A new approach to determine the accuracy of morphology-elasticity relationships in continuum FE analyses of human proximal femur

Journal of Biomechanics

Volumn 45, Issue 16, 2012, Pages 2884-2892

  Hazrati Marangalou, Javad ^a   Ito, Keita ^a   van Rietbergen, Bert ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Anisotropy; Continuum level finite elements method; Micro finite elements method; Proximal femur

Indexed keywords

ANISOTROPIC MODELS; BONE DENSITY; CONTINUUM ANALYSIS; CONTINUUM MODEL; ELASTIC STIFFNESS; ELEMENT MATERIAL; EMPIRICAL RELATIONSHIPS; EXPERIMENTAL METHODS; FE ANALYSIS; FINITE ELEMENT MODELS; FINITE-ELEMENTS METHOD; HOMOGENIZED STRESS; ISOTROPIC AND ORTHOTROPIC MATERIAL; ISOTROPIC MATERIALS; ISOTROPIC MODELS; MATERIAL BEHAVIOR; MATERIAL MODELS; MICRO-FE MODELS; MICRO-FINITE ELEMENTS METHOD; OSTEOPOROTIC; PROXIMAL FEMUR; STRESS/STRAIN; TRABECULAR ARCHITECTURE;

ANISOTROPY; CONTINUUM MECHANICS; ELASTICITY; FINITE ELEMENT METHOD; STRESS CONCENTRATION;

BONE;

ACCURACY; ANALYTICAL PARAMETERS; ANISOTROPY; ARTICLE; BONE DENSITY; BONE STIFFNESS; BONE STRESS; BONE STRUCTURE; COMPARATIVE STUDY; COMPUTED TOMOGRAPHY SCANNER; COMPUTER ASSISTED TOMOGRAPHY; CONTINUUM FINITE ELEMENT MODEL; CONTROLLED STUDY; DISEASE MODEL; ELASTICITY; FEMUR HEAD; FEMUR NECK; HUMAN; HUMAN TISSUE; ISOTROPIC MODEL; ISOTROPY; MATHEMATICAL MODEL; MORPHOLOGY; MUSCULOSKELETAL SYSTEM PARAMETERS; OSTEOPOROSIS; PRIORITY JOURNAL; STRAIN DISTRIBUTION; STRESS DISTRIBUTION;

ELASTICITY; FEMUR; FINITE ELEMENT ANALYSIS; HUMANS; MODELS, BIOLOGICAL; OSTEOPOROSIS; X-RAY MICROTOMOGRAPHY;

EID: 84868349925     PISSN: 00219290     EISSN: 18732380     Source Type: Journal    
DOI: 10.1016/j.jbiomech.2012.08.022     Document Type: Article

References (43)

