A finite element beam-model for efficient simulation of large-scale porous structures

Computer Methods in Biomechanics and Biomedical Engineering

Volumn 7, Issue 1, 2004, Pages 9-16

  Stauber, Martin ^a   Huber, Martin ^a   van Lenthe, G Harry ^a   Boyd, Steven K ^a,b   Müller, Ralph ^a  

^a ETH ZURICH   (Switzerland)

^b UNIVERSITY OF CALGARY   (Canada)

Author keywords

Bone architecture; Finite element method; Image guided failure assessment; Micro compression; Trabeculae

Indexed keywords

BEAM FINITE ELEMENTS; BONE ARCHITECTURE; CLASSICAL MODELING; DATA SETS; EFFICIENT SIMULATION; FE MODELING; FINITE ELEMENT; HIGH RESOLUTION; IMAGE GUIDED FAILURE ASSESSMENT; IMAGING METHOD; IN-VIVO IMAGING; LOCAL DISPLACEMENT; MICRO COMPUTED TOMOGRAPHY (MICRO-CT); MICRO-COMPRESSION; OSTEOPOROTIC FRACTURES; POROUS STRUCTURES; STRENGTH ANALYSIS; TRABECULAE; TRABECULAR BONES;

BONE; COMPUTER SIMULATION; COMPUTERIZED TOMOGRAPHY; MECHANICAL PROPERTIES; STRESS-STRAIN CURVES;

FINITE ELEMENT METHOD;

ALLOY; ALUMINUM;

ARTICLE; BONE; COMPUTER ASSISTED TOMOGRAPHY; HISTOLOGY; HUMAN; METHODOLOGY; THEORETICAL MODEL;

ALLOYS; ALUMINUM; BONE AND BONES; HUMANS; MODELS, THEORETICAL; TOMOGRAPHY, X-RAY COMPUTED;

EID: 4544317782     PISSN: 10255842     EISSN: 14768259     Source Type: Journal    
DOI: 10.1080/10255840410001656408     Document Type: Article

References (44)

