Multiscale modeling of bone fracture using cohesive finite elements

Engineering Fracture Mechanics

Volumn 103, Issue , 2013, Pages 141-152

  Ural, Ani ^a   Mischinski, Susan ^a  

^a Villanova University   (United States)

Author keywords

Bone; Cohesive zone modeling; Crack growth; Finite element analysis; Microstructure

Indexed keywords

COHESIVE FINITE ELEMENT; COHESIVE-ZONE MODELING; EVALUATION APPROACH; FRACTURE MECHANISMS; FRACTURE RISK ASSESSMENTS; FRACTURE TOUGHENING; HIERARCHICAL MATERIALS; MULTI-SCALE MODELING;

BONE; BONE CEMENT; CEMENTS; FINITE ELEMENT METHOD; FRACTURE; MICROSTRUCTURE; RISK ASSESSMENT; STRENGTH OF MATERIALS;

CRACK PROPAGATION;

EID: 84876735202     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2012.05.008     Document Type: Article

References (60)

1. Rho J.Y., Kuhn-Spearing L., Zioupos P. Mechanical properties and the hierarchical structure of bone. Med Engng Phys 1998, 20:92-102.
2. Vashishth D. Hierarchy of bone microdamage at multiple length scales. Int J Fatigue 2007, 29:1024-1033.
3. Evans F.G., Bang S. Differences and relationships between the physical properties and microscopic structure of human femoral, tibial and fibular cortical bone. Am J Anat 1967, 120:79-88.
4. Evans F.G., Vincentelli R. Relations of the compressive properties of human cortical bone to histological structure and calcification. J Biomech 1974, 7:1-10.
5. McCalden R.W., McGeough J.A., Barker M.B., Court-Brown C.M. Age-related changes in the tensile properties of cortical bone. The relative importance of changes in porosity, mineralization, and microstructure. J Bone Joint Surg Am 1993, 75:1193-1205.
6. Vincentelli R., Grigorov M. The effect of Haversian remodeling on the tensile properties of human cortical bone. J Biomech 1985, 18:201-207.
7. Yeni Y.N., Brown C.U., Wang Z., Norman T.L. The influence of bone morphology on fracture toughness of the human femur and tibia. Bone 1997, 21:453-459.
8. 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. J Orthop Res 1998, 16:322-329.
9. Burr D.B., Schaffler M.B., Frederickson R.G. Composition of the cement line and its possible mechanical role as a local interface in human compact bone. J Biomech 1988, 21:939-945.
10. Carter D.R., Hayes W.C. Compact bone fatigue damage: a microscopic examination. Clin Orthop Relat Res 1977, 127:265-274.
11. Hiller L.P., Stover S.M., Gibson V.A., Gibeling J.C., Prater C.S., Hazelwood S.J., et al. Osteon pullout in the equine third metacarpal bone: effects of ex vivo fatigue. J Orthop Res 2003, 21:481-488.
12. Kennedy O.D., Brennan O., Mauer P., Rackard S.M., O'Brien F.J., Taylor D., et al. The effects of increased intracortical remodeling on microcrack behaviour in compact bone. Bone 2008, 43:889-893.
13. Koester K.J., Ager J.W., Ritchie R.O. The true toughness of human cortical bone measured with realistically short cracks. Nat Mater 2008, 7:672-677.
14. Koester K.J., Barth H.D., Ritchie R.O. Effect of aging on the transverse toughness of human cortical bone: evaluation by R-curves. J Mech Behav Biomed Mater 2011, 4:1504-1513.
15. Nalla R.K., Kinney J.H., Ritchie R.O. Mechanistic fracture criteria for the failure of human cortical bone. Nat Mater 2003, 2:164-168.
16. O'Brien F.J., Taylor D., Lee T.C. The effect of bone microstructure on the initiation and growth of microcracks. J Orthop Res 2005, 23:475-480.
17. Zioupos P., Currey J.D. Changes in the stiffness, strength, and toughness of human cortical bone with age. Bone 1998, 22:57-66.
18. Chan K., Chan C., Nicolella D. Relating crack-tip deformation to mineralization and fracture resistance in human femur cortical bone. Bone 2009, 45:427-434.