1. Bredella M.A., Misra M., Miller K.K., Madisch I., Sarwar A., Cheung A., Klibanski A., Gupta R. Distal radius in adolescent girls with anorexia nervosa: trabecular structure analysis with high-resolution flat-panel volume CT1. Radiology 2008, 249:938-946.
2. Carter D.R., Hayes W.C. Bone compressive strength: the influence of density and strain rate. Science 1976, 194:1174-1176.
3. Cheng X.G., Lowet G., Boonen S., Nicholson P.H.F., Brys P., Nijs J., Dequeker J. Assessment of the strength of proximal femur in vitro: Relationship to femoral bone mineral density and femoral geometry. Bone 1997, 20:213-218.
4. Cheung A., Bredella M., Al Khalaf M.M., Grasruck M., Leidecker C., Gupta R. Reproducibility of trabecular structure analysis using flat-panel volume computed tomography. Skeletal Radiology 2009, 38:1003-1008.
5. Chevalier Y., Pahr D., Zysset P.K. Anatomy- and morphology-based smooth finite element models of the vertebral body. Journal of Biomechanics 2008, 41. S252-S252.
6. Chevalier Y., Quek E., Borah B., Gross G., Stewart J., Lang T., Zysset P. Biomechanical effects of teriparatide in women with osteoporosis treated previously with alendronate and risedronate: results from quantitative computed tomography-based finite element analysis of the vertebral body. Bone 2010, 46:41-48.
7. Courtney A.C., Wachtel E.F., Myers E.R., Hayes W.C. Effects of loading rate on strength of the proximal femur. Calcified Tissue International 1994, 55:53-58.
8. Courtney A.C., Wachtel E.F., Myers E.R., Hayes W.C. Age-related reductions in the strength of the femur tested in a fall-loading configuration. Journal of Bone and Joint Surgery 1995, 77:387-395.
9. Cowin S.C. The relationship between the elasticity tensor and the fabric tensor. Mechanics of Materials 1985, 4:137-147.
10. Cowin S.C., Turner C.H. On the relationship between the orthotropic Young's moduli and fabric. Journal of Biomechanics 1992, 25:1493-1494.
11. Guo X.E., Kim C.H. Mechanical consequence of trabecular bone loss and its treatment: a three-dimensional model simulation. Bone 2002, 30:404-411.
12. Gupta R., Grasruck M., Suess C., Bartling S., Schmidt B., Stierstorfer K., Popescu S., Brady T., Flohr T. Ultra-high resolution flat-panel volume CT: fundamental principles, design architecture, and system characterization. European Radiology 2006, 16:1191-1205.
13. Harrigan T.P., Jasty M., Mann R.W., Harris W.H. Limitations of the continuum assumption in cancellous bone. Journal of Biomechanics 1988, 21:269-275.
14. Harrigan T.P., Mann R.W. Characterization of microstructural anisotropy in orthotropic materials using a second rank tensor. Journal of Materials Science 1984, 19:761-767.
15. Huiskes R. Mechanical failure in total hip arthroplasty with cement. Current Orthopaedics 1993, 7:239-247.
16. Huiskes R., Chao E.Y.S. A survey of finite element analysis in orthopedic biomechanics: the first decade. Journal of Biomechanics 1983, 16:385-409.
17. Kabel J., Odgaard A., van Rietbergen B., Huiskes R. Connectivity and the elastic properties of cancellous bone. Bone 1999, 24:115-120.
18. Kabel J., van Rietbergen B., Odgaard A., Huiskes R. Constitutive relationships of fabric, density, and elastic properties in cancellous bone architecture. Bone 1999, 25:481-486.
19. Keller T.S. Predicting the compressive mechanical behavior of bone. Journal of Biomechanics 1994, 27:1159-1168.
20. Keyak J.H., Fourkas M.G., Meagher J.M., Skinner H.B. Validation of an automated method of three-dimensional finite element modelling of bone. Journal of Biomedical Engineering 1993, 15:505-509.
21. Keyak J.H., Lee I.Y., Skinner H.B. Correlations between orthogonal mechanical properties and density of trabecular bone: use of different densitometric measures. Journal of Biomedical Materials Research 1994, 28:1329-1336.
22. Keyak J.H., Rossi S.A., Jones K.A., Skinner H.B. Prediction of femoral fracture load using automated finite element modeling. Journal of Biomechanics 1997, 31:125-133.
23. Matsuura M., Eckstein F., Lochmuller E.M., Zysset P.K. The role of fabric in the quasi-static compressive mechanical properties of human trabecular bone from various anatomical locations. Biomechanics and Modeling in Mechanobiology 2008, 7:27-42.
24. Morgan E.F., Bayraktar H.H., Keaveny T.M. Trabecular bone modulus-density relationships depend on anatomic site. Journal of Biomechanics 2003, 36:897-904.
25. Mulder L., van Rietbergen B., Noordhoek N.J., Ito K. Determination of vertebral and femoral trabecular morphology and stiffness using a flat-panel C-arm-based CT approach. Bone 2012, 50:200-208.
26. Odgaard A. Three-dimensional methods for quantification of cancellous bone architecture. Bone 1997, 20:315-328.
27. Pahr D.H., Zysset P.K. A comparison of enhanced continuum FE with micro-FE models of human vertebral bodies. Journal of Biomechanics 2009, 42:455-462.
28. Pettersen S.H., Wik T.S., Skallerud B. Subject specific finite element analysis of stress shielding around a cementless femoral stem. Clinical Biomechanics 2009, 24:196-202.
29. Rice J.C., Cowin S.C., Bowman J.A. On the dependence of the elasticity and strength of cancellous bone on apparent density. Journal of Biomechanics 1988, 21:155-168.
30. Rincon-Kohli L., Zysset P.K. Multi-axial mechanical properties of human trabecular bone. Biomechanics and Modeling in Mechanobiology 2009, 8:195-208.
31. Tabor Z. Estimating structural properties of trabecular bone from gray-level low-resolution images. Medical Engineering and Physics 2007, 29:110-119.
32. Taddei F., Cristofolini L., Martelli S., Gill H.S., Viceconti M. Subject-specific finite element models of long bones: an in-vitro evaluation of the overall accuracy. Journal of Biomechanics 2006, 39:2457-2467.
33. Tawara D., Sakamoto J., Murakami H., Kawahara N., Oda J., Tomita K. Mechanical evaluation by patient-specific finite element analyses demonstrates therapeutic effects for osteoporotic vertebrae. Journal of the Mechanical Behavior of Biomedical Materials 2010, 3:31-40.
34. Trabelsi N., Yosibash Z., Wutte C., Augat P., Eberle S. Patient-specific finite element analysis of the human femur-a double-blinded biomechanical validation. Journal of Biomechanics 2011, 44:1666-1672.
35. Turner C.H., Cowin S.C., Rho J.Y., Ashman R.B., Rice J.C. The fabric dependence of the orthotropic elastic constants of cancellous bone. Journal of Biomechanics 1990, 23:549-561.
36. van Rietbergen B., Huiskes R., Eckstein F., Rüegsegger P. Trabecular bone tissue strains in the healthy and osteoporotic human femur. Journal of Bone and Mineral Research 2003, 18:1781-1788.
37. Verhulp E., van Rietbergen B., Huiskes R. Comparison of micro-level and continuum-level voxel models of the proximal femur. Journal of Biomechanics 2006, 39:2951-2957.
38. Verhulp E., van Rietbergen B., Huiskes R. Load distribution in the healthy and osteoporotic human proximal femur during a fall to the side. Bone 2008, 42:30-35.
39. Walsh C.J., Phan C.M., Misra M., Bredella M.A., Miller K.K., Fazeli P.K., Bayraktar H.H., Klibanski A., Gupta R. Women with anorexia nervosa: finite element and trabecular structure analysis by using flat-panel volume CT. Radiology 2010, 257:167-174.
40. Weinans H., Sumner D.R., Igloria R., Natarajan R.N. Sensitivity of periprosthetic stress-shielding to load and the bone density-modulus relationship in subject-specific finite element models. Journal of Biomechanics 2000, 33:809-817.
41. Yang G., Kabel J., van Rietbergen B., Odgaard A., Huiskes R., Cown S. The anisotropic Hooke's law for cancellous bone and wood. Journal of Elasticity 1998, 53:125-146.
42. Zysset P.K. A review of morphology-elasticity relationships in human trabecular bone: theories and experiments. Journal of Biomechanics 2003, 36:1469-1485.
43. Zysset P.K., Curnier A. An alternative model for anisotropic elasticity based on fabric tensors. Mechanics of Materials 1995, 21:243-250.