Micro-CT finite element model and experimental validation of trabecular bone damage and fracture

Bone

Volumn 56, Issue 2, 2013, Pages 363-374

  Hambli, Ridha ^a  

^a MMH   (France)

Author keywords

Apparent stress strain at fracture; Damage law; Experimental validation; Micro CT finite element damage modeling; Trabecular bone fracture

Indexed keywords

AGED; ARTICLE; BONE STRESS; BONE TISSUE; COMPRESSION; CONTROLLED STUDY; FEMALE; FEMUR; FINITE ELEMENT ANALYSIS; FRACTURE; HUMAN; HUMAN TISSUE; MALE; MATHEMATICAL MODEL; MICRO-COMPUTED TOMOGRAPHY; PREDICTION; SENSITIVITY ANALYSIS; SIMULATION; TRABECULAR BONE; VALIDATION STUDY;

APPARENT STRESS/STRAIN AT FRACTURE; DAMAGE LAW; EXPERIMENTAL VALIDATION; MICRO-CT FINITE ELEMENT DAMAGE MODELING; TRABECULAR BONE FRACTURE;

COMPRESSIVE STRENGTH; FINITE ELEMENT ANALYSIS; FRACTURES, BONE; HUMANS; MODELS, THEORETICAL; X-RAY MICROTOMOGRAPHY;

EID: 84880943524     PISSN: 87563282     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.bone.2013.06.028     Document Type: Article

References (75)

