Effects of damage on the orthotropic material symmetry of bovine tibial trabecular bone

Journal of Biomechanics

Volumn 36, Issue 12, 2003, Pages 1753-1759

  Liu, Xiangyi ^a   Wang, Xiang ^a   Niebur, Glen L ^a  

^a UNIVERSITY OF NOTRE DAME   (United States)

Author keywords

Anisotropy; Damage; Fabric; Material symmetry; Trabecular bone

Indexed keywords

ANISOTROPY; CRACKS; ELASTIC MODULI;

MICRODAMAGE;

BONE;

ANIMAL TISSUE; ANISOTROPY; ARTICLE; BONE INJURY; BONE STRUCTURE; CONTROLLED STUDY; FINITE ELEMENT ANALYSIS; NONHUMAN; PRIORITY JOURNAL; SHEAR STRESS; SIMULATION; TIBIA; TRABECULAR BONE; YOUNG MODULUS;

EID: 0242691049     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-9290(03)00217-3     Document Type: Article

References (41)

1. Arthur Moore T.L., Gibson L.J. Modeling modulus reduction in bovine trabecular bone damaged in compression. Journal of Biomechanical Engineering. 123(6):2001;613-622.
2. Arthur Moore T.L., Gibson L.J. Microdamage accumulation in bovine trabecular bone in uniaxial compression. Journal of Biomechanical Engineering. 124(1):2002;63-71.
3. Beck J.D., Carfield B.L., Haddock S.M., Chen T.J.H., Kothari T.M. Three-dimensional imaging of trabecular bone using the computer numerically controlled milling technique. Bone. 21(3):1997;281-287.
4. Bowman S.M., Guo X.E., Cheng D.W., Keaveny T.M., Gibson L.J., Hayes W.C., McMahon T.A. Creep contributes to the fatigue behavior of bovine trabecular bone. Journal of Biomechanical Engineering. 120:1998;647-654.
5. Burr D.B., Martin R.B., Schaffler M.B., Radin E.L. Bone remodeling in response to in vivo fatigue microdamage. Journal of Biomechanics. 18(3):1985;189-200.
6. Cowin S.C. The relationship between the elasticity tensor and the fabric tensor. Mechanics of Materials. 4:1985;137-147.
7. Cowin S.C. Wolff's law of trabecular architecture at remodeling equilibrium. Journal of Biomechanical Engineering. 108:1986;83-88.
8. Fenech C., Keaveny T.M. A cellular solid criterion for predicting the axial-shear failure properties of trabecular bone. Journal of Biomechanical Engineering. 121:1999;414-422.
9. Ford C.M., Keaveny T.M. The dependence of shear failure properties of bovine tibial trabecular bone on apparent density and trabecular orientation. Journal of Biomechanics. 29:1996;1309-1317.
10. Fyhrie D.P., Schaffler M.B. Failure mechanisms in human vertebral cancellous bone. Bone. 15(1):1994;105-109.
11. Gibson L.J. The mechanical behavior of cancellous bone. Journal of Biomechanics. 18(5):1985;317-328.
12. Guldberg R.E., Hollister S.J., Charras G.T. The accuracy of digital image-based finite element models. Journal of Biomechanical Engineering. 120(4):1998;289-295.
13. Huiskes R., Ruimerman R., van Lenthe G.H., Janssen J.D. Effects of mechanical forces on maintenance and adaptation of form in trabecular bone. Nature. 405(6787):2000;704-706.
14. Jaasma M.J., Bayraktar H.H., Niebur G.L., Keaveny T.M. Biomechanical effects of intraspecimen variations in tissue modulus for trabecular bone. Journal of Biomechanics. 35(2):2002;237-246.
15. Kabel J., van Rietbergen B., Dalstra M., Odgaard A., Huiskes R. The role of an effective isotropic tissue modulus in the elastic properties of cancellous bone. Journal of Biomechanics. 32(7):1999;673-680.
16. 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. 27:1994;1137-1146.
17. Keaveny T.M., Wachtel E.F., Guo X.E., Hayes W.C. Mechanical behavior of damaged trabecular bone. Journal of Biomechanics. 27(11):1994;1309-1318.
18. Keaveny T.M., Pinilla T.P., Crawford R.P., Kopperdahl D.L., Lou A. Systematic and random errors in compression testing of trabecular bone. Journal of Orthopaedic Research. 15:1997;101-110.
