Effect of mineral-collagen interfacial behavior on the microdamage progression in bone using a probabilistic cohesive finite element model

Journal of the Mechanical Behavior of Biomedical Materials

Volumn 4, Issue 7, 2011, Pages 943-952

  Luo, Qing ^a,b   Nakade, Rugved ^b   Dong, Xuanliang ^c   Rong, Qiguo ^a   Wang, Xiaodu ^b  

^a PEKING UNIVERSITY   (China)

^b UNIVERSITY OF TEXAS AT SAN ANTONIO   (United States)

^c UNIVERSITY OF TEXAS AT TYLER   (United States)

Author keywords

Bone; Cohesive element; FEM; Microdamage; Mineral collagen interface; Probabilistic failure analysis

Indexed keywords

BONE TISSUE; COHESIVE ELEMENT; COHESIVE FINITE ELEMENT; DIFFUSE DAMAGE; FAILURE MECHANISM; INHOMOGENEITIES; INTERFACIAL BEHAVIORS; IONIC INTERACTION; MICRODAMAGE; MINERAL-COLLAGEN INTERFACE; PROBABILISTIC FAILURE ANALYSIS; VAN DER WAALS;

BIOMECHANICS; BONE; FAILURE ANALYSIS; FATIGUE OF MATERIALS; FINITE ELEMENT METHOD; MECHANICAL PROPERTIES; PHASE INTERFACES; SILICATE MINERALS; TISSUE;

COLLAGEN;

COLLAGEN; MINERAL;

ARTICLE; BIOMECHANICS; BONE INJURY; BONE TISSUE; FINITE ELEMENT ANALYSIS; HYDROGEN BOND; IONIC INTERACTION; MOLECULAR INTERACTION; PRIORITY JOURNAL; SIMULATION; VAN DER WAALS BOND; VISCOUS SHEAR INTERACTION;

BONE AND BONES; COLLAGEN; FINITE ELEMENT ANALYSIS; MINERALS; PROBABILITY;

EID: 79960558439     PISSN: 17516161     EISSN: 18780180     Source Type: Journal    
DOI: 10.1016/j.jmbbm.2011.02.003     Document Type: Article

References (54)

