Micromechanics of hydroxyapatite-based biomaterials and tissue engineering scaffolds

Tissue Engineering Using Ceramics and Polymers

Volumn , Issue , 2007, Pages 529-565

  Fritsch, A ^a   Dormieux, L ^a   Hellmich, C ^b   Sanahuja, J ^c  

^a UNIVERSITÉ PARIS EST   (France)

^b VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

^c LAFARGE CENTRE DE RECHERCHE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

SCAFFOLDS (BIOLOGY);

TISSUE ENGINEERING SCAFFOLD;

TISSUE ENGINEERING;

EID: 57649224455     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1533/9781845693817.2.529     Document Type: Chapter

References (47)

1. Akao M., Aoki H., Kato K. Mechanical properties of sintered hydroxyapatite for prosthetic applications. Journal of Materials Science 1981, 16:809-812.
2. Arita I., Wilkinson D., Mondragón M., Castaño V. Chemistry and sintering behaviour of thin hydroxyapatite ceramics with controlled porosity. Biomaterials 1995, 16:403-408.
3. Ashman R.B., Cowin S.C., Van Buskirk W.C., Rice J.C. A continuous wave technique for the measurement of the elastic properties of cortical bone. Journal of Biomechanics 1984, 17:349-361.
4. Ashman R.B., Corin J.D., Turner C.H. Elastic properties of cancellous bone - Measurement by an ultrasonic technique. Journal of Biomechanics 1987, 20:979-986.
5. Benveniste Y. A new approach to the application of Mori-Tanaka's theory in composite materials. Mechanics of Materials 1987, 6:147-157.
6. Carcione J.M. Wave Fields in Real Media: Wave Propagation in Anisotropic,Anelastic and Porous Media, Handbook of Geophysical Exploration 2001, Oxford, Pergamon. 31.
7. Charrière E., Terrazzoni S., Pittet C., Mordasini P., Dutoit M., Lemaítre J., Zysset P. Mechanical characterization of brushite and hydroxyapatite cements. Biomaterials 2001, 22(21):2937-2945.
8. Cowin S.C. A recasting of anisotropic poroelasticity in matrices of tensor components. Transport in Porous Media 2003, 50:35-56.
9. De With G., van Dijk H., Hattu N., Prijs K. Preparation, microstructure and mechanical properties of dense polycrystalline hydroxy apatite. Journal of Materials Science 1981, 16:1592-1598.
10. Dormieux L. Poroelasticity and strength of fully or partially saturated porous materials. Applied Micromechanics of Porous Media, CISM Vol. 480 2005, 109-152. Springer, New York. L. Dormieux, F.J. Ulm (Eds.).
11. Dormieux L., Molinari A., Kondo D. Micromechanical approach to the behavior of poroelastic materials. Journal of the Mechanics and Physics of Solids 2002, 50:2203-2231.
12. Dormieux L., Kondo D., Ulm F.-J. Microporomechanics 2006, Wiley, Chichester.
13. Dorozhkin S.V., Epple M. Biological and medical significance of calcium phosphates. Angewandte Chemie International Edition 2002, 41:3130-3146.
14. Driessen A., Klein C., de Groot K. Preparation and some properties of sintered β-whitlockite. Biomaterials 1982, 3:113-116.
15. Eshelby J.D. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proceedings of the Royal Society London, Series A 1957, 241:376-396.
16. Frame J.W., Browne R.M., Brady C.L. Hydroxyapatite as a bone substitute in the jaws. Biomaterials 1981, 2(1):19-22.
17. Fritsch A., Dormieux L., Hellmich C. Porous polycrystals built up by uniformly and axisymmetrically oriented needles: homogenization of elastic properties. Comptes Rendus Mecanique 2006, 334(3):151-157.
18. Fritsch A., Hellmich C. "Universal" microstructural patterns in cortical and trabecular, extracellular and extravascular bone materials: micromechanics-based prediction of anisotropic elasticity. Journal of Theoretical Biology 2007, 244(4):597-620.
19. Gilmore R., Katz J.L. Elastic properties of apatites. Journal of Materials Science 1982, 17:1131-1141.
20. Hashin Z. Analysis of composite materials: a survey. Journal of Applied Mechanics 1983, 29:143-150.
21. Hellmich C., Ulm F.-J. A micromechanical model for the ultrastructural stiffness of mineralized tissues. Journal of Engineering Mechanics (ASCE) 2002, 128(8):898-908.
