Finite element prediction with experimental validation of damage distribution in single trabeculae during three-point bending tests

Journal of the Mechanical Behavior of Biomedical Materials

Volumn 27, Issue , 2013, Pages 94-106

  Ridha, Hambli ^a   Thurner, Philipp J ^b  

^a Institut PRISME/Equipe MMH   (France)

^b School Engineering Sciences   (United Kingdom)

Author keywords

Bending test; Damage law; Finite element; Stress whitening; Trabecular bone; Validation

Indexed keywords

DAMAGE INITIATION AND GROWTHS; DAMAGE LAW; DIGITAL IMAGE CORRELATIONS; FINITE-ELEMENT PREDICTIONS; STRESS WHITENING; TRABECULAR BONES; TRABECULAR MICRO-ARCHITECTURE; VALIDATION;

BENDING TESTS; BIOMECHANICS; BONE; COMPUTER ARCHITECTURE; COMPUTER SIMULATION; CONTINUUM DAMAGE MECHANICS; FRACTURE; IMAGING TECHNIQUES; MECHANICAL PROPERTIES; RISK ASSESSMENT; STRUCTURAL ANALYSIS; TISSUE;

FINITE ELEMENT METHOD;

ARTICLE; BIOMECHANICS; BONE DESTRUCTION; BONE INJURY; BONE TISSUE; COMPRESSION; FINITE ELEMENT ANALYSIS; PREDICTION; PRIORITY JOURNAL; SHEAR STRESS; TRABECULAR BONE; VALIDATION STUDY;

BENDING TEST; DAMAGE LAW; FINITE ELEMENT; STRESS WHITENING; TRABECULAR BONE; VALIDATION;

ANIMALS; BONE AND BONES; CATTLE; FINITE ELEMENT ANALYSIS; MATERIALS TESTING; MECHANICAL PROCESSES; STRESS, MECHANICAL; WEIGHT-BEARING;

EID: 84884283693     PISSN: 17516161     EISSN: 18780180     Source Type: Journal    
DOI: 10.1016/j.jmbbm.2013.07.005     Document Type: Article

References (77)

