Abstract
Under low-velocity impact, the dynamic response of fully clamped foam-filled sandwich beam with circular shape core is studied theoretically and numerically in this paper. Based on the yield condition of the foam-filled sandwich structure, the theoretical model of the dynamic response of the foam-filled sandwich beam with circular shape core under low-velocity impact is established, considering the foam effect and the interaction between stretching and bending moment. The ‘bound’ and analytical solution for the dynamic response of the foam-filled sandwich beam with circular shape core are derived. To verify the correctness of the theoretical solution, the finite element analysis is carried out. It is found that the difference between the two is very small, which can be considered that they are consistent. Finally, the effects of geometric parameters, material properties and the impact location about dynamic response of the foam-filled sandwich beams with circular shape core are discussed. It is shown that increasing the strength and thickness of face-sheets, the strength of foam, the strength and thickness of circular tube result in the increase in the impact force for the given deflection. When the loading location is farther from the midspan the sandwich beam filled with foam, the impact force increases, the maximum deflection decreases for the given impact energy.
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References
Chen GC, Zhang P, Deng NQ et al (2022) Paper tube-guided blast response of sandwich panels with auxetic re-entrant and regular hexagonal honeycomb cores—an experimental study. Eng Struct 253:113790
Chen GC, Cheng YS, Zhang P et al (2021) Blast resistance of metallic double arrowhead honeycomb sandwich panels with different core configurations under the paper tube-guided air blast loading. Int J Mech Sci 201:106457
Sun Z, Chen HJ, Song ZW et al (2021) Three-point bending properties of carbon fiber/honeycomb sandwich panels with short-fiber tissue and carbon-fiber belt interfacial toughening at different loading rate. Composites A 143:106289
Chen XJ, Yu GC, Wang ZX et al (2021) Enhancing out-of-plane compressive performance of carbon fiber composite honeycombs. Compos Struct 255:112984
Sun GY, Huo XT, Wang HX et al (2021) On the structural parameters of honeycomb-core sandwich panels against low-velocity impact. Composites B 216:108881
Huang W, Zhang W, Li DC et al (2019) Analytical model of the dynamic response of clamped metallic sandwich beam subjected to underwater impulsive loading. Mar Struct 63:333–350
Raissi H (2021) Dynamic analysis of a spherical sandwich sector with piezoelectric face sheets and FG-CNT core subjected to low-velocity impact. J Braz Soc Mech Sci 43(7):363
Cai SP, Zhang P, Dai WX et al (2019) Multi-objective optimization for designing metallic corrugated core sandwich panels under air blast loading. J Sandw Struct Mater 23:1192–1220
Mahdi KM, Vahid B (2016) Bending and buckling analysis of corrugated composite sandwich plates. J Braz Soc Mech Sci 38(8):2571–2588
Chen BC, Chen LM, Du B et al (2021) Novel multifunctional negative stiffness mechanical metamaterial structure: tailored functions of multi-stable and compressive mono-stable. Composites B 204:108501
Peng Y, Wei K, Mei M et al (2021) Simultaneously program thermal expansion and Poisson’s ratio in three dimensional mechanical metamaterial. Compos Struct 262:113365
Zhang YW, Yan LL, Zhang C et al (2021) Low-velocity impact response of tube-reinforced honeycomb sandwich structure. Thin Wall Struct 158:107188
Mei J, Liu JY, Huang W (2022) Three-point bending behaviors of the foam-filled CFRP X-core sandwich panel: experimental investigation and analytical modelling. Compos Struct 284:115206
Liu JL, Liu JY, Mei J et al (2018) Investigation on manufacturing and mechanical behavior of all-composite sandwich structure with Y-shaped cores. Compos Sci Technol 159:87–102
Yang WC, Huang RX, Liu JY et al (2022) Ballistic impact responses and failure mechanism of composite double-arrow auxetic structure. Thin-Walled Struct 174:109087
