A continuous damage random thresholds model for simulating the fracture behavior of nacre

Biomaterials

Volumn 26, Issue 30, 2005, Pages 6087-6098

  Nukala, Phani K V V ^a   Simunovic, Srdan ^a  

^a OAK RIDGE NATIONAL LABORATORY   (United States)

Author keywords

Biomimetic material; Fracture mechanism; Fracture toughness; Nacre; Nanocomposite; Random fuse model

Indexed keywords

BRICK; MATHEMATICAL MODELS; MORTAR; PROTEINS; SHEAR STRENGTH; STIFFNESS; TENSILE STRENGTH;

ARAGONITE PLATELETS; MORTAR MICROARCHITECTURE; ORGANIC MATRIX; PROTEIN MOLECULES;

FRACTURE;

BIOMIMETIC MATERIAL; CALCIUM CARBONATE; NACRE; UNCLASSIFIED DRUG;

ARTICLE; COMPOSITE MATERIAL; PRIORITY JOURNAL; PROTEIN FOLDING; RIGIDITY; SHEAR STRENGTH; SIMULATION; TENSILE STRENGTH; THEORETICAL MODEL; THROMBOCYTE;

BIOCOMPATIBLE MATERIALS; BIOMECHANICS; CALCIUM CARBONATE; DIFFUSION; HARDNESS TESTS; MATERIALS TESTING; MODELS, STATISTICAL; MODELS, THEORETICAL; MOLECULAR CONFORMATION; POLYMERS; PROTEIN FOLDING; STRESS, MECHANICAL; SURFACE PROPERTIES; TENSILE STRENGTH;

EID: 20444415649     PISSN: 01429612     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.biomaterials.2005.03.013     Document Type: Article

References (38)