1. Eswaran S.K., Gupta A., Adams M.F., Keaveny T.M. Cortical and trabecular load sharing in the human vertebral body. J Bone Miner Res 2006, 21(2):307-314.
2. Niebur G.L., Feldstein M.J., Yuen J.C., Chen T.J., Keaveny T.M. High-resolution finite element models with tissue strength asymmetry accurately predict failure of trabecular bone. J Biomech 2000, 33:1575-1583.
3. Stölken J.S., Kinney J.H. On the importance of geometric nonlinearity in finite-element simulations of trabecular bone failure. Bone 2003, 33:494-504.
4. Bayraktar H.H., Keaveny T.M. A computational investigation of the nonlinear behavior of human trabecular bone. Transactions of the 12th annual Pre-ORS Symposium on Computational Methods in Orthopaedic Biomechanics 2004, 2.
5. van Rietbergen B., Ulrich D., Pistoia W., Huiskes R., Ruegsegger P. Prediction of trabecular bone failure parameters using a tissue failure criterion. Trans Orthop Res Soc 1998, 23:550.
6. Kinney J.H., Stölken J.S. The importance of geometric nonlinearity in finite element studies of yielding in trabecular bone. Trans Orthop Res Soc 2005, 28:28.
7. Verhulp E., Van Rietbergen B., Müller R., Huiskes R. Micro-finite element simulation of trabecular-bone post-yield behaviour - effects of material model, element size and type. Comput Methods Biomech Biomed Engin 2008, (4):389-395.
8. Bevill G., Eswaran S.K., Gupta A., Papadopoulos P., Keaveny T.M. Influence of bone volume fraction and architecture on computed large-deformation failure mechanisms in human trabecular bone. Bone 2006, 39(6):1218-1225.
9. Ural A., Vashishth D. Anisotropy of age-related toughness loss in human cortical bone: a finite element study. J Biomech 2007, 40:1606-1614.
10. Yang D., Cox N., Nalla K., Ritchie O. Re-evaluating the toughness of human cortical bone. Bone 2006, 38:878-887.
11. Nalla K., Kruzic J., Kinney H., Ritchie O. Mechanistic aspects of fracture and R-curve behavior in human cortical bone. Biomaterials 2005, 26:217-231.
12. Vashishth D. Rising crack-growth-resistance behavior in cortical bone: implications for toughness measurements. J Biomech 2004, 37:943-946.
13. Malik L., Stover M., Martin B., Gibeling C. Equine cortical bone exhibits rising R-curve fracture mechanics. J Biomech 2003, 36:191-198.
14. Budyn E., Hoc T., Jonvaux J. Fracture strength assessment and aging signs detection in human cortical bone using an X-FEM multiple scale approach. Comput Mech 2008, 42:579-591.
15. Tomar V. Modeling of dynamic fracture and damage in two-dimensional trabecular bone microstructures using the cohesive finite element method. J Biomech Eng 2008, 130(2):021021.
16. Abdel-Wahab A.A., Silberschmidt V.V. Numerical modeling of impact fracture of cortical bone tissue using X-FEM. J Theor Appl Mech 2011, 49(3):599-619.
17. Keaveny T.M., Wachtel E.F., Ford C.M., Hayes W.C. Differences between the tensile and compressive strengths of bovine tibial trabecular bone depend on modulus. J Biomech 1994, 27:1137-1146.
18. Currey J.D. Bones: structure and mechanics 2002, Princeton University Press, Princeton.
19. Bayraktar H.H., Morgan E.F., Niebur G.L., Morris G.E., Wong E.K., Keaveny T.M. Comparison of the elastic and yield properties of human femoral trabecular and cortical bone tissue. J Biomech 2004, 37(1):27-35.
20. Harrison N.M., McDonnell P., Mullins L., Wilson N., O'Mahoney D., McHugh P.E. Failure modelling of trabecular bone using a non-linear combined damage and fracture voxel finite element approach. Biomech Model Mechanobiol 2012, 1-17. 10.1007/s10237-012-0394-7.
21. Nazarian A., von Stechow D., Zurakowski D., Müller R., Snyder B.D. Bone volume fraction explains the variation in strength and stiffness of cancellous bone affected by metastatic cancer and osteoporosis. Calcif Tissue Int 2008, 83(6):368-379.
22. Lemaitre J. A continuous damage mechanics model for ductile fracture. J Eng Mater Technol 1985, 107:83-89.
23. Hambli R. Multiscale prediction of crack density and crack length accumulation in trabecular bone based on neural networks and finite element simulation. Int J Numer Methods Biomed Eng 2011, 27(4):461-475.
24. Hambli R. Apparent damage accumulation in cancellous bone using neural networks. J Mech Behav Biomed Mater 2011, 4(6):868-878.
25. Hambli A quasi-brittle continuum damage finite element model of the human proximal femur based on element deletion. Med Biol Eng Comp 2012, 51(1-2):219-231.
26. Reilly D.T., Burstein A.H. The elastic and ultimate properties of compact bone tissue. J Biomech 1975, 8(6):393-405.
27. Kaneko T.S., Pejcic M.R., Tehranzadeh J., Keyak J.H. Relationships between material properties and CT scan data of cortical bone with and without metastatic lesions. Med Eng Phys 2003, 25(6):445-454.
28. Natali A., Carniel E., Pavan P. Constitutive modelling of inelastic behaviour of cortical bone. Med Eng Phys 2008, 30(7):905-912.
29. Garcia D., Zysset P., Charlebois M., Curnier A. A three-dimensional elastic plastic damage constitutive law for bone tissue. Biomech Model Mechanobiol 2009, 8(2):149-165.
30. Hosseini H.S., Pahr D.H., Zysset P.K. Modeling and experimental validation of trabecular bone damage, softening and densification under large compressive strains. J Mech Behav Biomed Mater 2012, 15:93-102.
31. Currey J.D. Physical characteristics affecting the tensile failure properties of compact bone. J Biomech 1990, 23(8):837-844.
32. Kotha S.P., Guzelsu N. Tensile damage and its effects on cortical bone. J Biomech 2003, 36(11):1683-1689.
33. Keaveny T.M., Wachtel E.F., Kopperdahl D.L. Mechanical behavior of human trabecular bone after overloading. J Orthop Res 1999, 17:346-353.
34. Keaveny T.M., Morgan E.F., Niebur G.L., Yeh O.C. Biomechanics of trabecular bone. Annu Rev Biomed Eng 2001, 3:307-333.
35. Nagaraja S., Couse T.L., Guldberg R.E. Trabecular bone microdamage and microstructural stresses under uniaxial compression. J Biomech 2005, 38:707-716.
36. Parsamian G.P. Damage mechanics of human cortical bone 2002, Phd Thesis, College of Engineering and Mineral Resources, West Virginia University.
