In-plane elastic buckling of hierarchical honeycomb materials

European Journal of Mechanics, A/Solids

Volumn 34, Issue , 2012, Pages 120-129

  Chen, Qiang ^a,c   Pugno, Nicola M ^a,b  

^a POLITECNICO DI TORINO   (Italy)

^b INFN LABORATORI NAZIONALI DI FRASCATI   (Italy)

^c ISTITUTO NAZIONALE DI RICERCA METROLOGICA   (Italy)

Author keywords

Energy absorption; Hierarchical honeycomb; Local buckling stress; Progressive failure

Indexed keywords

ELASTICITY; ENERGY ABSORPTION; HONEYCOMB STRUCTURES; STRUCTURAL DESIGN;

CONSTITUTIVE BEHAVIORS; ENERGY ABSORPTION PROPERTIES; HIERARCHICAL ARCHITECTURES; HIERARCHICAL HONEYCOMB; HIERARCHICAL STRUCTURES; LOCAL BUCKLING; PARAMETRIC -ANALYSIS; PROGRESSIVE FAILURE;

BUCKLING;

EID: 84857013033     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2011.12.003     Document Type: Article

References (36)

1. Ashby, M.F., 2010. Materials Selection in Mechanical Design, fourth ed. Butterworth- Heinemann, Burlington.
2. Budiansky, B., 1999. On the minimum weights of compression structures. Int. J. Solids Struct. 36, 3677-3708.
3. Cai, X., 2007. Wood modifications for valued-added applications using nanotechnology-based approaches. PhD. Thesis, Université Laval, Canada.
4. Chang, C.H., 2005. Buckling of inclined columns. Lect Notes Appl. Comput. Mech. 22, 93-111.
5. Chen, Q., Pugno, N., 2011. A parametrical analysis on the elastic anisotropy of woven hierarchical tissues. Adv. Biomater. doi:10.1002/adem. 20108013.
6. Chen, Q., Pugno, N., 2012. Mechanics of hierarchical 3-D nanofoams. EPL 97, 260002.
7. Côté, F., Russel, B.P., Deshpande, V.S., Fleck, N.A., 2009. The through-thickness compressive strength of a composite sandwich panel with a hierarchical square honeycomb sandwich core. J. Appl. Mech. 76, 061004.
8. Easterling, K.E., Harrysson, R., Gibson, L.J., Ashby, M.F., 1982. On the mechanics of Basla and other wood. Proc. R. Soc. Lond A 383, 31-41.
9. Fabritius, H., Sachs, C., Romano Triguero, P., Raabe, D., 2009. Influence of structural principles on the mechanics of a biological fiber-based composite material with hierarchical organization: The exoskeleton of the lobster Homarus americanus. Adv. Mater. 21, 391-400.
10. Foo, C.C., Chai, G.B., Seah, L.K., 2007. Mechanical properties of Nomex material and Nomex honeycomb structure. Compos. Struct. 80, 588-594. (Pubitemid 46359849)
11. Gao, H., 2006. Application of fracture mechanics concepts to hierarchical biomechanics of bone and bone-like materials. Int. J. Fracture 138, 101-137.
12. Gibson, L.J., Ashby, M.F., Schajer, G.S., Robertson, C.J., 1982. The mechanics of two-dimensional cellular materials. Proc. R. Soc. Lond. A 382, 25-42.
13. Gibson, L.J., Ashby, M.F., 1997. Cellular Solids: Structure and Properties, second ed. Cambridge University Press, Cambridge.
14. Gibson, L.J., 2005. Biomechanics of cellular solids. J. Biomech. 38, 377-399. (Pubitemid 40126449)
15. Green, D.W., Winandy, J.E., Kretschmann, D.E., 1999. Mechanical properties of wood. In: Wood Handbook: Wood as an Engineering Material. U.S. Dapartment of Agriculture Forest Service, Forest Products Laboratory, Madison, WI chap. 4.
