Multiscale FE method for analysis of bone micro-structures

Journal of the Mechanical Behavior of Biomedical Materials

Volumn 4, Issue 6, 2011, Pages 888-899

  Podshivalov, L ^a   Fischer, A ^a   Bar Yoseph, P Z ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

CT MRI images; Bone micro structure; Diagnostic system; Multiscale

Indexed keywords

2-D MODEL; BI-DIRECTIONAL; BONE TISSUE; CONTINUOUS TRANSITIONS; DIAGNOSTIC SYSTEM; EFFECTIVE MATERIAL PROPERTY; FE METHOD; GEOMETRIC MODELS; HUMAN ABILITIES; MATERIAL HETEROGENEITY; MATERIAL PROPERTY; MECHANICAL ANALYSIS; MECHANICAL MODEL; MICRO-SCALES; MRI IMAGE; MULTI-SCALE APPROACHES; MULTISCALE FINITE ELEMENT; MULTISCALES; STRUCTURAL GEOMETRY; TRABECULAR BONES; TRABECULAR STRUCTURE; ZOOMING-IN; ZOOMING-OUT;

BIOMECHANICS; BONE; GEOMETRY; GLASS TRANSITION; MAGNETIC RESONANCE IMAGING; MATERIALS PROPERTIES; MECHANICAL PROPERTIES; THREE DIMENSIONAL; TISSUE;

FINITE ELEMENT METHOD;

ANALYZER; ARTICLE; BONE STRUCTURE; BONE TISSUE; CONTROLLED STUDY; FEASIBILITY STUDY; GEOMETRY; HUMAN; MATHEMATICAL MODEL; PHYSICIAN; PRIORITY JOURNAL; THREE DIMENSIONAL IMAGING; TRABECULAR BONE;

BONE AND BONES; FINITE ELEMENT ANALYSIS; HUMANS; MODELS, MOLECULAR; POROSITY;

EID: 79956359534     PISSN: 17516161     EISSN: 18780180     Source Type: Journal    
DOI: 10.1016/j.jmbbm.2011.03.003     Document Type: Article

References (42)

