Finite Element Analyzing of the Effect of Crack on Mechanical Behavior of Honeycomb and Re-entrant Structures

Yıl 2020, , 1015 - 1025, 01.12.2020

Berkay Ergene , Bekir Yalçın

https://doi.org/10.2339/politeknik.534103

Cited By: 5

Öz

Developments in
technology require the new materials, lighter and more efficient structures and
also new manufacturing methods. In this study, after doing researches about
topology optimization, regular honeycomb and re-entrant structures; the regular
honeycomb and re-entrant structures were designed, and then Ti-6Al-4V material
was chosen for these structures in finite element (FE) analyzing. The three
different rib thickness values (t) of 1 mm, 1.5 mm and 2 mm were assigned for
honeycomb and re-entrant structures in FE analyses. Also, the crack was created
on the models, and then 2-D FE analyses were done for both cracked and
un-cracked honeycomb and re-entrant structures under tensile forces through y
axis. Afterwards, the effect of crack on stress intensity factor, stresses,
strains and displacement were obtained and characterized the auxetic behavior
of the regular honeycomb and re-entrant structures. Furthermore, increase in
rib thickness decreases stress and strains for each structure. Moreover, re-entrant
structures have negative Poisson’s ratio due to their geometric properties and
the notable effect of crack on the equivalent stress in re-entrant was emerged
in comparison with honeycomb structure. 
As a result, the only possible fracture in honeycomb for thickness of 1
mm might be observed owing to stress intensity factor obtained from analyses
bigger than fracture toughness of honeycomb structure.    