37. Bevill G., Farhamand F., Keaveny T.M. Heterogeneity of yield strain in low-density versus high-density human trabecular bone. J Biomech 2009, 42(13):2165-2170.
38. Kabel J., van Rietbergen B., Dalstra M., Odgaard A., Huiskes R. The role of an elective isotropic tissue modulus in the elastic properties of cancellous bone. J Biomech 1999, 32:673-680.
39. Chaboche J.L. A review of some plasticity and viscoplasticity constitutive theories. Int J Plast 2008, 24(10):1642-1693.
40. Wolfram U., Wilke H.J., Zysset P.K. Damage accumulation in vertebral trabecular bone depends on loading mode and direction. J Biomech 2011, 44(6):1164-1169. (7).
41. 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.
42. Arthur Moore T.L., Gibson L.J. Microdamage accumulation in bovine trabecular bone in uniaxial compression. J Biomech Eng 2002, 124(1):63-71.
43. Huang Z., Ryu W., Ren P., Fasching R., Goodman S.B. Controlled release of growth factors on allograft bone in vitro. Clin Orthop Relat Res 2008, 466:1905-1911.
44. Jungmann R., Szabo M.E., Schitter G., Tang R.Y., Vashishth D., Hansma P.K., et al. Local strain and damage mapping in single trabeculae during three-point bending tests. J Mech Behav Biomed Mater 2011, 4(4):523-534.
45. Taylor D., Lee T.C. A crack growth model for the simulation of fatigue in bone. Int J Fatigue 2003, 2:387-395.
46. O'Brien F.J., Taylor D., Lee T.C. An improved labelling technique for monitoring microcrack growth in compact bone. J Biomech 2002, 35(4):523-526.
47. 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(6):1203-1213.
48. Wang X., Zauel R., Fyhrie D.P. Postfailure modulus strongly affects microcracking and mechanical property change in human iliac cancellous bone: a study using a 2D nonlinear finite element method. J Biomech 2008, 41:2654-2658.
49. Saanouni K., Chaboche J.L., Lesne P.M. On the creep crack-growth prediction by a non local damage formulation. Eur J Mech A/Solids 1989, 8:437-459.
50. Murakami S., Liu Y. Mesh-dependence in local approach to creep fracture. Int J Damage Mech 1995, 4:230-250.
51. de Vree J.H.P., Brekelmans W.A.M., van Gils M.A.J. Comparison of nonlocal approaches in continuum damage mechanics. Comp Struct 1995, 55:581-588.
52. Lallit A., Ozgur A., Shawn A.C. A large-deformation gradient theory for elastic-plastic materials: strain softening and regularization of shear bands. Int J Plast 2012, 30-31:116-143.
53. Abaqus (6.11) Documentation, analysis user's manual 2012.
54. Burr D.B., Stafford T. Validity of the bulk-staining technique to separate artifactual from in vivo bone microdamage. Clin Orthop Relat Res 1990, 260:305-308.
55. Sobelman O.S., Gibeling J.C., Stover S.M., Hazelwood S.J., Yeh O.C., Shelton D.R., et al. Do microcracks decrease or increase fatigue resistance in cortical bone?. J Biomech 2004, 37(9):1295-1303.
56. Dendorfer S., Maier H.J., Hammer J. Anisotropy of the fatigue behaviour of cancellous bone. J Biomech 2008, 41(3):636-641.
57. Morgan E.F., Keaveny T.M. Dependence of yield strain of human trabecular bone on anatomic site. J Biomech 2001, 34:569-577.
58. Gassara F., Hambli R., Bouraoui T., El Halouani F., Soulat D. Optimization of springback in L-bending process using a coupled Abaqus/Python algorithm. Int J Adv Manuf Technol 2009, 44(1/2):61-67.
59. Green J.O., Wang J., Diab T., Vidakovic B., Guldberg R.E. Age-related differences in the morphology of microdamage propagation in trabecular bone. J Biomech 2011, 44(15):2659-2666.
60. Cox L.G., van Rietbergen B., van Donkelaar C.C., Ito K. Analysis of bone architecture sensitivity for changes in mechanical loading, cellular activity, mechanotransduction, and tissue properties. Biomech Model Mechanobiol 2011, 10(5):701-712.
61. Homminga J., Van-Rietbergen B., Lochmueller E.-M., Weinans H., Eckstein F., Huiskes R. The osteoporotic vertebral structure is well adapted to the loads of daily life, but not to infrequent "error" loads. Bone 2004, 34(3):510-516.
62. Hernandez C.J., Gupta A., Keaveny T.M. A biomechanical analysis of the effects of resorption cavities on cancellous bone strength. J Bone Miner Res 2006, 21(8):1248-1255.
63. Morgan E.F., Yeh O.C., Keaveny T.M. Damage in trabecular bone at small strains. Eur J Morphol 2005, 42(1-2):13-21.
64. Martin R.B., Burr D.R., Sharkey N.A. Skeletal tissue mechanics 1998, Springer, New York.
65. Hernandez C.J., Beaupré G.S., Keller T.S., Carter D.R. The influence of bone volume fraction and ash fraction on bone strength and modulus. Bone 2001, 29(1):74-78.
66. Sanyal A., Gupta A., Bayraktar H.H., Kwon R.Y., Keaveny T.M. Shear strength behavior of human trabecular bone. J Biomech 2012, 45(15):2513-2519.
67. Lotz J.C., Hayes W.C. The use of quantitative computed tomography to estimate risk of fracture of the hip from falls. J Bone Joint Surg Am 1990, 72(5):689-700.
68. Kopperdahl D.L., Keaveny T.M. Yield strain behavior of trabecular bone. J Biomech 1998, 31:601-608.
69. Rohl L., Larsen E., Linde F., Odgaard A., Jorgensen J. Tensile and compressive properties of cancellous bone. J Biomech 1991, 24:1143-1149.
70. Hou F.J., Lang S.M., Hoshaw S.J., Reimann D.A., Fyhrie D.P. Human vertebral body apparent and hard tissue stiffness. J Biomech 1998, 31:1009-1015.
71. Perilli E., Baleani M., Ohman C., Fognani R., Baruffaldi F., Viceconti M. Dependence of mechanical compressive strength on local variations in microarchitecture in cancellous bone of proximal human femur. J Biomech 2008, 41(2):438-446.
72. Morgan E.F., Yeh O.C., Chang W.C., Keaveny T.M. Nonlinear behavior of trabecular bone at small strains. J Biomech Eng 2001, 123(1):1-9.
73. Carter D.R., Hayes W.C. 1977, the compressive behavior of bone as a two-phase porous structure. J Bone Joint Surg Am 1977 Oct, 59(7):954-962.
74. Fondrk M.T., Bahniuk E.H., Davy D.T., Michaels C. Some viscoplastic characteristics of bovine and human cortical bone. J Biomech 1988, 21(8):623-630.
75. Fondrk M.T., Bahniuk E.H., Davy D.T. Inelastic strain accumulation in cortical bone during rapid transient tensile loading. J Biomech Eng 1999, 121:616-621.