Preliminary study on ductile fracture of imperfect lattice materials

International Journal of Solids and Structures

Volumn 48, Issue 25-26, 2011, Pages 3453-3461

  Cui, Xiaodong ^a   Xue, Zhenyu ^a   Pei, Yongmao ^b   Fang, Daining ^a,b  

^a TSINGHUA UNIVERSITY   (China)

^b PEKING UNIVERSITY   (China)

Author keywords

Ductile fracture; Imperfection; Lattice materials; Plastic dissipation; Softening

Indexed keywords

DEFECT TYPE; DEFORMATION MODES; FRACTURE BEHAVIOR; HEXAGONAL HONEYCOMB; IMPERFECTION; KAGOME LATTICE; LATTICE MATERIALS; LATTICE TOPOLOGY; MACROSCOPIC MATERIALS; MATERIAL SOFTENING; METAL MATERIALS; NUMERICAL RESULTS; PLASTIC DISSIPATION; RELATIVE DENSITY; RIGID INCLUSION; SOFTENING; TRIANGULAR LATTICE; VACANCY DEFECTS;

CRACK PROPAGATION; CRACKS; DEFECT DENSITY; FINITE ELEMENT METHOD; GROWTH RATE; MATERIALS; STRAIN RATE; TOPOLOGY; VACANCIES;

DUCTILE FRACTURE;

EID: 80054686052     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2011.08.013     Document Type: Article

References (27)

1. ABAQUS, 2004. ABAQUS/Explicit User's Manual Version 6.5. ABAQUS Inc.
2. I.Q. Alonso, and N.A. Fleck Damage tolerance of an elastic-brittle diamond-celled honeycomb Scr. Mater. 56 2007 693 696 (Pubitemid 46216861)
3. C. Chen, T.J. Lu, and N.A. Fleck Effect of imperfections on the yielding of two-dimensional foams J. Mech. Phys. Solids 47 1999 2235 2272 (Pubitemid 32080632)
4. V.S. Deshpande, N.A. Fleck, and M.F. Ashby Effective properties of the octet-truss lattice material J. Mech. Phys. Solids 49 2001 1747 1769 (Pubitemid 32645564)
5. A.G. Evans, J.W. Hutchinson, and M.F. Ashby Multifunctionality of cellular metal systems Prog. Mater. Sci. 43 1998 171 221
6. N.A. Fleck, and X.M. Qiu The damage tolerance of elastic-brittle, two-dimensional isotropic lattices J. Mech. Phys. Solids 55 2007 562 588 (Pubitemid 46108824)
7. L.B. Freund Dynamical Fracture Mechanics 1990 Cambridge University Press New York
8. L.J. Gibson, and M.F. Ashby Cellular Solids: Structure and Properties 1997 Cambridge University Press Cambridge
9. J.L. Grenestedt Influence of imperfections on effective properties of cellular solids Mater. Res. Soc. Symp. Proc. 521 1998 3 13
10. J.S. Huang, and L.J. Gibson Fracture-toughness of brittle honeycombs Acta Metall. Mater. 39 1991 1617 1626
11. Johnson, G.R.; Cook, W.H.; 1983. A constitutive model and data for metals subject to large strains, high strain rates and high temperatures. In: Seventh International Symposium on Ballistics, The Hague, The Netherlands.
12. G.R. Johnson, and W.H. Cook Fracture characteristics of 3 metals subjected to various strains, strain rates, temperatures and pressures Eng. Fract. Mech. 21 1985 31 48
13. F. Lipperman, M. Ryvkin, and M.B. Fuchs Fracture toughness of two-dimensional cellular material with periodic microstructure Int. J. Fract. 146 2007 279 290
14. F. Lipperman, M. Ryvkin, and M.B. Fuchs Nucleation of cracks in two-dimensional periodic cellular materials Comput. Mech. 39 2007 127 139 (Pubitemid 44655765)
15. S.K. Maiti, M.F. Ashby, and L.J. Gibson Fracture-toughness of brittle cellular solids Scripta Metall. Mater. 18 1984 213 217
16. S.D. Papka, and S. Kyriakides Experiments and full-scale numerical simulations of in-plane crushing of a honeycomb Acta Mater. 46 1998 2765 2776 (Pubitemid 128422712)
17. I. Schmidt, and N.A. Fleck Ductile fracture of two-dimensional cellular structures Int. J. Fract. 117 2001 327 342 (Pubitemid 33071899)
18. V.B. Shenoy, and L.B. Freund Necking bifurcations during high strain rate extension J. Mech. Phys. Solids 47 1999 2209 2233 (Pubitemid 32080631)
19. M.J. Silva, W.C. Hayes, and L.J. Gibson The effects of non-periodic microstructure on the elastic properties of 2-dimensional cellular solids Int. J. Mech. Sci. 37 1995 1161 1177
20. L.I. Slepyan Feeding and dissipative waves in fracture and phase transition. I. Some 1D structures and a square-cell lattice J. Mech. Phys. Solids 49 2001 469 511 (Pubitemid 32875512)
21. L.I. Slepyan Feeding and dissipative waves in fracture and phase transition. II. Phase-transition waves J. Mech. Phys. Solids 49 2001 513 550 (Pubitemid 32875513)
22. L.I. Slepyan Feeding and dissipative waves in fracture and phase transition. III. Triangular-cell lattice J. Mech. Phys. Solids 49 2001 2839 2875 (Pubitemid 32997923)
23. L.I. Slepyan Crack in a material-bond lattice J. Mech. Phys. Solids 53 2005 1295 1313 (Pubitemid 40467405)
24. D.D. Symons, and N.A. Fleck The imperfection sensitivity of isotropic two-dimensional elastic lattices J. Appl. Mech. - Trans. ASME 2008 051011-1-051011-8
25. S. Torquato, L.V. Gibiansky, M.J. Silva, and L.J. Gibson Effective mechanical and transport properties of cellular solids Int. J. Mech. Sci. 40 1998 71 82 (Pubitemid 128393328)
26. H.N.G. Wadley Multifunctional periodic cellular metals Philos. Trans. R. Soc. A - Math. Phys. Eng. Sci. 364 2006 31 68 (Pubitemid 43129271)
27. Y.H. Zhang, Z.Y. Xue, X.M. Qiu, and D.N. Fang Plastic yield and collapse mechanism of planar lattice structures J. Mech. Mater. Struct. 3 2008 1257 1277