Jing L, Wang ZH, Zhao LM (2011) Experimental and analytical study of dynamic response of sandwich beam under impact loading. Mater Res Innov 15:S94–S97
Yu JL, Wang EH, Li JR et al (2008) Static and low-velocity impact behavior of sandwich beams with closed-cell aluminum-foam core in three-point bending. Int J Impact Eng 35:885–894
Caliskan U, Apalak MK (2020) Flexural impact response and damage detection of composite sandwich beam with various PVC foam cores. Mech Adv Mater Struct 2020:1815110
Caliskan U, Apalak MK (2019) Bending impact behaviour of sandwich beams with expanded polystyrene foam core: analysis. J Sandw Struct Mater 21:230–259
Zangana S, Epaarachchi J, Ferdous W et al (2021) Behaviour of continuous fibre composite sandwich core under low-velocity impact. Thin Wall Struct 158:107157
Caliskan U, Apalak MK (2017) Low velocity bending impact behavior of foam core sandwich beams: experimental. Composites B 112:158–175
Jing L, Su XY, Chen D et al (2019) Experimental and numerical study of sandwich beams with layered-gradient foam cores under low-velocity impact. Thin Wall Struct 135:227–244
Marada G, Vadean A, Boukhili R (2017) Failure mechanisms of a sandwich beam with an ATH/epoxy core under static and dynamic three-point bending. Compos Struct 176:281–293
Duarte I, Vesenjak M, Krstulovic-Opara L (2014) Dynamic and quasi-static bending behavior of thin-walled aluminium tubes filled with aluminium foam. Compos Struct 109:48–56
Duarte I, Vesenjak M, Krstulovic-Opara L (2015) Manufacturing and bending behaviour of in situ foam-filled aluminium alloy tubes. Mater Des 66:532–544
Shojaeifard MH, Zarei HR, Talebitooti R (2012) Bending behavior of empty and foam-filled aluminum tubes with different cross-sections. Acta Mech Solida Sin 25:616–626
Sampath V, Rao CL, Reddy S (2016) Energy absorption of foam filled aluminum tubes under dynamic bending. Procedia Manuf 7:225–233
Zhou P, Beeh E, Kriescher M et al (2016) Experimental comparison of energy absorption characteristics of polyurethane foam-filled magnesium and steel beams in bending. Int J Impact Eng 93:76–87
Taherishargh M, Vesenjak M, Belova IV et al (2016) In situ manufacturing and mechanical properties of syntactic foam filled tubes. Mater Des 99:356–368
Smith R, Altenhof W, Lapain M (2016) Transverse impact loading of aluminum foam filled braided stainless steel tubes. Int J Impact Eng 88:214–226
Zhang Y, Xu X, Liu SR et al (2018) Crashworthiness design for bi-graded composite circular structures. Constr Build Mater 168:633–649
Fang JG, Gao YK, Sun GY et al (2014) Parametric analysis and multi objective optimization for functionally graded foam-filled thin-wall tube under lateral impact. Comput Mater Sci 90:265–275
Yin HF, Dai JL, Wen GL et al (2019) Multi-objective optimization design of functionally graded foam-filled graded-thickness tube under lateral impact. Int J Comput Methods 16:1850088
Zhao MD, Du JL, Yuan H et al (2022) Plastic behavior of the foam-filled sandwich beam with circular tube core under transverse loading. Eng Struct 268:114801
Hodge PG (1963) Limit analysis of rotationally symmetric plates and shells. Prentice-Hall, Englewood Cliffs
Vidilli AL, Otani LB, Wolf W et al (2020) Design of a FeMnAlC steel with TWIP effect and evaluation of its tensile and fatigue properties. J Alloys Compd 831:154806
Deshpande VS, Fleck NA (2000) Isotropic constitutive models for metallic foams. J Mech Phys Solids 48:1253–1283
Acknowledgements
The authors are grateful for their financial support through the project of State Key Laboratory for Strength and Vibration of Mechanical Structures (SV2021-KF-25), the project of 2022 Guangxi key laboratory of Automobile Components and Vehicle technology (2022GKLACVTKF01), Foundation of President of Hefei Institutes of Physical Science, Chinese Academy of Sciences (Y94Y5AT).
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Zhao, M., Du, J., Wu, X. et al. Dynamic response of foam-filled sandwich beam with circular shape core under low-velocity impact. J Braz. Soc. Mech. Sci. Eng. 45, 49 (2023). https://doi.org/10.1007/s40430-022-03951-8
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DOI: https://doi.org/10.1007/s40430-022-03951-8