19. Keaveny T.M., Wachtel E.F., Kopperdahl D.L. Mechanical behavior of human trabecular bone after overloading. Journal of Orthopaedic Research. 17:1999;346-353.
20. Keaveny T.M., Morgan E.F., Niebur G.L., Yeh O.C. Biomechanics of trabecular bone. Annual Review of Biomedical Engineering. 3(1):2001;307-333.
21. Kopperdahl D.L., Pearlman J.L., Keaveny T.M. Biomechanical consequences of an isolated overload on the human vertebral body. Journal of Orthopaedic Research. 18(5):2000;685-690.
22. Lemaitre J., Desmorat R., Sauzay M. Anisotropic law of damage evolution. European Journal of Mechanics A/Solids. 19:2000;187-208.
23. Martin R.B., Burr D.B. A hypothetical mechanism for the stimulation of osteonal remodelling by fatigue damage. Journal of Biomechanics. 15(3):1982;137-139.
24. Morgan E.F., Keaveny T.M. Dependence of yield strain of human trabecular bone on anatomic site. Journal of Biomechanics. 34(5):2001;569-577.
25. Mori S., Harruff R., Ambrosius W., Burr D.B. Trabecular bone volume and microdamage accumulation in the femoral heads of women with the without femoral neck fractures. Bone. 21(6):1997;521-526.
26. Niebur G.L., Yuen J.C., Hsia A.C., Keaveny T.M. Convergence behavior of high-resolution finite element models of trabecular bone. Journal of Biomechanical Engineering. 121(6):1999;629-635.
27. 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. 33(12):2000;1575-1583.
28. Niebur G.L., Yuen J.C., Burghardt A.J., Keaveny T.M. Sensitivity of damage predictions to tissue level yield properties and apparent loading conditions. Journal of Biomechanics. 34(5):2001;699-706.
29. Niebur, G.L., Yeh, O.C., Keaveny, T.M., 2002. Damage evolution in trabecular bone is anisotropic. 48th Annual meeting of the ORS, Dallas.
30. Odgaard A., Kabel J., van Rietbergen B., Dalstra M., Huiskes R. Fabric and elastic principal directions of cancellous bone are closely related. Journal of Biomechanics. 30(5):1997;487-495.
31. Reilly D.T., Burstein A.H. The elastic and ultimate properties of compact bone tissue. Journal of Biomechanics. 8:1975;393-405.
32. Simo J.C., Ju J.W. Strain- and stress-based continuum damage models. I. Formulation. International Journal of Solids and Structures. 23:1987;821-840.
33. 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. Journal of Biomechanics. 28(1):1995;69-81.
34. Van Rietbergen B., Odgaard A., Kabel J., Huiskes R. Direct mechanics assessment of elastic symmetries and properties of trabecular bone architecture. Journal of Biomechanics. 29(12):1996;1653-1657.
35. Van Rietbergen B., Odgaard A., Kabel J., Huiskes R. Relationships between bone morphology and bone elastic properties can be accurately quantified using high-resolution computer reconstructions. Journal of Orthopaedic Research. 16(1):1998;23-28.
36. Vashishth D., Koontz J., Qiu S.J., Lundin-Cannon D., Yeni Y.N., Schaffler M.B., Fyhrie D.P. In vivo diffuse damage in human vertebral trabecular bone. Bone. 26:2000;147-152.
37. Wachtel E.F., Keaveny T.M. Dependence of trabecular damage on mechanical strain. Journal of Orthopaedic Research. 15:1997;781-787.
38. Yang G., Kabel J., Van Rietbergen B., Odgaard A., Huiskes R., Cowin S.C. The anisotropic hooke's law for cancellous bone and wood. Journal of Elasticity. 53:1999;125-146.
39. Zysset P.K., Curnier A. An alternative model for anisotropic elasticity based on fabric tensors. Mechanics of Materials. 21(4):1995;243-250.
40. Zysset P.K., Curnier A. A 3D damage model for trabecular bone based on fabric tensors. Journal of Biomechanics. 29(12):1996;1549-1558.
41. Zysset P.K., Goulet R.W., Hollister S.J. A global relationship between trabecular bone morphology and homogenized elastic properties. Journal of Biomechanical Engineering. 120(5):1998;640-646.