16. Krauss, S., Monsonego-ornan, E., Zelzer, E., Fratzl, P., hahar, R., 2009. Mechanical function of a complex three-dimensional suture joining the bony elements in the shell of the red-eared slider turtle. Adv. Mater. 21, 407-412.
17. Launey, M.E., Ritchie, R.O., 2009. On the fracture toughness of advanced materials. Adv. Mater. 21, 2103-2110.
18. Munch, E., Launey, M.E., Alsem, D.H., Saiz, E., Tomsia, A.P., Ritchie, R.O., 2008. Tough, bio-inspired hybrid materials. Science 322, 1516-1520.
19. Papka, S.D., Kyriakides, S., 1994. In-plane compressive response and crushing of honeycomb. J. Mech. Phys. Solids 42, 1499-1532.
20. Papka, S.D., Kyriakides, S., 1998a. In-plane crushing of a polycarbonate honeycomb. Int. J. Solids Struct. 35, 239-267. (Pubitemid 128398049)
21. Papka, S.D., Kyriakides, S., 1998b. Experiments and full-scale numerical simulations of in-plane crushing of a honeycomb. Acta Mater. 46, 2765-2776. (Pubitemid 128422712)
22. Pugno, N.M., 2006. Mimicking nacre with super-nanotubes for producing optimized super-composites. Nanotechnology 17, 5480-5484. (Pubitemid 46069320)
23. Pugno, N., Bosia, F., Carpinteri, A., 2008. Multiscale stochastic simulations for tensile testing of nanotube-based macroscopic cables. Small 4, 1044-1052.
24. Pugno, N., Carpinteri, A., 2008. Design of micro-nanoscale bio-inspired hierarchical materials. Phil. Mag. Lett. 88, 397-405.
25. Raabe, D., Sachs, C., Romano, P., 2005. The curstacean exoskeleton as an example of a structurally and mechanically graded biological nanocomposite material. Acta Mater. 53, 4281-4292. (Pubitemid 41164420)
26. Ritchie, R.O., Buehler, M.J., Hansma, P., 2009. Plasticity and toughness in bone. Phys. Today 62, 41-47.
27. Sen, D., Garcia, A., Buehler, M.J., 2011. Mechanics of nano-honeycomb silica structures: A size-dependent brittle-to-ductile transition. J. Nanomech. Micromech. 1, 112-118.
28. Smith, B.L., Schaffer, T.E., Viani, M., Thompson, J.B., Frederick, N.A., Kindt, J., Belcher, A., Stucky, G.D., Morse, D.E., Hansma, P.K., 1999. Molecular mechanistic origin of the toughness of natural adhesives, fibres and composites. Nature 399, 761-763. (Pubitemid 29293167)
29. Taylor, C.M., Smith, C.W., Miller,W., Evans, K.E., 2011. The effects of hierarchy on the in-plane elastic properties of honeycombs. Int. J. Solids Struct. 48, 1330-1339.
30. Timoshenko, S.P., Gere, J.M., 1961. Theory of Elastic Stability. McGraw-Hill, New York.
31. Tolf, G., 1985. Saint-Venant bending of an orthotropic beam. Compos. Struct. 4, 1-14.
32. Warren, W.E., Kraynik, A.M., 1987. Foam mechanics: The linear elastic response of two-dimensional spatially periodic cellular materials. Mech. Mater. 6, 27-37. (Pubitemid 17637872)
33. Xue, Z.Y., Hutchinson, J.W., 2006. Crush dynamics of square honeycomb sandwich cores. Int. J. Numer. Methods Eng. 65, 2221-2245.
34. Yao, H., Dao, M., Carnelli, D., Tai, K., Ortiz, C., 2011. Size-dependent heterogeneity benefits the mechanical performance of bone. J. Mech. Phys. Solids 59, 64-74.
35. Zhang, J., Ashby, M.F., 1992. Buckling of honeycombs under in-place biaxial stresses. Int. J. Mech. Sci. 34, 492-509.
36. Zhang, Z., Zhang, Y., Gao, H., 2011. On optimal hierarchy of load-bearing biological materials. Proc. R. Soc. B 278, 519-525.