[23] T.G. Zhang, W.J. Stronge and Yu TX. "Dynamic deformation of rigid-plastic beams for general impulsive loading: a phenomenological model. " International Journal of Impact Engineering, no. 16 (1995): 535-562.
[24] V.S. Deshpande and N.A. Fleck. "Isotropic constitutive models for metallic foams. " J Journal of the Mechanics and Physics of Solids, no. 48 (2000): 1253-1283.
[25] L.J. Gibson and M.F. Ashby. "Cellular solids: structure and properties. " 2nd ed. Cambridge, UK: Cambridge University Press. 1997.
[26] Li. Hua and Hu. Liu. "Clamped sandwich beams with thick weak cores from central impact: A theoretical study. " Composite Structures, no. 169 (2017): 21-28.
Journal of Modeling in Engineering
Volume 22, Issue 78
October 2024
Pages 31-58

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History

  • Receive Date: 11 November 2023
  • Revise Date: 23 January 2024
  • Accept Date: 27 January 2024

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