1. Abaqus (6.11), 2012. Documentation, Analysis User's Manual.
2. Abdel-Wahab A.A., Silberschmidt V.V. Numerical modeling of impact fracture of cortical bone tissue using X-FEM. Journal of Theoretical and Applied Mechanics 2011, 49(3):599-619.
3. Arthur Moore T., Gibson L. Microdamage accumulation in bovine trabecular in uniaxial compression. Journal of Biomaterials 2002, 124:63-71.
4. Barkaoui A., Bettamer A., Hambli R. Failure of mineralized collagen microfibrils using finite element simulation coupled to mechanical quasi-brittle damage. Procedia Engineering 2011, 10:3185-3190.
5. 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. Journal of Biomechanics 2004, 37(1):27-35.
6. Baselt D.R., Revel J.P., Baldschwieler J.D. Subfibrillar structure of type I collagen observed by atomic force microscopy. Biophysical Journal 1993, 65:2644-2655.
7. Bevill G., Farhamand F., Keaveny T.M. Heterogeneity of yield strain in low-density versus high-density human trabecular bone. Journal of Biomechanics 2009, 42(13):2165-2170.
8. 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(4):337-345.
9. Burstein A., Reilly D., Frankel V. Perspectives in Biomedical Engineering 1973, 131-134. Macmillan, London, Chapter Failure Characteristics of Bone and Bone Tissue.
10. Budyn E., Hoc T., Jonvaux J. Fracture strength assessment and aging signs detection in human cortical bone using an X-FEM multiple scale approach. Computational Mechanics 2008, 42:579-591.
11. Chaboche J.L. Continuum damage mechanics: a tool to describe phenomena before crack initiation. Nuclear Engineering and Design 1981, 64:233-247.
12. Carter D.L., Caler W.E. A cumulative damage model for bone fracture. Journal of Orthopaedic Research 1985, 1:84-90.
13. Catanese, J., Bank, R., Tekoppele, J., Keaveny, T., 1999. Increased crosslinking by non-enzymatic glycation reduces the ductility of bone and bone collagen. In: Proceedings of the American Society for Mechanical Engineering Bioengineering Conference. 42. pp. 267-268.
14. Currey J., Brear K. Tensile yield in bone. Calcified Tissue Research 1974, 15:173-179.
15. Currey J.D. Physical characteristics affecting the tensile failure properties of compact bone. Journal of Biomechanics 1990, 23(8):837-844.
16. Currey J.D., Zioupos P., Sedman A. Biomimetics: Design and Processing of Materials 1995, AIP Press, Woodbury, NY, Chapter Microstructure-property relations in vertebrate bony hard tissues: Microdamage and toughness.
17. Currey J.D. Bones: Structure and Mechanics 2002, Princeton University Press, Princeton.
18. de Vree J.H.P., Brekelmans W.A.M., van Gils M.A.J. Comparison of nonlocal approaches in continuum damage mechanics. Computers and Structures 1995, 55:581-588.
19. Fondrk M.T., Bahniuk E.H., Davy D.T., Michaels C. Some viscoplastic characteristics of bovine and human cortical bone. Journal of Biomechanics 1988, 21(8):623-630.
20. Fondrk M.T., Bahniuk E.H., Davy D.T. Inelastic strain accumulation in cortical bone during rapid transient tensile loading. Journal of Biomechanical Engineering 1999, 121:616-621.
21. Garcia D., Zysset P., Charlebois M., Curnier A. A three-dimensional elastic plastic damage constitutive law for bone tissue. Biomechanics and Modeling in Mechanobiology 2009, 8(2):149-165.
22. Gelse K., Poschl E., Aigner T. Collagens-structure, function, and biosynthesis. Advanced Drug Delivery Reviews 2003, 55(12):1531-1546.
23. Gere J.M., Timoshenko S.P. Mechanics of Materials 1991, Chapman and Hall, London.
24. Gupta H.S., Wagermaier W., Zickler G.A., Aroush D.R.B., Funari S.S., Roschger P., Wagner H.D., Fratzl P. Nanoscale deformation mechanisms in bone. Nano Letters 2005, 5(10):2108-2111.
25. Hambli R., Bettamer A., Allaoui S. Finite element prediction of proximal femur fracture pattern based on orthotropic behaviour law coupled to quasi-brittle damage. Medical Engineering and Physics 2012, 34(2):202-210.
26. Hambli R., Lespessailles E., Benhamou C.L. Integrated remodeling-to-fracture finite element model of human proximal femur behaviour. Journal of the Mechanical Behavior of Biomedical Materials 2013, 17:89-106.
27. Hambli R., Barkaoui A. Physically based 3D finite element model of a single mineralized collagen microfibril. Journal of Theoretical Biology 2012, 30:128-141.
28. 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.
29. 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. Biomechanics and Modeling in Mechanobiology 2013, 1-17. 10.1007/s10237-012-0394-7.
30. Hosseini H.S., Pahr DH., 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. Jepsen K.J., Davy D.T. Comparison of damage accumulation measures in human cortical bone. Journal of Biomechanics 1997, 9:891-894.
32. Jungmann, R., 2006. Direct Micro- and Nanoscale Failure Visualization in the Nanocomposite Bone. Master's Thesis. University of California, Santa Barbara.
33. Jungmann R., Szabo M.E., Schitter G., Tang R.Y., Vashishth D., Hansma P.K., Thurner P.J. Local strain and damage mapping in single trabeculae during three-point bending tests. Journal of the Mechanical Behavior of Biomedical Materials 2011, 4(4):523-534.
34. 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. Journal of Biomechanics 1999, 32:673-680.
35. 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. Medical Engineering and Physics 2003, 25(6):445-454.
36. 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. Journal of Biomechanics 1994, 27:1137-1146.
37. Keaveny T.M., Wachtel E.F., Kopperdahl D.L. Mechanical behavior of human trabecular bone after overloading. Journal of Orthopaedic Research 1999, 17:346-353.
38. Keaveny T.M., Morgan E.F., Niebur G.L., Yeh O.C. Biomechanics of trabecular bone. Annual Review of Biomedical Engineering 2001, 3:307-333.
39. Knott L., Bailey A.J. Collagen cross-links in mineralizing tissues: a review of their chemistry, function, and clinical relevance. Bone 1998, 22(3):181-187.
40. Kotha S.P., Guzelsu N. Tensile damage and its effects on cortical bone. Journal of Biomechanics 2003, 36(11):1683-1689.
41. Lemaitre J. A continuous damage mechanics model for ductile fracture. Journal of Engineering Materials and Technology 1985, 107:83-89.