1. Best S.M., Duer M.J., Reid D.G., Wise E.R., Zou S. Towards a model of the mineral-organic interface in bone: NMR of the structure of synthetic glycosaminoglycan- and polyaspartate-calcium phosphate composites. Magnetic Resonance in Chemistry 2008, 46:323-329.
2. Bhowmik R., Katti K.S., Katti D.R. Mechanics of molecular collagen is influenced by hydroxyapatite in natural bone. Journal of Material Science 2007, 42:8795-8803.
3. Boyce T.M., Fyhrie D.P., Glotkowski M.C., Radin E.L., Schaffler M.B. Damage type and strain mode associations in human compact bone bending fatigue. Journal of Orthopaedic Research 1998, 16:322-329.
4. Buehler M.J. Molecular nanomechanics of nascent bone: fibrillar toughening by mineralization. Nanotechnology 2007, 18.
5. Burr D.B., Turner C.H., Naick P., Forwood M.R., Ambrosius W, Hasan M S, Pidaparti R Does microdamage accumulation affect the mechanical properties of bone?. Journal of Biomechanics 1998, 31:337-345.
6. Cassella J.P., Barber P., Catterall A.C., Ali S.Y. A morphometric analysis of osteoid collagen fibril diameter in osteogenesis imperfecta. Bone 1994, 15:329-334.
7. Cornec A., Scheider I, Schwalbe K. On the practical application of the cohesive model. Engineering Fracture Mechanics 2003, 70:1963-1987.
8. Currey J. Sacrificial bonds heal bone. Nature 2001, 414:699.
9. Dong X.N., Guda T, Millwater H.R., Wang X.D. Probabilistic failure analysis of bone using a finite element model of mineral-collagen composites. Journal of Biomechanics 2009, 42:202-209.
10. Dong X.N., Luo Q., Sparkman D., Millwater H., Wang X. Random field assessment of nanoscopic in homogeneity of bone. Bone 2010, 47:1380-1384.
11. Fantner G.E., Hassenkam T., Kindt J.H., Weaver J.C., Birkedal H., Pechenik L., Cutroni J.A., Cidade G.G., Stucky G., Morse D.E., Hansma P.K. Sacrificial bonds and hidden length dissipate energy as mineralized fibrils separate during bone fracture. Nature Materials 2005, 4:612-616.
12. Feraren P., Jensen H.M. Cohesive zone modelling of interface fracture near flaws in adhesive joints. Engineering Fracture Mechanics 2004, 71:2125-2142.
13. Fritsch A., Hellmich C., Dormieus L. Ductile sliding between mineral crystals followed by rupture of collagen crosslinks: experimentally supported micromechanical explanation of bone strength. Journal of Theoretical Biology 2009, 260:230-252.
14. Gardner T.N., Elliott J.C., Sklar Z., Briggs G.A. Acoustic microscope study of the elastic properties of fluorapatite and hydroxyapatite, tooth enamel and bone. Journal of Biomechanics 1992, 25:1265-1277.
15. Gupta H.S., Messmer P., Roschger P., Bernstorff S., Klaushofer K., Fratzl P. Synchrotron diffraction study of deformation mechanisms in mineralized tendon. Physical Review Letters 2004, 93(4):158101.
16. Gupta H.S., Wagermaier W., Zickler G.A., Aroush D.R., Funari S.S., Roschger P., Wagner H.D., Fratzl P. Nanoscale deformation mechanisms in bone. Nano Letters 2005, 5:2108-2111.
17. Haj-Ali R., El-Hajjar R., Muliana A. Cohesive fracture modeling of crack growth in thick-section composites. Engineering Fracture Mechanics 2006, 73:2192-2209.
18. Hellmich C., Barthelemy J., Dormieux L. Mineral-collagen interactions in elasticity of bone ultrastructure: a continuum micromechanics approach. European Journal of Mechanics A/Solids 2004, 23:783-810.
19. Hoshaw S.J., Cody D.D., Saad A.M., Fyhrie D.P. Decrease in canine proximal femoral ultimate strength and stiffness due to fatigue damage. Journal of Biomechanics 1997, 30:323-329.
20. Jaeger C., Groom N.S., Bowe E.A., Horner A., Davies M.E., Murray R.C., Duer M.J. Investigation of the nature of the protein-mineral interface in bone by solid-state NMR. Chemistry of Materials 2005, 17:3059-3061.
21. Ji B. A study of the interface strength between protein and mineral in biological materials. Journal of Biomechanics 2008, 41:259-266.
22. Ji B., Gao H. A study of fracture mechanisms in biological nano-composites via the virtual internal bond model. Materials Science and Engineering A 2004, 366:96-103.
23. Katz J.L. Hard tissue as a composite material. I. Bounds on the elastic behavior. Journal of Biomechanics 1971, 4:455-473.
24. Katz J.L., Ukraincik K. On the anisotropic elastic properties of hydro- xyapatite. Journal Biomechanics 1971, 4:221-227.
25. Lees S. Mineralization of type I collagen. Journal of Biophysics 2003, 85:204-207.
26. Millwater H.R., Wirsching P. Analysis method for probabilistic life assessment. Failure Analysis and Prevention 2003, Vol. 11:250-268. Materials Park OH, ASM International.
27. Minary-Jolandan M., Yu M.F. Nanomechanical heterogeneity in the gap and overlap regions of type I collagen fibrils with implications for bone heterogeneity. Biomacromolecules 2009, 10:2565-2570.
