Finite Element Modeling of Trabecular Bone Damage

References

• Betten J. 1989 Generalization of nonlinear material laws found in experiments to multi-axial states of stress European Journal of Mechanics, A/Solids 8 325 339
   Google Scholar
• Fyhrie D.P. Hou F.J. 1995 Prediction of human vertebral cancellous bone strength using non-linear, anatomically accurate, large scale, finite element analysis Proceedings of the Bioengineering Conference of ASME 29 301 302
   Google Scholar
• Gilbertson L.G. Goel V.K. Kong W.Z. Clausen J.D. 1995 Finite element methods in spine biomechanics research Critical Reviews in Biomedical Engineering 23 411 473
   Google Scholar
• Hollister S.J. Fyhrie D.P. Jepsen K.J. Goldstein S.A. 1991 Application of homogenization theory to the study of trabecular bone mechanics Journal of Biomechanics 24 825 839
   Google Scholar
• Hollister S.J. Brennan J.M. Kikuchi N. 1994 A homogenization sampling procedure for calculating trabecular bone effective stiffness and tissue level stress Journal of Biomechanics 27 433 444
   Google Scholar
• Hou F.J. Lang S.M. Hoshaw S.J. Reimann D.A. Fyhrie D.P. 1998 Human vertebral body apparent and hard tissue stiffness Journal of Biomechanics 31 1009 1015
   Google Scholar
• Howland R.C.J. 1930 On the stresses in the neighborhood of a circular hole in a strip under tension Philosophical Transactions of Royal Society (London) Series A 229 46 86
   Google Scholar
• Jacobs C.R. Davis B.R. Rieger C.J. Francis J.J. Saad M. Fyhrie D.P. 1999 The impact of boundary conditions and mesh size on the accuracy of cancellous bone tissue modulus determination using large-scale finite-element modeling Journal of Biomechanics 32 1159 1164
   Google Scholar
• Jepsen K.J. Davy D.T. Akkus O. 2001 Observations of damage in bone Cowin S.C. Bone Mechanics Handbook CRC Press Boca Raton, FL 17.1–17.18
   Google Scholar
• Keaveny T.M. Wachtel E.F. Guo X.E. Hayes W.C. 1994 Mechanical behaviour of damaged trabecular bone Journal of Biomechanics 27 1309 1318
   Google Scholar
• Keaveny T.M. Wachtel E.F. Kopperdahl D.L. 1999 Mechanical behaviour of human trabecular bone after overloading Journal of Orthopaedic Research 17 346 353
   Google Scholar
• Keller T.S. 1994 Predicting the compressive mechanical behaviour of bone Journal of Biomechanics 27 1159 1168
   Google Scholar
• Keller T.S. Nathan M. 1999 Height change due to creep in intervertebral discs: a sagittal plane model Journal of Spinal Disorders 12 313 324
   Google Scholar
• Keller T.S. 2001 Finite element modeling of bone tissue stress-adaptation Spillman W.B. Complex Adaptive Structures Society of Photo-Optical Instrumentation Engineers Bellingham 4512 232 245
   Google Scholar
• Keller, T.S., Harrison, D.E., Colloca, C.J., Harrison, D.D., Janik, T.J. (2002) “Prediction of Osteoporotic Spinal Deformity.” Proceedings of the International Society for the Study of the Lumbar Spine
   Google Scholar
• Kopperdahl D.L. Roberts A.D. Keaveny T.M. 1999 Localized damage in vertebral bone is most detrimental in regions of high strain energy density Journal of Biomechanical Engineering 121 622 628
   Google Scholar
• Kosmopoulos V. Keller T.S. Baroud G. Steffen T. 2003 Experimental and numerical simulation of microdamage and failure of thoracic vertebral trabecular bone Transactions of the Orthopaedic Research Society 28 453
   Google Scholar
• Liebschner M.A.K. Rosenberg W.S. Keaveny T.M. 2001 Effects of bone cement volume and distribution on vertebral stiffness after vertebroplasty Spine 26 1547 1554
   Google Scholar
• Martin R.B. Burr D.B. 1982 A hypothetical mechanism for the simulation of osteonal remodeling by fatigue damage Journal of Biomechanics 15 137 139
   Google Scholar
• Martin R.B. 2000 Toward a unifying theory of bone remodeling Bone 26 1 6
   Google Scholar
• Mizrahi J. Silva M.J. Keaveny T.M. Edwards W.T. Hayes W.C. 1993 Finite-element stress analysis of the normal and osteoporotic lumbar vertebral body Spine 18 2088 2096
   Google Scholar
• Moore T.L.A. Gibson L.J. 2001 Modeling modulus reduction in bovine trabecular bone damaged in compression Journal of Biomechanical Engineering 123 613 622
   Google Scholar
• Niebur G.L. Yuen J.C. Hsia A.C. Keaveny T.M. 1999 Convergence behaviour of high-resolution finite element models of trabecular bone Journal of Biomechanical Engineering 121 629 635
   Google Scholar
• Niebur G.L. Feldstein M.J. Yuen J.C. Chen T.J. Keaveny T.M. 2000 High-resolution finite element models with strength asymmetry accurately predict failure or trabecular bone Journal of Biomechanics 33 1575 1583
   Google Scholar
• Saha S. Pal S. 1984 Mechanical properties of bone cement: a review Journal of Biomedical Materials Research 18 435 462
   Google Scholar
• Saxena R. Keller T.S. Sullivan J.M. 1999 A three-dimensional finite element scheme to investigate the apparent mechanical properties of trabecular bone Computer Methods in Biomechanics and Biomedical Engineering 2 285 294
   Google Scholar
• Saxena R. Keller T.S. 1999 Computer modeling for evaluating trabecular bone mechanics An Y.H. Draughn R.A. Mechanical Testing of Bone and the Bone-implant Interface CRC Press Boca Raton, FL 407 436
   Google Scholar
• Suwito W. Keller T.S. Basu P.K. Weisberger A.M. Spengler D.M. 1992 Geometric and material property study of the human spine using the finite element method Journal of Spinal Disorders 5 50 59
   Google Scholar
• van Rietbergen B. Weinans H. Huiskes R. Odgaard A. 1995 A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models Journal of Biomechanics 28 69 81
   Google Scholar
• van Rietbergen B. Odgaard A. Kabel J. Huiskes R. 1996 Direct mechanics assessment of elastic symmetries and properties of trabecular bone architecture Journal of Biomechanics 29 1653 1657
   Google Scholar
• van Rietbergen B. Ulrich D. Pistoia W. Huiskes R. Ruegsegger P. 1998 Prediction of trabecular bone failure parameters using a tissue failure criterion Transactions of the Orthopaedic Research Society 23 550
   Google Scholar
• Wachtel E.F. Keaveny T.M. 1997 Dependence of trabecular damage on mechanical strain Journal of Orthopaedic Research 15 781 787
   Google Scholar