22. 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.
23. Biomaterials, Artifical Organs and Tissue Engineering 2005, Woodhead Publishing, Cambridge. L.L. Hench, R.J. Jones (Eds.).
24. Hershey A.V. The elasticity of an isotropic aggregate of anisotropic cubic crystals. Journal of Applied Mechanics (ASME) 1954, 21:236-240.
25. Hill R. Elastic properties of reinforced solids: some theoretical principles. Journal of the Mechanics and Physics of Solids 1963, 11(5):357-362.
26. Hofstetter K., Hellmich C., Eberhardsteiner J. Development and experimental validation of a continuum micromechanics model for the elasticity of wood. European Journal of Mechanics A - Solids 2005, 24(6):1030-1053.
27. Hofstetter K., Hellmich C., Eberhardsteiner J. The influence of the microfibril angle on wood stiffness: a continuum micromechanics approach. Computer Assisted Mechanics and Engineering Sciences 2006, 13:523-536.
28. Jarcho M., Bolen C., Thomas M., Bobick J., Kay J., Doremus R. Hydroxylapatite synthesis and characterisation in dense polycrystalline form. Journal of Materials Science 1976, 11:2027-2035.
29. Katz J.L., Harper R. Calcium phosphates and apatites. Concise Encyclopedia of Medical and Dental Materials 1990, 87-95. Pergamon Press, Oxford. D. Williams (Ed.).
30. Katz J.L., Ukraincik K. On the anisotropic elastic properties of hydroxyapatite. Journal of Biomechanics 1971, 4(3):221-227.
31. Kikuchi M., Ikoma T., Itoh S., Matsumoto H.N., Koyama Y., Takakuda K., Shinomiya K., Tanaka J. Biomimetic synthesis of bone-like nanocomposites using the self-organization mechanism of hydroxyapatite and collagen. Composites Sciences and Technology 2004, 64(6):819-825.
32. Kolsky H. Stress Waves in Solids 1953, Clarendon Press, Oxford.
33. Kröner E. Computation of the elastic constants of polycrystals from constants of single crystals. Zeitschrift für Physik 1958, 151:504-518.
34. Liu D.-M. Preparation and characterisation of porous hydroxyapatite bioceramic via a slip-casting route. Ceramics International 1998, 24:441-446.
35. Martin R.I., Brown P.W. Mechanical properties of hydroxyapatite formed at physiological temperature. Journal of Materials Science: Materials in Medicine 1995, 6:138-143.
36. Mastrogiacomo M., Scaglione S., Martinetti R., Dolcini L., Beltrame F., Cancedda R., Quarto R. Role of scaffold internal structure on in vivo bone formation in macroporous calcium phosphate bioceramics. Biomaterials 2006, 27(17):3230-3237.
37. Mayr E. This is Biology - The Science of the Living World 1997, Harvard University Press, Cambridge, MA.
38. Mori T., Tanaka K. Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metallurgica 1973, 21(5):571-574.
39. Müllner H.W., Fritsch A., Kohlhauser C., Reihsner R., Hellmich C., Godlinski D., Rota A., Slesinski R., Eberhardsteiner J. Acoustical and poromechanical characterization of titanium scaffolds for biomedical applications. Strain 2007, accepted for publication.
40. Peelen J., Rejda B., de Groot K. Preparation and properties of sintered hydroxylapatite. Ceramurgia International 1978, 4(2):71-74.
41. Rao W., Boehm R. A study of sintered apatites. Journal of Dental Research 1974, 53(6):1351-1355.
42. Salençon J. Handbook of Continuum Mechanics: General Concepts, Thermo-elasticity 2001, Springer, Berlin.
43. Shareef M., Messer P., Noort R. Fabrication, characterization and fracture study of a machinable hydroxyapatite ceramic. Biomaterials 1993, 14(1):69-75.
44. Suchanek W., Yoshimura M. Processing and properties of hydroxyapatite-based biomaterials for use as hard tissue replacement implants. Journal of Materials Research 1998, 13(1):94-117.
45. Continuum Micromechanics 1997, Springer, New York. P. Suquet (Ed.).
46. Verma D., Katti K., Katti D. Bioactivity in in situ hydroxyapatite-polycaprolactone composites. Journal of Biomedical Materials Research Part A 2006, 78A(4):772-780.
47. Zaoui A. Continuum micromechanics: survey. Journal of Engineering Mechanics (ASCE) 2002, 128(8):808-816.