Micro-finite element analysis of trabecular bone yield behavior - Effects of tissue nonlinear material properties

Journal of Mechanics in Medicine and Biology

Volumn 11, Issue 3, 2011, Pages 563-580

  Gong, He ^a,b,c   Zhang, Ming ^c   Fan, Yubo ^b  

^a Key Laboratory for Biomechanics and Mechanobiology of Ministry of Education   (China)

^b BEIHANG UNIVERSITY   (China)

^c HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

Apparent level; Bilinear constitutive relationship; Micro finite element analysis; Tissue level; Trabecular bone

Indexed keywords

EID: 80052989472     PISSN: 02195194     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219519411004010     Document Type: Article

References (38)

1. van der Meulen MC, Jepsen KJ, Mikic B, Understanding bone strength: size isn't everything, Bone 29:101-104, 2001. (Pubitemid 32734489)
2. Homminga J, McCreadie BR, Ciarelli TE, Weinans H, Goldstein SA, Huiskes R, Cancellous bone mechanical properties from normals and patients with hip fractures differ on the structural level, not on the bone hard tissue level, Bone 30(5):759-764, 2002. (Pubitemid 34467999)
3. van Rietbergen B, Majumdar S, Newitt D, MacDonald B, High-resolution MRI and micro-FE for the evaluation of changes in bone mechanical properties during longitudinal clinical trials: application to calcaneal bone in postmenopausal women after one year of idoxifene treatment, Clin Biomech 17:81-88, 2002. (Pubitemid 34097755)
4. Boutroy S, van Rietbergen B, Sornay-Rendu E, Munoz F, Bouxsein ML, Delmas PD, 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 23(3):392-399, 2008. (Pubitemid 351304669)
5. Gong H, Zhang M, Qin L, Micro-finite element analysis of bone, In Leung KS, Qin YX, Cheung WH, Qin L (eds.), A Practical Manual for Musculoskeletal Research, World Scientific Publishing Company, pp. 671-690, 2008.
6. Kabel J, van Rietbergen B, Odgaard A, Huiskes R, Constitutive relationships of fabric, density, and elastic properties in cancellous bone architecture, Bone 25(4):481-486, 1999. (Pubitemid 29424243)
7. Morgan EF, Bayraktar HH, Keaveny TM, Trabecular bone modulus-density relationships depend on anatomic site, J Biomech 36:897-904, 2003. (Pubitemid 36566627)
8. Gong H, Zhang M, Qin L, Hou YJ, Regional variations in the apparent and tissuelevel mechanical parameters of vertebral trabecular bone with aging using micro-finite element analysis, Ann Biomed Eng 35(9):1622-1631, 2007. (Pubitemid 350092437)
9. Gong H, Zhang M, Qin L, Mechanical properties of vertebral trabeculae with aging evaluated with microCT, In Qin L, Genant HK, Griffith J, Leung KS (eds.), Advanced Bioimaging Technologies in Assessment of the Quality of Bone and Scaffold Materials, Springer Verlag, Berlin, pp. 463-474, 2007.
10. Judex S, Boyd S, Qin YX, Turner S, Ye K, Müller R et al., Adaptations of trabecular bone to low magnitude vibrations result in more uniform stress and strain under load, Ann Biomed Eng 31:12-20, 2003.
11. Stolken JS, Kinney JH, On the importance of geometric nonlinearity in finite-element simulations of trabecular bone failure, Bone 33(4):494-504, 2003. (Pubitemid 37222375)
12. Bayraktar HH, Keaveny TM, A computational investigation of the nonlinear behavior of human trabecular bone, in Transactions of the 12th Annual Pre-ORS Symposium on Computational Methods in Orthopaedic Biomechanics, Vol. 2, 2004.
13. Morgan EF, Bayraktar HH, Yeh OC, Majumdar S, Burghardt A, Keaveny TM, Contribution of inter-site variations in architecture to trabecular bone apparent yield strains, J Biomech 37:1413-1420, 2004. (Pubitemid 38953251)
14. Bayraktar HH, Morgan EF, Niebur GL, Morris GE, Wong EK, Keaveny TM, Comparison of the elastic and yield properties of human femoral trabecular and cortical bone tissue, J Biomech 37:27-35, 2004. (Pubitemid 37532626)
15. Niebur GL, Feldstein MJ, Yuen JC, Chen TJ, Keaveny TM, High-resolution finite element models with tissue strength asymmetry accurately predict failure of trabecular bone, J Biomech 33:1575-1583, 2000.