1. Aboudi J. Mechanics of Composite Materials 1991, Elsevier.
2. Arbenz P., van Lenthe G., Mennel U., Müller R., Sala M. Multi-level micro-finite element analysis for human bone structures. Applied Parallel Computing. State of the Art in Scientific Computing 2010, 240-250. Springer, Berlin, Heidelberg. B. Kågström, E. Elmroth, J. Dongarra, J. Wasniewski (Eds.).
3. Azernikov S., Fischer A. A new volume warping method for surface reconstruction. Journal of Computing and Information Science in Engineering 2006, 6:355-363.
4. Beller, G., Burkhart, M., Felsenberg, D., Gowin, W., Hege, H.C., Koller, B., Prohaska, S., Saparin, P.I., Thomsen, J.S., 2005. Vertebral body data set ESA29-99-L3.
5. Boyd S.K., Müller R. Smooth surface meshing for automated finite element model generation from 3D image data. Journal of Biomechanics 2006, 39:1287-1295.
6. Cowin S.C., Mehrabadi M.M. On the identification of material symmetry for anisotropic elastic materials. The Quarterly Journal of Mechanics and Applied Mathematics 1987, 40:451-476.
7. Draper E.R.C., Morris M.D., Camacho N.P., Matousek P., Towrie M., Parker A.W., Goodship A.E. Novel assessment of bone using time-resolved transcutaneous Raman spectroscopy. Journal of Bone and Mineral Research 2005, 20:1968-1972.
8. Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proceedings of the Royal Society of London, Series A (Mathematical and Physical Sciences) 1957, 241:376-396.
9. Fischer A., Bar-Yoseph P.Z. Adaptive mesh generation based on multi-resolution quadtree representation. International Journal for Numerical Methods in Engineering 2000, 48:1571-1582.
10. Floriani L., Kobbelt L., Puppo E. A survey on data structures for level-of-detail models. Advances in Multiresolution for Geometric Modelling 2005, 49-74. Springer-Verlag. N. Dodgson, M. Floater, M. Sabin (Eds.).
11. Fritsch A., Hellmich C., Dormieux L. Ductile sliding between mineral crystals followed by rupture of collagen crosslinks: experimentally supported micromechanical explanation of bone strength. Journal of Theoretical Biology 2009, 260:230-252.
12. Hellmich C., Barthélémy J.-F., Dormieux L. Mineral-collagen interactions in elasticity of bone ultrastructure-a continuum micromechanics approach. European Journal of Mechanics. A. Solids 2004, 23:783-810.
13. Hill R. A self-consistent mechanics of composite materials. Journal of the Mechanics and Physics of Solids 1965, 13:213-222.
14. Hoppe H. Progressive meshes. Proceedings of the 23rd Annual Conference on Computer Graphics and Interactive Techniques 1996, 99-108. ACM.
15. Hoppe H., DeRose T., Duchamp T., McDonald J., Stuetzle W. Mesh optimization. Proceedings of the 20th Annual Conference on Computer Graphics and Interactive Techniques 1993, 19-26. ACM, Anaheim, CA.
16. Kanis J., Burlet N., Cooper C., Delmas P., Reginster J.Y., Borgstrom F., Rizzoli R. European guidance for the diagnosis and management of osteoporosis in postmenopausal women. Osteoporosis International 2008, 19:399-428.
17. Kawagai M., Sando A., Takano N. Image-based multi-scale modelling strategy for complex and heterogeneous porous microstructures by mesh superposition method. Modelling and Simulation in Materials Science and Engineering 2006, 14:53-69.
18. Knothe Tate M.L. Multiscale computational engineering of bones: state-of-the-art insights for the future. Engineering of Functional Skeletal Tissues 2007, 141-160. Springer, London. F. Bronner, M.C. Farach-Carson, A.G. Mikos (Eds.).
19. Lane N.E. Epidemiology, etiology, and diagnosis of osteoporosis. American Journal of Obstetrics and Gynecology 2006, 194:S3-S11.
20. Luebke D., Reddy M., Cohen J.D., Varshney A., Watson B., Huebner R. Level of Detail for 3D Graphics 2002, Morgan Kaufmann.
21. 2010. Materialise. Mesh reconstruction software from CT/MRI data. http://www.materialise.com.
22. Miropolsky A., Fischer A. Extended geometric filter for reconstruction as a basis for computational inspection. Journal of Manufacturing Science and Engineering 2009, 131:1-8.
23. Mori T., Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica 1973, 21:571-574.
24. Morris, D., 2007. Automated preparation, calibration, and simulation of deformable objects. Stanford University Department of Computer Science.
25. Nikolov S., Raabe D. Hierarchical modeling of the elastic properties of bone at submicron scales: the role of extrafibrillar mineralization. Biophysical journal 2008, 94:4220-4232.
26. Odgaard A. Three-dimensional methods for quantification of cancellous bone architecture. Bone 1997, 20:315-328.
27. Phani K.K., Niyogi S.K. Young's modulus of porous brittle solids. Journal of Materials Science 1987, 22:257-263.
28. Podshivalov L., Fischer A., Bar-Yoseph P.Z. Multiresolution 2D geometric meshing for multiscale finite element analysis of bone micro-structures. Virtual and Physical Prototyping 2010, 5:33-43.
29. Podshivalov L., Holdstein Y., Fischer A., Bar-Yoseph P.Z. Towards a multi-scale computerized bone diagnostic system: 2D micro-scale finite element analysis. Communications in Numerical Methods in Engineering 2009, 25:733-749.
30. Qaseem A., Snow V., Shekelle P., Hopkins R., Forciea M.A., Owens D.K. Screening for osteoporosis in men: a clinical practice guideline from the american college of physicians. Annals of Internal Medicine 2008, 148:680-684.
31. Qu J., Cherkaoui M. Determination of Effective Moduli 2007, John Wiley & Sons, Inc.
32. Rho J.-Y., Kuhn-Spearing L., Zioupos P. Mechanical properties and the hierarchical structure of bone. Medical engineering & physics 1998, 20:92-102.
33. Rincón-Kohli L., Zysset P. Multi-axial mechanical properties of human trabecular bone. Biomechanics and Modeling in Mechanobiology 2009, 8:195-208.
34. Samet H. The Design and Analysis of Spatial Data Structures 1990, Addison-Wesley, Reading, MA.
35. Schuit S.C.E., van der Klift M., Weel A.E.A.M., de Laet C.E.D.H., Burger H., Seeman E., Hofman A., Uitterlinden A.G., van Leeuwen J.P.T.M., Pols H.A.P. Fracture incidence and association with bone mineral density in elderly men and women: the Rotterdam Study. Bone 2004, 34:195-202.
36. Taylor W.R., Roland E., Ploeg H., Hertig D., Klabunde R., Warner M.D., Hobatho M.C., Rakotomanana L., Clift S.E. Determination of orthotropic bone elastic constants using FEA and modal analysis. Journal of Biomechanics 2002, 35:767-773.
37. Toselli A., Widlund O. Domain Decomposition Methods-Algorithms and Theory 2005, Springer.
38. Van Lenthe G.H., Voide R., Boyd S.K., Muller R. Tissue modulus calculated from beam theory is biased by bone size and geometry: implications for the use of three-point bending tests to determine bone tissue modulus. Bone 2008, 43:717-723.
39. Van Rietbergen B. Micro-FE analyses of bone: state of the art. Noninvasive Assessment of Trabecular Bone Architecture and the Competence of Bone 2001, Springer. S.B. Majumdar, K. Brian (Eds.).
40. Van Rietbergen B., Weinans H., Huiskes R., Polman B.J.W. Computational strategies for iterative solutions of large FEM applications employing voxel data. International Journal for Numerical Methods in Engineering 1996, 39:2743-2767.
41. Zaoui A. Continuum micromechanics: survey. Journal of Engineering Mechanics 2002, 128:808-816.
42. Zienkiewicz O.C., Taylor R.L. The Finite Element Method. The Basis 2000, Butterworth-Heinemann. 5th ed.