Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-20T09:14:32.477Z Has data issue: false hasContentIssue false

Load transfer in bovine plexiform bone determined by synchrotron x-ray diffraction

Published online by Cambridge University Press:  31 January 2011

R. Akhtar*
Affiliation:
School of Materials, The University of Manchester, Manchester M1 7HS, United Kingdom
M.R. Daymond
Affiliation:
Department of Mechanical and Materials Engineering, Queen’s University, Kingston, Ontario K7L 3N6, Canada
J.D. Almer
Affiliation:
X-Ray Operations and Research (XOR), Advanced Photon Source, Argonne National Laboratory, Argonne, Illinois 60439
P.M. Mummery
Affiliation:
School of Materials, The University of Manchester, Manchester M1 7HS, United Kingdom
*
a) Address all correspondence to this author. e-mail: [email protected]
Get access

Abstract

High-energy synchrotron x-ray diffraction (XRD) has been used to quantify load transfer in bovine plexiform bone. By using both wide-angle and small-angle XRD, strains in the mineral as well as the collagen phase of bone were measured as a function of applied compressive stress. We suggest that a greater proportion of the load is borne by the more mineralized woven bone than the lamellar bone as the applied stress increases. With a further increase in stress, load is shed back to the lamellar regions until macroscopic failure occurs. The reported data fit well with reported mechanisms of microdamage accumulation in bovine plexiform bone.

Type
Articles
Copyright
Copyright © Materials Research Society 2007

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1Zioupos, P.Currey, J.D.: The extent of microcracking and the morphology of microcracks in damaged bone. J. Mater. Sci. 29, 978 1994CrossRefGoogle Scholar
2Ascenzi, A., Bonucci, E.Bocciarelli, D.S.: An electron microscope study on primary periosteal bone. J. Ultrastruct. Res. 18, 605 1967CrossRefGoogle Scholar
3Leng, H.L.: Micro-computed tomography of microdamage in cortical bone. Ph.D. Thesis, University of Notre Dame, South Bend, IN 2006Google Scholar
4Almer, J.D.Stock, S.R.: Internal strains and stresses measured in cortical bone via high-energy x-ray diffraction. J. Struct. Biol. 152, 14 2005CrossRefGoogle ScholarPubMed
5Almer, J.D.Stock, S.R.: Micromechanical response of mineral and collagen phases in bone. J. Struct. Biol. 157, 365 2007CrossRefGoogle ScholarPubMed
6Gupta, H.S., Wagermaier, W., Zickler, G.A., Aroush, D.R-B., Funari, S.S., Roschger, P., Wagner, H.D.Fratzl, P.: Nanoscale deformation mechanisms in bone. Nano Lett. 5, 2108 2005CrossRefGoogle ScholarPubMed
7Gupta, H.S., Seto, J., Wagermaier, W., Zaslansky, P., Boesecke, P.Fratzl, P.: Cooperative deformation of mineral and collagen in bone at the nanoscale. Proc. Natl. Acad. Sci. U.S.A. 103, 17741 2006CrossRefGoogle Scholar
8Clausen, B., Lorentzen, T., Bourke, M.A.M.Daymond, M.R.: Lattice strain evolution during uniaxial tensile loading of stainless steel. Mater. Sci. Eng., A 259, 17 1999CrossRefGoogle Scholar
9Wanner, A.Dunand, D.C.: Synchrotron x-ray study of bulk lattice strains in externally loaded cu-mo composites. Metall. Mater. Trans. A 31, 2949 2000CrossRefGoogle Scholar
10Oliver, W.C.Pharr, G.M.: Measurement of hardness and elastic modulus by instrumented indentation: advances in understanding and refinements to methodology. J. Mater. Res. 19, 3 2004CrossRefGoogle Scholar
11Rho, J-Y., Tsui, T.Y.Pharr, G.M.: Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation. Biomaterials 18, 1325 1997CrossRefGoogle ScholarPubMed
12Frischbutter, A., Neov, D., Scheffzuk, C., Vrana, M.Walther, K.: Lattice strain measurements on sandstones under load using neutron diffraction. J. Struct. Geol. 22, 1587 2000CrossRefGoogle Scholar
13Covey-Crump, S.J., Schofield, P.F.Stretton, I.C.: Strain partitioning during the elastic deformation of an olivine–mangesiowustite aggregate. Geophys. Res. Lett. 28, 4647 2001CrossRefGoogle Scholar
14Oliver, E.C., Daymond, M.R.Withers, P.J.: Interphase and intergranular stress generation in carbon steels. Acta. Mater. 52, 1937 2004CrossRefGoogle Scholar
15Hammersley, A.P.: FIT2D: An Introduction and Overview., European Synchrotron Radiation Facility(ESRF) Internal Report, ESRF97HA02T. ESRF: Grenoble, France 1997Google Scholar
16Daymond, M.R., Bourke, M.A.M.Von Dreele, R.B.: Use of Rietveld refinement to fit hexagonal crystal structures in the presence of elastic and plastic anisotropy. J. Appl. Phys. 85, 739 1999CrossRefGoogle Scholar
17Daymond, M.R.: Internal stresses in crystalline aggregates. Rev. Mineral. Geochem. 63, 427 2006CrossRefGoogle Scholar
18Carter, D.H.Bourke, M.A.M.: Neutron diffraction study of the deformation behavior of beryllium–aluminum composites. Acta Mater. 48, 2885 2000CrossRefGoogle Scholar
19Martin, R.B.J.Ishida, J.: The relative effects of collagen fiber orientation, porosity, density, and mineralization on bone strength. J. Biomech. 22, 419 1989CrossRefGoogle ScholarPubMed
20Sasaki, N.Sudoh, Y.: X-ray pole figure analysis of apatite crystals and collagen molecules in bone. Calcif. Tissue Int. 60, 361 1997CrossRefGoogle ScholarPubMed
21Smith, J.W.: Collagen fibre patterns in mammalian bone. J. Anat. 94, 329 1960Google ScholarPubMed
22Su, X., Sun, K., Cui, F.Z.Landis, W.J.: Organization of apatite crystals in human woven bone. Bone 32, 150 2003CrossRefGoogle ScholarPubMed
23Currey, J.D.: Bones: Structure and Mechanics Princeton University Press Princeton, NJ 2002CrossRefGoogle Scholar
24Reilly, G.C.Currey, J.D.: The effects of damage and microcracking on the impact strength of bone. J. Biomech. 33, 337 2000CrossRefGoogle ScholarPubMed
25Lauterbach, B.Gross, D.: The role of nucleation and growth of microcracks in brittle solids under compression: A numerical study. Acta Mech. 159, 199 2002CrossRefGoogle Scholar
26Borsato, K.S.Sasaki, N.: Measurement of partition of stress between mineral and collagen phases in bone using x-ray diffraction techniques. J. Biomech. 30, 955 1997CrossRefGoogle ScholarPubMed
27Fujisaki, K., Tadano, S.Sasaki, N.: A method on strain measurement of HAP in cortical bone from diffusive profile of x-ray diffraction. J. Biomech. 39, 579 2006CrossRefGoogle ScholarPubMed