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FROM MICRO-CT TO MULTISCALE MECHANICS OF DOUBLE-POROUS HYDROXYAPATITE GRANULES FOR REGENERATIVE MEDICINE
Alexander Dejaco
References
[1] S. Scheiner, R. Sinibaldi, B. Pichler, V. Komlev,C. Renghini, C. Vitale-Brovarone, F. Rustichelli,and C. Hellmich, “Micromechanics of bone tissue-engineering scaffolds, based on resolution error-cleared computer tomography,” Biomaterials, vol. 30,no. 12, pp. 2411–2419, 2009.
[2] V. S. Komlev, S. M. Barinov, and E. V. Koplik, “Amethod to fabricate porous spherical hydroxyapatitegranules intended for time-controlled drug release,”Biomaterials, vol. 23, no. 16, pp. 3449–3454, 2002.
[3] E. Crawley, W. Evans, and G. Owen, “A theoreticalanalysis of the accuracy of single-energy CT bonemeasurements,” Physics in Medicine and Biology,vol. 33, no. 10, pp. 1113–1127, 1988.
[4] C. Hellmich, C. Kober, and B. Erdmann,“Micromechanics-based conversion of ct datainto anisotropic elasticity tensors, applied to fesimulations of a mandible,” Annals of BiomedicalEngineering, vol. 36, pp. 108–122, 2008.[8] A. Fritsch, C. Hellmich, and L. Dormieux, “Therole of disc-type crystal shape for micromechanicalpredictions of elasticity and strength of hydroxyap-atite biomaterials,” Philosophical Transactions of theRoyal Society A: Mathematical, Physical and Engi-neering Sciences, vol. 368, no. 1917, pp. 1913–1935,2010.[9] C. Rocco, G. V. Guinea, J. Planas, and M. Elices,“Review of the splitting-test standards from a frac-ture mechanics point of view,” Cement and ConcreteResearch, vol. 31, no. 1, pp. 73–82, 2001.[10] M. Viceconti and A. Seireg, “A generalized procedurefor predicting bone mass regulation by mechanicalstrain,” Calciﬁed Tissue International, vol. 47, no. 5,pp. 296–301, 1990.[11] D. Taylor, “Fatigue of bone and bones: An analysisbased on stressed volume,” Journal of OrthopaedicResearch, vol. 16, pp. 163–169, 1998.[12] Y.-F. Hsieh, A. G. Robling, W. T. Ambrosius, D. B.Burr, and C. H. Turner, “Mechanical loading of di-aphyseal bone in vivo: The strain threshold for anosteogenic response varies with location,” Journalof Bone and Mineral Research, vol. 16, no. 12,pp. 2291–2297, 2001.[13] L. Dormieux, A. Molinari, and D. Kondo, “Microme-chanical approach to the behavior of poroelastic mate-rials,” Journal of the Mechanics and Physics of Solids,vol. 50, no. 10, pp. 2203–2231, 2002.[14] T. Mori and K. Tanaka, “Average stress in matrix andaverage elastic energy of materials with misﬁtting in-clusions,” Acta Metallurgica, vol. 21, no. 5, pp. 571–574, 1973.[15] Y. Benveniste, “A new approach to the application ofMori-Tanaka’s theory in composite materials,” Me-chanics of Materials, vol. 6, no. 2, pp. 147–157, 1987.[16] A. I. Lurje, R¨aumliche Probleme der Elas-tizit¨atstheorie [Spatial problems of elasticity theory].Akademie Verlag Berlin, 1963, in German.[17] D. Taylor, J. G. Hazenberg, and T. C. Lee, “The cel-lular transducer in damage-stimulated bone remod-elling: a theoretical investigation using fracture me-chanics,” Journal of Theoretical Biology, vol. 225,no. 1, pp. 65–75, 2003.[18] A. Fritsch, C. Hellmich, and L. Dormieux, “Ductilesliding between mineral crystals followed by ruptureof collagen crosslinks: Experimentally supported mi-cromechanical explanation of bone strength,” Journalof Theoretical Biology, vol. 260, no. 2, pp. 230–252,2009.e648
[5] A. Zaoui, “Continuum micromechanics: Survey,”Journal of Engineering Mechanics, vol. 128, no. 8,pp. 808–816, 2002.