16. Verhulp E, van Rietbergen B, Müller R, Huiskes R, Indirect determination of trabecular bone effective tissue failure properties using micro-finite element simulations, J Biomech 41:1479-1485, 2008.
17. Niebur GL, Feldstein MJ, Keaveny TM, Biaxial failure behavior of bovine tibial trabecular bone, J Biomech Eng 124:699-705, 2002. (Pubitemid 36119877)
18. Gong H, Zhang M, Yeung HY, Qin L, Regional variations in microstructural properties of vertebral trabeculae with ageing, J Bone Miner Metab 23(2):174-180, 2005. (Pubitemid 40591042)
19. Harrigan TP, Jasty M, Mann RW, Harris WH, Limitations of the continuum assumption in cancellous bone, J Biomech 21:269-275, 1988.
20. Hilderbrand T, Rüegsegger T, Quantification of bone microarchitecture with the structure model index, Comput Meth Biomech Biomed Eng 1(1):15-23, 1997.
21. Gong H, ZhangM, Qin L, Lee KKH, Guo X, Shi SQ, Regional variations in microstructural properties of vertebral trabeculae with structural groups, Spine 31(1):24-32, 2006. (Pubitemid 43348190)
22. Ulrich D, van Rietbergen B, Weinans H, Rüegsegger P, Finite element analysis of trabecular bone structure: a comparison of image-based meshing techniques, J Biomech 31:1187-1192, 1998. (Pubitemid 29005189)
23. Kopperdahl DL, Keaveny TM, Yield strain behavior of trabecular bone, J Biomech 31:601-608, 1998. (Pubitemid 28470512)
24. Rho JY, Ashman RB, Turner CH, Young's modulus of trabecular and cortical bone material: ultrasonic and microtensile measurements, J Biomech 26:111-119, 1993. (Pubitemid 23067441)
25. Rho JY, Tsui TY, Pharr GM, Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation, Biomaterials 18:1325-1330, 1997. (Pubitemid 27460138)
26. ABAQUS theory and user's manual, version 6.7, ABAQUS, Inc., ABAQUS, 2007.
27. Schileo E, Taddei F, Cristofolini L, Viceconti M, Subject-specific finite element models implementing a maximum strain criterion are able to estimate failure risk and fracture location on human femurs tested in vitro, J Biomech 41:356-367, 2008.
28. Nalla RK, Kinney JH, Ritchie RO, Mechanistic fracture criteria for the failure of human cortical bone, Nat Mater 2:164-168, 2003.
29. Currey JD, Tensile yield in compact bone is determined by strain, post-yield behavior by mineral content, J Biomech 37:549-556, 2004. (Pubitemid 38292994)
30. Burstein AH, Zika JM, Heiple KG, Klein L, Contribution of collagen and mineral to the elastic-plastic properties of bone, J Bone Joint Surg 57A:956-961, 1975.
31. Bevill G, Eswaran SK, Gupta A, Papadopoulos P, Keaveny TM, Influence of bone volume fraction and architecture on computed large-deformation failure mechanisms in human trabecular bone, Bone 39:1218-1225, 2006. (Pubitemid 44827934)
32. Bevill G, Farhamand F, Keaveny TM, Heterogeneity of yield strain in low-density versus high-density human trabecular bone, J Biomech 42:2165-2170, 2009.
33. Verhulp E, van Rietbergen B, Müller R, Huiskes R, Micro-finite element simulation of trabecular bone post-yield behavior - effects of material model, element size and type, Comput Meth Biomech Biomed Eng 11(5):389-395, 2008.
34. Simo JC, Hughes TJR, Computational Inelasticity, Springer, New York (NY), 1998.
35. van Rietbergen B, Weinans H, Huiskes R, Odgaard A, A new method to determine trabecular bone elastic properties and loading using micromechanical finite element models, J Biomech 28:69-81, 1995. (Pubitemid 24343733)
36. Bessho M, Ohnishi I, Matsuyama J, Matsumoto T, Imai K, Nakamura K, Prediction of strength and strain of the proximal femur by a CT-based finite element method, J Biomech 40:1745-1753, 2007. (Pubitemid 46702134)
37. Perillo-Marcone A, Alonso-Wazquez A, Taylor M, Assessment of the effect of mesh density on the material property discretisation within QCT based FE models: a practical example using the implanted proximal tibia, Comput Meth Biomech Biomed Eng 6(1):17-26, 2003.
38. Keyak JH, Rossi SA, Jones KA, Skinner HB, Prediction of femoral fracture load using automated finite element modeling, J Biomech 31:125-133, 1998. (Pubitemid 28195808)