28. Nalla R.K., Kinney J.H., Ritchie R.O. Mechanistic fracture criteria for the failure of human cortical bone. Nature Materials 2003, 2:164-168.
29. Nalla R.K., Stolken J.S., Kinney J.H., Ritchie R.O. Fracture in human cortical bone: local fracture criteria and toughening mechanisms. Journal of Biomechanics 2005, 38:1517-1525.
30. Olde Damink L.H., Dijkstra P.J., VanLuyn M.J., VanWachem P.B., Nieuwenhuis P., Feijen J. Changes in the mechanical properties of dermal sheep collagen during in vitro degradation. Journal of Biomedical Materials Research 1995, 29:139-147.
31. Puxkandl R., Zizak I., Paris O., Keckes J., Tesch W., Bernstorff S., Purslow P., Fratzl P. Viscoelastic properties of collagen: synchrotron radiation investigations and structural model. Philosophical Transactions of the Royal Society of London B Biological Sciences 2002, 357:191-197.
32. Rabinovitch O. Debonding analysis of fiber-reinforced-polymer strengthened beams: cohesive zone modeling versus a linear elastic fracture mechanics approach. Engineering Fracture Mechanics 2008, 75:2842-2859.
33. Reilly D.T., Burstein A.H. The elastic and ultimate properties of compact bone tissue. Journal of Biomechanics 1975, 393-405.
34. Reilly G.C., Currey J.D. The development of microcracking and failure in bone depends on the loading mode to which it is adapted. The Journal of Experimental Biology 1999, 202:543-552.
35. Rho J.Y., Kuhn-Spearing L., Zioupos P. Mechanical properties and the hierarchical structure of bone. Medical Engineering & Physics 1998, 20:92-102.
36. Ruppel M.E., Miller L.M., Burr D.B. The effect of the microscopic and nanoscale structure on bone fragility. Osteoporosis International 2008, 19:1251-1265.
37. Sarathchandra P., Pope F.M., Ali S.Y. Morphometric analysis of type I collagen fibrils in the osteoid of osteogenesis imperfecta. Calcified Tissue International 1999, 65:390-395.
38. Scherge M., Gorb S.N. Biological Micro- and Nanotribology 2001, Springer, Berlin.
39. Siegmund T., Allen M.R., Burr D.B. Failure of mineralized collagen fibrils: modeling the role of collagen cross-linking. Journal of Biomechanics 2008, 41:1427-1435.
40. Silver F.H., Freeman J.W., Horvath I., Landis W.J. Molecular basis for elastic energy storage in mineralized tendon. Biomacromolecules 2001, 2:750-756.
41. Tai K., Dao M., Suresh S., Palazoglu A., Ortiz C. Nanoscale heterogeneity promotes energy dissipation in bone. Nature Materials 2007, 6:454-462.
42. Thompson J.B., Kindt J.H., Drake B., Hansma H.G., Morse D.E., Hansma P.K. Bone indentation recovery time correlates with bond reforming time. Nature 2001, 414:773-776.
43. Vashishth D., Koontz J., Qiu S.J., Lundin-Cannon D., Yeni Y.N., Schaffler M.B., Fyhrie D.P. In vivo diffuse damage in human vertebral trabecular bone. Bone 2000, 26:147-152.
44. Vashishth D., Tanner K.E., Bonfield W. Contribution, development and morphology of microcracking in cortical bone during crack propagation. Journal of Biomechanics 2000, 33:1169-1174.
45. Vashishth D., Tanner K.E., Bonfield W. Experimental validation of a microcracking-based toughening mechanism for cortical bone. Journal of Biomechanics 2003, 36:121-124.
46. Weiner S., Wagner H.D. The material bone: structure-mechanical function relations. Annual Review of Material Science 1998, 28:271-298.
47. Wilson E.E., Awonusi A., Morris M.D., Kohn D.H., Tecklenburg M.MJ, Beck L.W. Highly ordered interstitial water observed in bone by nuclear magnetic resonance. Journal of Bone and Mineral Research 2005, 20:625-634.
48. Wilson E.E., Awonusi A., Morris M.D., Kohn D.H., Tecklenburg M.MJ, Beck L.W. Three structural roles for water in bone observed by solid-state NMR. Biophysical Journal 2006, 90:3722-3731.
49. Yamakov V., Saether E., Phillips D.R., Glaessgen E.H. Molecular-dynamics simulation-based cohesive zone representation of intergranular fracture process in aluminum. Journal of the Mechanics and Physics of Solids 2006, 54:1899-1928.
50. Yang L., van der Werf K.O., Fitie C.F.C., Bennink M.L., Dijkstra P.J., Feijen J. Mechanical properties of native and cross-linked type I collagen fibrils. Biophysical Journal 2008, 94:2204-2211.
51. Yan Y., Shang F. Cohesive zone modeling of interfacial delamination in PZT thin films. International Journal of Solids and Structures 2009, 46:2739-2749.
52. Yeni Y.N., Dong X.N., Fyhrie D.P., Les C.M. The dependence between the strength and stiffness of cancellous and cortical bone tissue for tension and compression: extension of a unifying principle. Biomed Mater Eng 2004, 14:303-310.
53. Yeni Y.N., Fyhrie D.P. Fatigue damage-fracture mechanics interaction in cortical bone. Bone 2002, 30:509-514.
54. Zioupos P. Accumulation of in-vivo fatigue microdamage and its relation to biomechanical properties in ageing human cortical bone. Journal of Microscopy 2001, 201:270-278.