Effect of minimal defects in periodic cellular solids

Philosophical Magazine

Volumn 90, Issue 13, 2010, Pages 1807-1818

  Ruffoni, Davide ^a,b   William Chapman Dunlop, John ^a   Fratzl, Peter ^a   Weinkamer, Richard ^a  

^a MAX PLANCK INSTITUTE OF COLLOIDS AND INTERFACES   (Germany)

^b ETH ZURICH   (Switzerland)

Author keywords

Cellular structures; Defects; Strain energy density; Trabecular bone true

Indexed keywords

BASIC BUILDING BLOCK; CELLULAR SOLIDS; CELLULAR STRUCTURE; CELLULAR STRUCTURES; EXTERNAL LOADING; FAILURE INITIATION; HEXAGONAL HONEYCOMB; HYDROSTATIC LOADING; JUNCTION POINT; LOADING CONDITION; MICROMECHANICAL MODEL; MINIMAL DEFECT; POTENTIAL SITES; SPATIAL DISTRIBUTION; STRAIN ENERGY DENSITY; TRABECULAR BONES; UNI-AXIAL LOADING;

BONE; FINITE ELEMENT METHOD; HONEYCOMB STRUCTURES; POINT DEFECTS; SANDWICH STRUCTURES; SIZE DISTRIBUTION; STRAIN ENERGY; WELDS;

DEFECT STRUCTURES;

EID: 77951455376     PISSN: 14786435     EISSN: 14786443     Source Type: Journal    
DOI: 10.1080/14786430903571404     Document Type: Article

References (37)

1. C. Pozrikidis, Int. J. Solids Struct. 45 (2008) p.732.
2. K.J.M. Bishop, C.E. Wilmer, S. Soh and B.A. Grzybowski, Small 5 (2009) p.1600.
3. L.J. Gibson and M.F. Ashby, Cellular Solids: Structure and Properties, Cambridge University Press, Cambridge, 1997.
4. P. Haasen, Physical Metallurgy, Cambridge University Press, New York, 1996.
5. A.G. Evans, J.W. Hutchinson and M.F. Ashby, Prog. Mater. Sci. 43 (1998) p.171.
6. A.G. Evans, J.W. Hutchinson, N.A. Fleck, M.F. Ashby and H.N.G. Wadley, Prog. Mater. Sci. 46 (2001) p.309.
7. F.W. Zok, H.J. Rathbun, Z. Wei and A.G. Evans, Int. J. Solids Struct. 40 (2003) p.5707.
8. H.N.G. Wadley, N.A. Fleck and A.G. Evans, Comp. Sci. Tech. 63 (2003) p.2331.
9. U. Wegst and M. Ashby, Phil. Mag. 84 (2004) p.2167.
10. T.M. Keaveny, E.F. Morgan, G.L. Niebur and O.C. Yeh, Annu. Rev. Biomed. Eng. 3 (2001) p.307.
11. P. Fratzl and R. Weinkamer, Prog. Mater. Sci. 52 (2007) p.1263.
12. L.J. Gibson, J. Biomech. 38 (2005) p.377.
13. K.E. Easterling, R. Harrysson, L.J. Gibson and M.F. Ashby, Proc. R. Soc. Lond. Ser. A 383 (1982) p.31.
14. M.E. Rosa, Phil. Mag. Lett. 88 (2008) p.637.
15. L.J. Gibson, K.E. Easterling and M.F. Ashby, Proc. R. Soc. Lond. Ser. A 377 (1981) p.99.
16. J. Aizenberg, J.C. Weaver, M.S. Thanawala, V.C. Sundar, D.E. Morse and P. Fratzl, Science 309 (2005) p.275.
17. A. Fazekas, R. Dendievel, L. Salvo and Y. Bréchet, Int. J. Mech. Sci. 44 (2002) p.2047.
18. H.X. Zhu, J.R. Hobdell and A.H. Windle, Acta Mater. 48 (2000) p.4893.
19. M.J. Silva and L.J. Gibson, Int. J. Mech. Sci. 39 (1997) p.549.
20. X.E. Guo and L.J. Gibson, Int. J. Mech. Sci. 41 (1999) p.85.
21. C. Chen, T.J. Lu and N.A. Fleck, Int. J. Mech. Sci. 43 (2001) p.487.
22. C. Chen, T.J. Lu and N.A. Fleck, J. Mech. Phys. Solids 47 (1999) p.2235.
23. M.A. Fortes and M. Ashby, Acta Mater. 47 (1999) p.3469.
24. D.H. Chen and S. Ozaki, Comp. Struct. 89 (2009) p.52.
25. N.E.R. Romijn and N.A. Fleck, J. Mech. Phys. Solids 55 (2007) p.2538.
26. G.H. Gunaratne, C.S. Rajapaksa, K.E. Bassler, K.K. Mohanty and S.J. Wimalawansa, Phys. Rev. Lett. 88 (2002) p.068101.
27. A. Nazarian and R. Müller, J. Biomech. 37 (2004) p.55.
28. A.H.W. Ngan, Proc. R. Soc. Lond. Ser. A 461 (2005) p.433.
29. M.H. Luxner, J. Stampfl and H.E. Pettermann, Int. J. Solids Struct. 44 (2007) p.2990.
30. W.E. Warren and A.M. Kraynik, Mech. Mater. 6 (1987) p.27.
31. I.G. Masters and K.E. Evans, Comp. Struct. 35 (1996) p.403.
32. D. Raabe, C. Sachs and P. Romano, Acta Mater. 53 (2005) p.4281.
33. D.W. Overaker, A.M. Cuitino and N.A. Langrana, J. Appl. Mech. Trans. ASME 65 (1998) p.748.
34. M.J. Silva, W.C. Hayes and L.J. Gibson, Int. J. Mech. Sci. 37 (1995) p.1161.
35. P.R. Onck, E.W. Andrews and L.J. Gibson, Int. J. Mech. Sci. 43 (2001) p.681.
36. J.W.C. Dunlop, M.A. Hartmann, Y.J. Brechet, P. Fratzl and R. Weinkamer, Calcif. Tiss. Int. 85 (2009) p.45.
37. R. Huiskes, R. Ruimerman, G.H. van Lenthe and J.D. Janssen, Nature 405 (2000) p.704.