19. Behiri J., Bonfield W. Orientation dependence of the fracture mechanics of cortical bone. J Biomech 1989, 22:863-867.
20. Feng Z., Rho J., Han S., Ziv I. Orientation and loading condition dependence of fracture toughness in cortical bone. Mater Sci Eng: C 2000, 11:41-46.
21. Lucksanasombool P., Higgs W., Higgs R., Swain M. Fracture toughness of bovine bone: influence of orientation and storage media. Biomaterials 2001, 22:3127-3132.
22. Vashishth D., Behiri J.C., Bonfield W. Crack growth resistance in cortical bone: concept of microcrack toughening. J Biomech 1997, 30:763-769.
23. Cuddihy M.T., Gabriel S., Crowson C., O'Fallon W., Melton Iii L. Forearm fractures as predictors of subsequent osteoporotic fractures. Osteoporosis Int 1999, 9:469-475.
24. Mallmin H., Ljunghall S., Persson I., Naessén T., Krusemo U.B., Bergström R. Fracture of the distal forearm as a forecaster of subsequent hip fracture: a population-based cohort study with 24 years of follow-up. Calcified Tissue Int 1993, 52:269-272.
25. Brown C.U., Yeni Y.N., Norman T.L. Fracture toughness is dependent on bone location-a study of the femoral neck, femoral shaft, and the tibial shaft. J Biomed Mater Res 2000, 49:380-389.
26. Nalla R.K., Kruzic J.J., Kinney J.H., Ritchie R.O. Effect of aging on the toughness of human cortical bone: evaluation by R-curves. Bone 2004, 35:1240-1246.
27. Advani S.H., Lee T.S., Martin R.B. Analysis of crack arrest by cement lines in osteonal bone. Advances in bioengineering 1987, 57-88. ASME, New York. A.G. Erdman (Ed.).
28. Hogan H.A. Micromechanics modeling of Haversian cortical bone properties. J Biomech 1992, 25:549-556.
29. Mullins L.P., McGarry J.P., Bruzzi M.S., McHugh P.E. Micromechanical modelling of cortical bone. Comput Methods Biomech Biomed Eng 2007, 10:159-169.
30. Prendergast P.J., Huiskes R. Microdamage and osteocyte-lacuna strain in bone: a microstructural finite element analysis. J Biomech Eng 1996, 118:240-246.
31. Boutroy S., Van Rietbergen B., Sornay-Rendu E., Munoz F., Bouxsein M.L., Delmas P.D. Finite element analysis based on in vivo HR-pQCT images of the distal radius is associated with wrist fracture in postmenopausal women. J Bone Miner Res 2008, 23:392-399.
32. MacNeil J.A., Boyd S.K. Bone strength at the distal radius can be estimated from high-resolution peripheral quantitative computed tomography and the finite element method. Bone 2008, 42:1203-1213.
33. Melton L.J., Riggs B.L., van Lenthe G.H., Achenbach S.J., Müller R., Bouxsein M.L., et al. Contribution of in vivo structural measurements and load/strength ratios to the determination of forearm fracture risk in postmenopausal women. J Bone Miner Res 2007, 22:1442-1448.
34. Pistoia W., van Rietbergen B., Lochmüller E.M., Lill C.A., Eckstein F., Rüegsegger P. Estimation of distal radius failure load with micro-finite element analysis models based on three-dimensional peripheral quantitative computed tomography images. Bone 2002, 30:842-848.
35. Ural A., Vashishth D. Cohesive finite element modeling of age-related toughness loss in human cortical bone. J Biomech 2006, 39:2974-2982.
36. Ural A., Vashishth D. Effects of intracortical porosity on fracture toughness in aging human bone: a microCT-based cohesive finite element study. J Biomech Eng 2007, 129:625-631.
37. Ural A., Vashishth D. Anisotropy of age-related toughness loss in human cortical bone: a finite element study. J Biomech 2007, 40:1606-1614.
38. Yang Q.D., Cox B.N., Nalla R.K., Ritchie R.O. Fracture length scales in human cortical bone: the necessity of nonlinear fracture models. Biomaterials 2006, 27:2095-2113.