1. (1993) "Consensus development conference: diagnosis, prophylaxis, and treatment of osteoporosis", The American Journal of Medicine 94, 646-650.
2. Melton, L.J., III, Chrischilles, E.A., Cooper, C., Lane, A.W. and Riggs, B.L. (1992) "Perspective. How many women have osteoporosis?", Journal of Bone and Mineral Research 7, 1005-1010.
3. Carter, D.R. and Hayes, W.C. (1977) "The compressive behavior of bone as a two-phase porous structure", Journal of Bone and Joint Surgery [Am] 59, 954-962.
4. Odgaard, A. and Linde, F. (1991) "The underestimation of Young's modulus in compressive testing of cancellous bone specimens", Journal of Biomechanics 24, 691-698.
5. Rice, J.C., Cowin, S.C. and Bowman, J.A. (1988) "On the dependence of the elasticity and strength of cancellous bone on apparent density", Journal of Biomechanics 21, 155-168.
6. Mosekilde, L. (1988) "Age-related changes in vertebral trabecular bone architecture-assessed by a new method", Bone 9, 247-250.
7. Parfitt, A.M. (1987) "Trabecular bone architecture in the pathogenesis and prevention of fracture", The American Journal of Medicine 82, 68-72.
8. Dalstra, M., Huiskes, R., Odgaard, A. and van Erning, L. (1993) "Mechanical and textural properties of pelvic trabecular bone", Journal of Biomechanics 26, 523-535.
9. Goulet, R.W., Goldstein, S.A., Ciarelli, M.J., Kuhn, J.L., Brown, M.B. and Feldkamp, L.A. (1994) "The relationship between the structural and orthogonal compressive properties of trabecular bone", Journal of Biomechanics 27, 375-389.
10. Odgaard, A., Kabel, J., Van Rietbergen, B., Dalstra, M. and Huiskes, R. (1997) "Fabric and elastic principal directions of cancellous bone are closely related", Journal of Biomechanics 30, 487-495.
11. McBroom, R.J., Hayes, W.C., Edwards, W.T., Goldberg, R.P. and White, A.A., III (1985) "Prediction of vertebral body compressive fracture using quantitative computed tomography", Journal of Bone and Joint Surgery [Am] 67, 1206-1214.
12. Silva, M.J., Keaveny, T.M. and Hayes, W.C. (1997) "Load sharing between the shell and centrum in the lumbar vertebral body", Spine 22, 140-150.
13. Minne, H.W., Leidig, G., Wuster, C., Siromachkostov, L., Baldauf, G., Bickel, R., Sauer, P., Lojen, M. and Ziegler, R. (1988) "A newly developed spine deformity index (SDI) to quantitate vertebral crush fractures in patients with osteoporosis", Bone and Mineral 3, 335-349.
14. Keaveny, T.M., Guo, X.E., Wachtel, E.F., McMahon, T.A. and Hayes, W.C. (1994) "Trabecular bone exhibits fully linear elastic behavior and yields at low strains", Journal of Biomechanics 27, 1127-1136.
15. Courtney, A.C., Hayes, W.C. and Gibson, L.J. (1996) "Age-related differences in post-yield damage in human cortical bone. Experiment and model", Journal of Biomechanics 29, 1463-1471.
16. Martin, R.B., Gibson, V.A., Stover, S.M., Gibeling, J.C. and Griffin, L.V. (1997) "Residual strength of equine bone is not reduced by intense fatigue loading: implications for stress fracture", Journal of Biomechanics 30, 109-114.
17. Hayes, W.C. and Carter, D.R. (1976) "Postyield behavior of subchondral trabecular bone", Journal of Biomedical Material Research 10, 537-544.
18. Odgaard, A., Hvid, I. and Linde, F. (1989) "Compressive axial strain distributions in cancellous bone specimens", Journal of Biomechanics 22, 829-835.
19. Fyhrie, D.P. and Schaffler, M.B. (1994) "Failure mechanisms in human vertebral cancellous bone", Bone 15, 105-109.
20. Müller, R., Gerber, S.C. and Hayes, W.C. (1998) "Microcompression: a novel technique for the nondestructive assessment of local bone failure", Technology and Health Care 6, 433-444.
21. Gibson, L.J. and Ashby, M.F. (1982) "The mechanics of threedimensional cellular materials", Proceedings of the Royal Society of London Series a-Mathematical Physical and Engineering Sciences 382, 43-59.
22. Gibson, L.J., Ashby, M.F., Karam, G.N., Wegst, U. and Shercliff, H.R. (1995) "The mechanical-properties of natural materials 2. Microstructures for mechanical efficiency", Proceedings of the Royal Society of London Series a-Mathematical and Physical Sciences 450, 141-162.
23. Gibson, L.J., Ashby, M.F., Schajer, G.S. and Robertson, C.I. (1982) "The mechanics of two-dimensional cellular materials", Proceedings of the Royal Society of London Series a-Mathematical Physical and Engineering Sciences 382, 25-42.
24. Ashby, M.F., Gibson, L.J., Wegst, U. and Olive, R. (1995) "The mechanical-properties of natural materials 1. Material property charts", Proceedings of the Royal Society of London Series a-Mathematical and Physical Sciences 450, 123-140.
25. Kim, H.S. and Al-Hassani, S.T. (2002) "A morphological model of vertebral trabecular bone", Journal of Biomechanics 35, 1101-1114.
26. Pugh, J.W., Rose, R.M. and Radin, E.L. (1973) "A structural model for the mechanical behavior of trabecular bone", Journal of Biomechanics 6, 657-670.
27. Jensen, K.S. and Mosekilde, L. (1990) "A model of vertebral trabecular bone architecture and its mechanical properties", Bone 11, 417-423.
28. Beaupre, G.S. and Hayes, W.C. (1985) "Finite element analysis of a three-dimensional open-celled model for trabecular bone", Journal of Biomechanical Engineering 107, 249-256.
29. Guo, X.E. and Kim, C.H. (2002) "Mechanical consequence of trabecular bone loss and its treatment: a three-dimensional model simulation", Bone 30, 404-411.
30. Kasra, M. and Grynpas, M.D. (1998) "Static and dynamic finite element analyses of an idealized structural model of vertebral trabecular bone", Journal of Biomechanical Engineering 120, 267-272.
31. Williams, J.L. and Lewis, J.L. (1982) "Properties and an anisotropic model of cancellous bone from the proximal tibial epiphysis", Journal of Biomechanical Engineering 104, 50-56.
32. Silva, M.J. and Gibsonx, L.J. (2002) "Modeling the mechanical behavior of vertebral trabecular bone: effects of age-related changes in microstructure", Bone 21, 191-199.
33. Huiskes, R., Ruimerman, R., van Lenthe, G.H. and Janssen, J.D. (2000) "Effects of mechanical forces on maintenance and adaptation of form in trabecular bone", Nature 405, 704-706.
34. Ruimerman, R., Van Rietbergen, B., Hilbers, P. and Huiskes, R. (2003) "A 3-dimensional computer model to simulate trabecular bone metabolism", Biorheology 40, 315-320.
35. Hollister, S.J., Brennan, J.M. and Kikuchi, N. (1994) "A homogenization sampling procedure for calculating trabecular bone effective stiffness and tissue level stress", Journal of Biomechanics 27, 433-444.
36. Van Rietbergen, B., Weinans, H., Huiskes, R. and 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.
37. Harrigan, T.P., Jasty, M., Mann, R.W. and Harris, W.H. (1988) "Limitations of the continuum assumption in cancellous bone", Journal of Biomechanics 21, 269-275.
38. Nazarian, A. and Müller, R. (2004) "Time-lapsed microstructural imaging of bone failure behavior", Journal of Biomechanics 37, 55-65.
39. Hildebrand, T., Laib, A., Müller, R., Dequeker, J. and Ruegsegger, P. (1999) "Direct three-dimensional morphometric analysis of human cancellous bone: microstructural data from spine, femur, iliac crest, and calcaneus", Journal of Bone and Mineral Research 14, 1167-1174.
40. Müller, R., Boesch, T., Jarak, D., Stauber, M., Nazarian, A., Tantillo, M. and Boyd, S.K. (2002) "Micro-mechanical evaluation of bone microstructures under load", In: Bonse, U., ed, Developments in X-Ray Tomography III (SPIE, San Diego, CA) Vol. 4503, pp 189-200.
41. Borgefors, G. (1984) "Distance transformations in arbitrary dimensions", Computer Vision, Graphics, and Image Processing 27, 321-345.
42. MARC Analysis Research Corporation, MARC Volume B: Element Library, Version K7.3, 1998.
43. Gibson, L.J. (1985) "The mechanical behaviour of cancellous bone", Journal of Biomechanics 18, 317-328.
44. American Society of Metals (1993) In: Davis, J.R., ed, Aluminum and Aluminum Alloys (ASM International, Materials Park, OH), ISBN: 0-87170-496-X.