Anahtar Kelimeler

Auxetic behavior, crack, negative Poisson’s ratio, stress intensity factor

Kaynakça

• [1] Lakes R., “Foam structures with a negative Poisson’s ratios”, Science, 235:1038–1040, (1987)
• [2] Undershill R.S., “Defense applications of auxetic materials”, Advanced Materials, 1(1):7-12, (2014)
• [3] Novak N., Vesenjak M., Ren Z, “Auxetic cellular materials - a review”, Journal of Mechanical Engineering, 62(9): 485-493, (2016)
• [4] Scarpa F., Smith F.C., “Passive and MR fluid-coated auxetic PU foam –mechanical, acoustic, and electromagnetic properties”, Int. Journal Mater. Syst. Struct., 15: 973–979, (2004)
• [5] Yang L., Harrysson O., West H., Cormier D., “Mechanical properties of 3D re-entrant honeycomb auxetic structures realized via additive manufacturing”, Int. Journal of Solids and Structures, 69–70: 475–490, (2015)
• [6] Choy Y.S., Sun C.N., Leonga K.F., Weia J., “Compressive properties of Ti-6Al-4V lattice structures fabricated by selective laser melting: Design, orientation and density”, Additive Manufacturing, 16: 213–224, (2017)
• [7] Yan C., Hao L., Hussein A., Young P., Raymont D., “Advanced lightweight 316Lstainless steel cellular lattice structures fabricated via selective laser melting”, Materials&Design, 55: 533–541, (2014)
• [8] Prawota Y., “Solid Mechanics for Materials Engineers: Auxetic Materials Seen from the Mechanics Point of View, Chapter 15”, USA (2013).
• [9] Alderson A., and Alderson K.L., “Auxetic materials”, Journal of Aerospace Engineering, 221 G: 565-575, (2007)
• [10] Budarapu P.R., Sudhir Sastry Y.B., Natarajan R., “Design concepts of an aircraft wing: composite and morphing airfoil with auxetic structures”, Front. Struct. Civ. Eng., 10(4): 394–408, (2016)
• [11] Critchley R., Corni I., Wharton J.A., Walsh F.C., Wood R.J.K., Stokes K.R., “The preparation of auxetic foams by three-dimensional printing and their characteristics”, Adv. Eng. Mat., 15 (10): 980–985, (2013)
• [12] Maiti K., Ashby M.F., Gibson L.J., “Fracture toughness of brittle cellular solids”, Scripta Metallurgica, 18: 213-217, (1984)
• [13] Green D., “Fabrication and mechanical properties of lightweight ceramics produced by sintering of hollow spheres”, Journal of Am. Ceram. Soc., 68: 403–409, (1985)
• [14] Choi J., and Lakes R, “Fracture toughness of re-entrant foam materials with a negative Poisson’s ratio: Experiment and analysis”, Int. Journal of Fracture, 80: 73–83, (1986)
• [15] Yang L., Harrysson O., West H., Cormier D., “Compressive properties of Ti–6Al–4V auxetic mesh structures made by electron beam melting”, Acta Materialia, 60: 3370–3379, (2012)
• [16] Ingrole A., Hao A., Liang R., “Design and modeling of auxetic and hybrid honeycomb structures for in-plane property enhancement”, Materials & Design, 117: 72–83, (2017)
• [17]http://www.mse.mtu.edu/~drjohn/my4150/honey/h1.html
• [18] Vogiatzis P., Chen S., “Topology optimization of 3d auxetic meta materials using reconciled level-set method”, Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, USA (1986).
• [19] Zhou Z., Zhou J., Fan H., “Plastic analyses of thin-walled steel honeycombs with re-entrant deformation style”, Materials Science & Engineering, A 688: 123–133, (2017)
• [20] Bates S.R.G, Farrow I.R., Trask R.S, “3D printed polyurethane honeycombs for repeated tailored energy absorption”, Materials &Design, 112: 172–183, (2016)
• [21] Carneıro V.H., Meıreles J., Puga H., “Auxetic materials – a review”, Materials Science-Poland, 31(4): 561-571, (2013)
• [22] Argatov I.I., Diaz R.G., Sabina F.J., “On local indentation and impact compliance of isotropic auxetic materials from the continuum mechanics viewpoint”, Int. Journal of Engineering Science, 54: 42-57, (2012)
• [23] Bianchi M., Scarpa F., Smith C.W., “Shape memory behaviour in auxetic foams: Mechanical properties”, Acta Materilia, 58: 858–865, (2010)
• [24] Yalçın B., and Ergene B., “Analyzing the effect of crack in different hybrid composite materials on mechanical behaviors”, Pamukkale University Journal of Engineering Sciences, 24(4): 616-625, (2018)
• [25] Akkuş H., Düzcükoğlu H., and Şahin Ö.S., “Experimental research and use of finite elements method on mechanical behaviors of honeycomb structures assembled with epoxy-based adhesives reinforced with nanoparticles”, Journal of Mechanical Science and Technology,31(1): 165-170, (2017)
• [26] Usman Aslam M., Darwish S.M., “Development and analysis of different density auxetic cellular structures”, Int. Journal on Recent and Innovation Trends in Computing and Communication, 3(1): 27-32, (2015)
• [27] Hertzberg R.W., “Deformation and Facture Mechanics of Engineering Materials”, 3. Edition, John Wiley, USA, (1989)
• [28] Schmidt I., Fleck N.C., “Ductile fracture of two dimensional cellular structures”, International Journal of Fracture, 111: 324-342, (2001)
• [29] Ravirala N., Alderson A, Alderson K, and Davies P., “Auxetic polypropylene films”, Polym. Eng. and Sci., 45: 517-528, (2005)
• [30] Rehme O., Emmelmann C., “Selective laser melting of honeycombs with negative poisson’s ratio”, Journal of Laser Micro/Nanoengineering, 4(2): 128-134, (2009)
• [31] Gibson L.J., Ashby M.F., Schajer G.S., Robertson C.I., Proc. R. Soc. Lond. A, 382, 25, (1982)
• [32] Joseph N.G., Oliveri L., Attard D., Ellul B., Gatt R., Cicala G. and Recca G., “Hexagonal honeycombs with zero poisson’s ratios and enhanced stiffness”, Advanced Engıneerıng Materıals, 12(9): 855-862, (2010)
• [33] Osama A.M.A, and Darwish S.M.H., “Analysis, fabrication and a biomedical application of auxetic cellular structures”, International Journal of Engineering and Innovative Technology, 2 (3), ( 2012)
• [34] Lee J., Choi J.B., and Choi K., “Application of homogenization FEM analysis to regular and re-entrant honeycomb structures”, Journal of Materials Science, 31: 4105- 4110, (1996)
• [35] Whitty J.P.M., Nazare F., and Alderson A., “Modelling the effects of density variations on the in-plane poisson's ratios and young's moduli of periodic conventional and re-entrant honeycombs - part 1: Rib thickness variations”, Cellular Polymers, 21(2): 69-98, (2005)
• [36] Greaves G.N., Greer A.L., Lakes R.S., and Rouxel T., “Poisson’s ratio and modern materials”, Nature Materials, 10: 823-838, (2011)