39. Mischinski S, Ural A. The effect of cement line properties and crack orientation on crack propagation in cortical bone. In: ASME 2009 summer bioengineering conference. Lake Tahoe (CA); 2009.
40. Fan Z., Swadener J.G., Rho J.Y., Roy M.E., Pharr G.M. Anisotropic properties of human tibial cortical bone as measured by nanoindentation. J Orthop Res 2002, 20:806-810.
41. Yoon Y., Cowin S. An estimate of anisotropic poroelastic constants of an osteon. Biomech Model Mechanobiol 2008, 7:13-26.
42. Vashishth D., Behiri J., Bonfield W. Crack growth resistance in cortical bone: concept of microcrack toughening. J Biomech 1997, 30:763-769.
43. Martin R.B., Burr D.B., Sharkey N.A. Skeletal tissue mechanics 1998, Springer-Verlag, New York.
44. Reilly D.T., Burstein A.H. The elastic and ultimate properties of compact bone tissue. J Biomech 1975, 8:393-405.
45. ASTM. E399-90 standard test method for plane-strain fracture toughness of metallic materials. Philadelphia: American Society for Testing and Materials; 2000.
46. Buchanan D., Ural A. Finite element modeling of the influence of hand position and bone properties on the colles' fracture load during a fall. J Biomech Eng 2010, 132:081007.
47. Ural A. Prediction of Colles' fracture load in human radius using cohesive finite element modeling. J Biomech 2009, 42:22-28.
48. Hsu E.S., Patwardhan A.G., Meade K.P., Light T.R., Martin W.R. Cross-sectional geometrical properties and bone mineral contents of the human radius and ulna. J Biomech 1993, 26:1307-1318.
49. Augat P., Iida H., Jiang Y., Diao E., Genant H.K. Distal radius fractures: mechanisms of injury and strength prediction by bone mineral assessment. J Orthop Res 1998, 16:629-635.
50. Myers E.R., Sebeny E.A., Hecker A.T., Corcoran T.A., Hipp J.A., Greenspan S.L., et al. Correlations between photon absorption properties and failure load of the distal radius in vitro. Calcif Tissue Int 1991, 49:292-297.
51. Tvergaard V., Hutchinson J.W. The relation between crack growth resistance and fracture process parameters in elastic-plastic solids. J Mech Phys Solids 1992, 40:1377-1397.
52. Alfano M., Furgiuele F., Leonardi A., Maletta C., Paulino G. Mode I fracture of adhesive joints using tailored cohesive zone models. Int J Fract 2009, 157:193-204.
53. Song SH, Paulino GH, Buttlar WG. Influence of the cohesive zone model shape parameter on asphalt concrete fracture behavior. In: Multiscale and functionally graded materials AIP conference proceedings, Oahu Island; 2008. p. 730-5.
54. Volokh K.Y. Comparison between cohesive zone models. Commun Numer Methods Eng 2004, 20:845-856.
55. Camanho P.P., Davila C.G., de Moura M.F. Numerical simulation of mixed-mode progressive delamination in composite materials. J Compos Mater 2003, 37:1415-1438.
56. Bigley R.F., Griffin L.V., Christensen L., Vandenbosch R. Osteon interfacial strength and histomorphometry of equine cortical bone. J Biomech 2006, 39:1629-1640.
57. Dong X.N., Zhang X., Guo X.E. Interfacial strength of cement lines in human cortical bone. Mech Chem Biosyst 2005, 2:63-68.
58. Frasca P. Scanning-electron microscopy studies of 'ground substance' in the cement lines, resting lines, hypercalcified rings and reversal lines of human cortical bone. Acta Anat. 1981, 109:115-121.
59. Vashishth D, Wu P, Gibson GJ. Age-related loss in bone: toughness is explained by non-enzymatic glycation in collagen. In: Annual meeting of the orthopaedic research society. San Francisco (CA); 2004. p. 497.
60. Davies J.E. Bone bonding at natural and biomaterial surfaces. Biomaterials 2007, 28:5058-5067.