42. Lotz J.C., Gerhart T.N., Hayes W.C. Mechanical properties of trabecular bone from the proximal femur: a quantitative CT study. Journal of Computer Assisted Tomography 1990, 14(1):107-114.
43. 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.
44. Malik L., Stover M., Martin B., Gibeling C. Equine cortical bone exhibits rising R-curve fracture mechanics. Journal of Biomechanics 2003, 36:191-198.
45. Martin R.B., Stover S.M., Gibson V.A., Gibeling J.C., Griffin L.V. In vitro fatigue behavior of the equine third metacarpus: remodeling and microcrack damage analysis. Journal of Orthopaedic Research 1996, 14:794-801.
46. McNamara L.M., Ederveen A.G., Lyons C.G., Price C., Schaffler M.B., Weinans H., Prendergast P.J. Strength of cancellous bone trabecular tissue from normal, ovariectomized and drug-treated rats over the course of ageing. Bone 2006, 39(2):392-400.
47. McNamara L.M., Van der Linden J.C., Weinans H., Prendergast P.J. Stress-concentrating effect of resorption lacunae in trabecular bone. Journal of Biomechanics 2006, 39(4):734-741.
48. Morgan E.F., Lee J.J., Keaveny T.M. Sensitivity of multiple damage parameters to compressive overload in cortical bone. Journal of Biomechanical Engineering 2005, 127(4):557-562.
49. Murakami S., Liu Y. Mesh-dependence in local approach to creep fracture. International Journal of Damage Mechanics 1995, 4:230-250.
50. Nagaraja S., Couse T.L., Guldberg R.E. Trabecular bone microdamage and microstructural stresses under uniaxial compression. Journal of Biomechanics 2005, 38:707-716.
51. 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.
52. 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.
53. Natali A., Carniel E., Pavan P. Constitutive modelling of inelastic behaviour of cortical bone. Medical Engineering and Physics 2008, 30(7):905-912.
54. 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. Journal of Biomechanics 2000, 33(12):1575-1583.
55. Parsamian G.P. Damage Mechanics of Human Cortical Bone 2002, College of Engineering and Mineral Resources, West Virginia University, Ph.d. thesis.
56. Raspanti M, Congiu T, Guizzardi S Tapping-mode atomic force microscopy in fluid of hydrated extracellular matrix. Matrix Biology 2001, 20:601-604.
57. Reilly D.T., Burstein A.H. The elastic and ultimate properties of compact bone tissue. Journal of Biomechanics 1975, 8(6):393-405.
58. 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.
59. Saanouni K., Chaboche J.L., Lesne P.M. On the creep crack-growth prediction by a non local damage formulation. European Journal of Mechanics-A/Solids 1989, 8:437-459.
60. Saito M., Marumo K. Collagen cross-links as a determinant of bone quality: a possible explanation for bone fragility in aging, osteoporosis, and diabetes mellitus. Osteoporosis International 2009, 21(2):195-214.
61. Sasaki N., Odajima S. Elongation mechanism of collagen fibrils and force-strain relations of tendon at each level of structural hierarchy. Journal of Biomechanics 1996, 29(9):1131-1136.
62. Schaffler M.B., Choi K., Milgrom C. Aging and matrix microdamage accumulation in human compact bone. Bone 1995, 17(6):521-525.
63. 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.
64. Taylor D., Lee T.C. A crack growth model for the simulation of fatigue in bone. International Journal of Fatigue 2003, 2:387-395.
65. Thurner P.J., Erickson B., Jungmann R., Schriock Z., Weaver J.C., Fantner G.E., Schitter G., Morse D.E., Hansma P.K. High-speed photography of compressed human trabecular bone correlates whitening to microscopic damage. Engineering Fracture Mechanics 2006, 74:1928-1941.
66. Thurner P.J., Erickson B., Schriock Z., Langan J., Scott J., Zhao M., Weaver J.C., Fantner G.E., Turner P., Kindt J.H., Schitter G., Morse D.E., Hansma P.K. High-speed photography of the development of microdamage in trabecular bone during compression. Journal of Materials Research 2006, 21:1093-1100.
67. Thurner P.J., Erickson B., Jungmann R., Schriock Z., Weaver J.C., Fantner G.E., Schitter G., Morse D.E., Hansma P.K. High-speed photography of compressed human trabecular bone correlates whitening to microscopic damage. Engineering Fracture Mechanics 2007, 74(12):1928-1941.
68. Tomar V. Modeling of dynamic fracture and damage in two-dimensional trabecular bone microstructures using the cohesive finite element method. Journal of Biomechanical Engineering 2008, 130(2):021021.
69. Vashishth D.J., Koontz Qiu S., Cannon-Lundin D., Yeni Y.N., Schaffler M.B., Fyhrie D.P. In vivo diffuse damage in human trabecular bone. Bone 2000, 26(2):147-152.
70. Vashishth D. Rising crack-growth-resistance behavior in cortical bone: implications for toughness measurements. Journal of Biomechanics 2004, 37(6):943-946.
71. Vashishth D., Wu P., Gibson G. Age-related loss in bone toughness is explained by non-enzymatic glycation of collagen. Transactions of the Orthopaedic Research Society 2004, 29.
72. Verhulp E., van Rietbergen B., Müller R., Huiskes R. Indirect determination of trabecular bone effective tissue failure properties using micro-finite element simulations. Journal of Biomechanics 2008, 41(7):1479-1485.
73. Viguet-Carrin S., Roux J.P., Arlot M.E., Merabet Z., Leeming D.J., Byrjalsen I., Delmas P.D., Bouxsein M.L. Contribution of the advanced glycation end product pentosidine and of maturation of type I collagen to compressive biomechanical properties of human lumbar vertebrae. Bone 2006, 39:1073-1079.
74. Weiner S., Traub W. Bone structure: from angstroms to microns. FASEB Journal 1992, 6:879-885.
75. Wolfram U., Wilke H.J., Zysset P.K. Damage accumulation in vertebral trabecular bone depends on loading mode and direction. Journal of Biomechanics 2011, 44(6):1164-1169.
76. Yang D., Cox N., Nalla K., Ritchie O. Re-evaluating the toughness of human cortical bone. Bone 2006, 38:878-887.
77. Zioupos P., Currey J.D., Mirza M.S., Barton D.C. Experimentally determined microcracking around a circular hole in a flat-plate of bone-comparison with predicted stresses. Philosophical Transactions of the Royal Society of London Series B-Biological Sciences 1995, 347(1322):383-396.