[6] A. Fritsch, L. Dormieux, C. Hellmich, andJ. Sanahuja, “Mechanical behavior of hydroxyapatitebiomaterials: An experimentally validated microme-chanical model for elasticity and strength,” Journalof Biomedical Materials Research Part A, vol. 88A,no. 1, pp. 149–161, 2009.
[8] A. Fritsch, C. Hellmich, and L. Dormieux, “Therole of disc-type crystal shape for micromechanicalpredictions of elasticity and strength of hydroxyap-atite biomaterials,” Philosophical Transactions of theRoyal Society A: Mathematical, Physical and Engi-neering Sciences, vol. 368, no. 1917, pp. 1913–1935,2010.
[9] C. Rocco, G. V. Guinea, J. Planas, and M. Elices,“Review of the splitting-test standards from a frac-ture mechanics point of view,” Cement and ConcreteResearch, vol. 31, no. 1, pp. 73–82, 2001.
[10] M. Viceconti and A. Seireg, “A generalized procedurefor predicting bone mass regulation by mechanicalstrain,” Calciﬁed Tissue International, vol. 47, no. 5,pp. 296–301, 1990.
[11] D. Taylor, “Fatigue of bone and bones: An analysisbased on stressed volume,” Journal of OrthopaedicResearch, vol. 16, pp. 163–169, 1998.
[12] Y.-F. Hsieh, A. G. Robling, W. T. Ambrosius, D. B.Burr, and C. H. Turner, “Mechanical loading of di-aphyseal bone in vivo: The strain threshold for anosteogenic response varies with location,” Journalof Bone and Mineral Research, vol. 16, no. 12,pp. 2291–2297, 2001.
[13] L. Dormieux, A. Molinari, and D. Kondo, “Microme-chanical approach to the behavior of poroelastic mate-rials,” Journal of the Mechanics and Physics of Solids,vol. 50, no. 10, pp. 2203–2231, 2002.
[14] T. Mori and K. Tanaka, “Average stress in matrix andaverage elastic energy of materials with misﬁtting in-clusions,” Acta Metallurgica, vol. 21, no. 5, pp. 571–574, 1973.
[15] Y. Benveniste, “A new approach to the application ofMori-Tanaka’s theory in composite materials,” Me-chanics of Materials, vol. 6, no. 2, pp. 147–157, 1987.
[16] A. I. Lurje, R¨aumliche Probleme der Elas-tizit¨atstheorie [Spatial problems of elasticity theory].Akademie Verlag Berlin, 1963, in German.
[17] D. Taylor, J. G. Hazenberg, and T. C. Lee, “The cel-lular transducer in damage-stimulated bone remod-elling: a theoretical investigation using fracture me-chanics,” Journal of Theoretical Biology, vol. 225,no. 1, pp. 65–75, 2003.
[18] A. Fritsch, C. Hellmich, and L. Dormieux, “Ductilesliding between mineral crystals followed by ruptureof collagen crosslinks: Experimentally supported mi-cromechanical explanation of bone strength,” Journalof Theoretical Biology, vol. 260, no. 2, pp. 230–252,2009.e648[5] A. Zaoui, “Continuum micromechanics: Survey,”Journal of Engineering Mechanics, vol. 128, no. 8,pp. 808–816, 2002.[6] A. Fritsch, L. Dormieux, C. Hellmich, andJ. Sanahuja, “Mechanical behavior of hydroxyapatitebiomaterials: An experimentally validated microme-chanical model for elasticity and strength,” Journalof Biomedical Materials Research Part A, vol. 88A,no. 1, pp. 149–161, 2009.[7] A. Fritsch, L. Dormieux, and C. Hellmich, “Porouspolycrystals built up by uniformly and axisymmet-rically oriented needles: homogenization of elasticproperties,” Comptes Rendus M´ecanique, vol. 334,no. 3, pp. 151–157, 2006.
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Abstract
DOI:
10.2316/J.2012.216.764-0046
From Journal
(216) Biomedical Engineering - 2012
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