1. J.D. Currey Mechanical properties of mother of pearl in tension Proc R Soc B 196 1977 443 463
2. A.P. Jackson, J.F.V. Vincent, D. Briggs, R.A. Crick, S.F. Davies, M.J. Hearn, and R.M. Turner Application of surface analytical techniques to the study of fracture surfaces of mother-of-pearl J Mater Sci Lett 5 1986 975 978
3. A.P. Jackson, J.F.V. Vincent, and R.M. Turner The mechanical design of nacre Proc R Soc B 234 1988 415 440
4. A.P. Jackson, J.F.V. Vincent, and R.M. Turner Comparison of nacre with other ceramic composites J Mater Sci 25 1990 3173 3178
5. M. Sarikaya, J. Liu, and I.A. Aksay Biomimetics: design and processing of materials 1995 Woodbury New York p. 35-90
6. R.Z. Wang, H.B. Wen, F.Z. Cui, H.B. Zhang, and H.D. Li Observations of damage morphologies in nacre during deformation and fracture J Mater Sci 30 1995 2299 2304
7. B.L. Smith, T.E. Schaffer, M. Viani, J.B. Thompson, N.A. Frederick, J. Kindt, A. Belcher, G.D. Stucky, D.E. Morse, and P.K. Hansma Molecular mechanistic origin of the toughness of natural adhesives, fibres and composites Nature 399 1999 761 763
8. S. Kamat, X. Su, R. Ballarini, and H.A. Heuer Structural basis for the fracture toughness of the shell of the conch Strombus gigas Nature 405 2000 1036 1040
9. A.G. Evans, Z. Suo, R.Z. Wang, I.A. Aksay, M.Y. He, and J.W. Hutchinson Model for the robust mechanical behavior of nacre J Mater Res 16 9 2001 2475 2484
10. R.Z. Wang, Z. Suo, A.G. Evans, N. Yao, and I.A. Aksay Deformation mechanisms in nacre J Mater Res 16 9 2001 2485 2493
11. K. Okumura, and P.G. de Gennes Why is nacre strong? Elastic theory and fracture mechanics for biocomposites with stratified structures Eur Phys J E 4 2001 121 127
12. R. Menig, M.H. Meyers, M.A. Meyers, and K.S. Vecchio Quasi-static and dynamic mechanical response of strombus gigas (conch) shells Mater Sci Eng A 297 2001 203 211
13. J.F.V. Vincent Biomimetic modelling Phil Trans R Soc London B 358 2003 1597 1603
14. T.E. Schaffer, C.I. Zanetti, R. Proksch, M. Fritz, D.A. Walters, N. Almqvist, C.M. Zaremba, A.M. Belcher, B.L. Smith, G.D. Stucky, D.E. Morse, and P.K. Hansma Does abalone nacre form by heteroepitaxial nucleation or by growth through mineral bridges? Chem Mater 9 1997 1731 1740
15. F. Song, and Y.L. Bai Effects of nanostructures on the fracture strength of the interfaces in nacre J Mater Res 18 8 2003 1741 1744
16. F. Song, A.K. Soh, and Y.L. Bai Structural and mechanical properties of the organic matrix layers of nacre Biomaterials 24 2003 3623 3631
17. N. Almqvist, N.H. Thomson, B.L. Smith, G.D. Stucky, D.E. Morse, and P.K. Hansma Methods for fabricating and characterizing a new generation of biomimetic materials Mater Sci Eng C 7 1999 37 43
18. G. Mayer, and M. Sarikaya Rigid biological composite materials: structural examples for biomimetic design Exp Mech 42 4 2002 395 403
19. K. Okumura Toughness of double elastic networks Europhys Lett 67 3 2004 470 476
20. I. Jager, and P. Fratzl Mineralized collagen fibrils: a mechanical model with a staggered arrangement of mineral particles Biophys J 79 2000 1737 1746
21. S.P. Kotha, Y. Li, and N. Guzelsu Micromechanical model of nacre tested in tension J Mater Sci 36 2001 2001 2007
22. D.R. Katti, K.S. Katti, J.M. Sopp, and M. Sarikaya 3D finite element modeling of mechanical response in nacre-based hybrid nanocomposites Comput Theor Polym Sci 11 2001 397 404
23. H. Gao, B. Ji, I.L. Jager, E. Arzt, and P. Fratzl Materials become insensitive to flaws at nanoscale: lessons from nature PNAS 100 10 2003 5597 5600
24. B. Ji, and H. Gao A study of fracture mechanisms in biological nano-composites via the virtual internal bond model Mater Sci Eng A 366 2004 96 103
25. B. Ji, and H. Gao Mechanical properties of nanostructure of biological materials J Mech Phys Solids 52 9 2004 1963 1990
26. L. de Arcangelis, S. Redner, and H.J. Herrmann A random fuse model for breaking processes J Phys (Paris) Lett 46 1985 585 590
27. M. Sahimi, and J.D. Goddard Elastic percolation models for cohesive mechanical failure in heterogeneous systems Phys Rev B 33 1986 7848 7851
28. L. de Arcangelis, A. Hansen, H.J. Herrmann, and S. Roux Scaling laws in fracture Phys Rev B 40 1989 877 880
29. H.J. Herrmann S. Roux Statistical models for the fracture of disordered media 1990 North-Holland Amsterdam
30. K.K. Bardhan B.K. Chakrabarti A. Hansen Non-linearity and breakdown in soft condensed matter 1994 Springer Berlin
31. B.K. Chakrabarti, and L.G. Benguigui Statistical physics of fracture and breakdown in disordered systems 1997 Oxford University Press Oxford
32. D. Krajcinovic, and J.G.M. van Mier Damage and fracture of disordered materials 2000 Springer New York
33. S. Zapperi, P. Ray, H.E. Stanley, and A. Vespignani First-order transition in the breakdown of disordered media Phys Rev Lett 78 1997 1408 1411
34. S. Zapperi, P. Ray, H.E. Stanley, and A. Vespignani Avalanches in breakdown and fracture processes Phys Rev E 59 1999 5049 5057
35. S. Zapperi, A. Vespignani, and H.E. Stanley Plasticity and avalanche behavior in microfracturing phenomena Nature 388 1997 658 660
36. F. Kun, S. Zapperi, and H.J. Herrmann Damage in fiber bundle models Eur Phys J B 17 2000 269 279
37. G.G. Batrouni, and A. Hansen Fracture in three-dimensional fuse networks Phys Rev Lett 80 1998 325 328
38. P.K.V.V. Nukala, and S. Simunovic An efficient algorithm for simulating fracture using large fuse networks J Phys A: Math Gen 36 2003 11403 11412