In-plane elastic properties of hierarchical nano-honeycombs: The role of the surface effect

European Journal of Mechanics, A/Solids

Volumn 37, Issue , 2013, Pages 248-255

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

^a SOUTHEAST UNIVERSITY   (China)

^b POLITECNICO DI TORINO   (Italy)

^c INFN LABORATORI NAZIONALI DI FRASCATI   (Italy)

^d ISTITUTO NAZIONALE DI RICERCA METROLOGICA   (Italy)

Author keywords

Buckling; Elasticity; Hierarchical; Nano honeycomb; Strength

Indexed keywords

EID: 84865644625     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2012.06.003     Document Type: Article

References (37)

1. M.F. Ashby Materials Selection in Mechanical Design fourth ed. 2010 Butterworth-Heinemann Burlington, US
2. A. Bezazi, C. Remillat, P. Innocenti, and F. Scarpa In-plane mechanical and thermal conductivity properties of a rectangular-hexagonal honeycomb structures Compos. Struct. 84 2008 248 255
3. B. Budiansky On the minimum weights of compression structures Int. J. Solids Struct. 36 1999 3677 3708
4. R.C. Cammarata Surface and interface stress effect in thin films Prog. Surf. Sci. 46 1994 1 38
5. Q. Chen, and N. Pugno Competition between in-plane buckling and bending collapses in nanohoneycombs Europhys. Lett. 98 2012 16005
6. Q. Chen, and N. Pugno In-plane elastic buckling of hierarchical honeycomb materials Eur. J. Mech. A Solid. 34 2012 120 129
7. Q. Chen, and N. Pugno Mechanics of hierarchical 3-D nanofoams Europhys. Lett. 97 2012 26002
8. H. Duan, J. Wang, B.L. Karihaloo, and Z.P. Zhang Nanoporous materials can be made stiffer than non-porous counterparts by surface modification Acta Mater. 54 2006 2983 2990
9. H. Duan, J. Wang, and B.L. Karihaloo Theory of elasticity at the nanoscale Adv. Appl. Mech. 42 2009 1 68
10. J. George, J. Onodera, and T. Miyata Biodegradable honeycomb collagen scaffold for dermal tissue engineering J. Biomed. Mater. Res. A 87 2008 1103 1111
11. L.J. Gibson, and M.F. Ashby Cellular Solids: Structure and Properties second ed. 1997 Cambridge Universiry Press Cambridge
12. L.J. Gibson, M.F. Ashby, G.S. Schajer, and C.J. Robertson The mechanics of two-dimensional cellular materials Proc. R. Soc. Lond. A 382 1982 25 42
13. M.E. Gurtin, and A.I. Murdoch A continuum theory of elastic material surface Arch. Rat. Mech. Anal. 57 1975 291 323
14. G.N. Karam, and L.J. Gibson Biomimicking of animal quills and plant stems: natural cylindrical shells with foam cores Mater. Sci. Eng. C 2 1994 113 132
15. R. Lakes Materials with structural hierarchy Nature 361 1993 511 515
16. R.E. Miller, and V.B. Shenoy Size-dependent elastic properties of nanosized structural elements Nanotechnology 11 2000 139 147
17. S.D. Papka, and S. Kyriakides In-plane compressive response and crushing of honeycombs J. Mech. Phys. Solids 42 1994 1499 1532
18. N.M. Pugno, F. Bosia, and A. Carpinteri Multiscale stochastic simulations for tensile testing of nanotube-based macroscopic cables Small 4 2008 1044 1052
19. N.M. Pugno Mimicking nacre with super-nanotubes for producing optimized super-composites Nanotechnology 17 2006 5480 5484
20. D. Raabe, P. Romano, C. Sachs, A. Al-Sawalmih, H.-G. Brokmeier, S.-B. Yi, G. Servos, and H.G. Hartwig Discovery of a honeycomb structure in the twisted plywood patterns of fibrous biological nanocomposite tissue J. Cryst. Growth 283 2005 1 7
21. H. Rhee, M.F. Horstemeyer, and A. Ramsay A study on the structure and mechanical behavior of the Dasypus novemcinctus shell Mater. Sci. Eng. C 31 2011 363 369
22. R.J. Roark, and W.C. Young Formulas for Stress and Strain fifth ed. 1975 McGraw-Hill Book Co. Inc. New York
23. Y. Seki, M.S. Schneider, and M.A. Meyers Structure and mechanical behavior of a toucan beak Acta Mater. 53 2005 5281 5296
24. M.R. Shankar, and A.H. King How surface stresses lead to size-dependent mechanics of tensile deformation in nanowires Appl. Phys. Lett. 90 2007 141907
25. V.B. Shenoy Atomistic calculations of elastic properties of metallic fcc crystal surfaces Phys. Rev. B 71 2005 094104 094111
26. S.P. Timoshenko, and J. Gere Theory of Elastic Stability second ed. 1961 McGraw-Hill Company New York
27. G. Tolf Saint-Venant bending of an orthotropic beam Compos. Struct. 4 1985 1 14
28. H.N.G. Wadley Multifunctional periodic cellular metals Phil. Trans. R. Soc. A 364 2006 31 68
29. G.F. Wang, and X.Q. Feng Surface effects on buckling of nanowires under uniaxial compression Appl. Phys. Lett. 94 2009 141913
30. J. Wang, H.L. Duan, Z.P. Huang, and B.L. Karihaloo A scaling law for properties of nano-structured materials Proc. R. Soc. A 462 2006 1355 1363
31. D. Wang, Z. Wang, and Q. Liao Energy absorption diagrams of paper honeycomb sandwich structures package Technol. Sci. 22 2009 63 67
32. D. Wang Impact behavior and energy absorption of paper honeycomb sandwich panels Int. J. Impact Eng. 36 2009 110 114
33. W.E. Warren, and A.M. Kraynik Foam mechanics: the linear elastic response of two-dimensional spatially periodic cellular materials Mech. Mater. 6 1987 27 37
34. U.G.K. Wegst, and M.F. Ashby The mechanical efficiency of natural materials Philos. Mag. 84 2004 2167 2181
35. E.W. Wong, P.E. Sheehan, and C.M. Lieber Nanobeam mechanics: elasticity, strength and toughness of nanorods and nanotubes Science 277 1997 1972 1975
36. J. Zhang, and M.F. Ashby Buckling of honeycombs under in-plane biaxial stresses Int. J. Mech. Sci. 34 1992 491 509
37. K. Zhang, H. Duan, B.L. Karihaloo, and J. Wang Hierarchical, multilayered cell walls reinforced by recycled silk cocoons enhance the structural integrity of honeybee combs Proc. Natl. Acad. Sci. U. S. A. 107 2010 9502 9506