Internal strain gradients quantified in bone under load using high-energy X-ray scattering

Journal of Biomechanics

Volumn 44, Issue 2, 2011, Pages 291-296

  Stock, S R ^a   Yuan, Fang ^b   Brinson, L C ^b   Almer, J D ^c  

^a NORTHWESTERN UNIVERSITY   (United States)

^b Northwestern University   (United States)

^c ARGONNE NATIONAL LABORATORY   (United States)

Author keywords

Bone; Finite element analysis; Internal stress measurement; Wide angle X ray scattering (WAXS); X ray diffraction

Indexed keywords

APPLIED STRESS; BOVINE FEMURS; CARBONATED HYDROXYAPATITES; CIRCULAR RING; CORTICAL BONE; EXPERIMENTAL DATA; FINITE ELEMENT ANALYSIS; FINITE ELEMENT MODELING; FINITE ELEMENT MODELS; HIGH ENERGY X RAY; HIGH-ENERGY SYNCHROTRON X-RAYS; INTERNAL STRAINS; INTERNAL STRESS; MINERAL PHASE; PROOF OF PRINCIPLES; RAT TIBIA; RESIDUAL STRAINS; STANDARD METHOD; STRESS CONCENTRATORS; SURROUNDING MATERIALS; TRANSMITTED BEAMS; UNIT CELLS; WIDE-ANGLE X-RAY SCATTERING; X-RAY DETECTOR;

APATITE; ASTATINE; BONE; DIFFRACTION; FINITE ELEMENT METHOD; GAGES; HIGH ENERGY PHYSICS; HYDROXYAPATITE; PHOSPHATE MINERALS; SCATTERING; STRESS ANALYSIS; STRESS CONCENTRATION; STRESS MEASUREMENT; X RAY DIFFRACTION; X RAY DIFFRACTION ANALYSIS; X RAY SCATTERING; X RAYS;

STRAIN;

HYDROXYAPATITE;

ANIMAL TISSUE; ARTICLE; BIOMECHANICS; BONE; BONE MINERAL; COMPRESSION; CORTICAL BONE; FEMUR; FINITE ELEMENT ANALYSIS; IMAGE DISPLAY; MATHEMATICAL MODEL; MECHANICAL STRESS; NONHUMAN; PRIORITY JOURNAL; QUANTITATIVE ANALYSIS; RAT; TIBIA; X RAY ANALYSIS;

ANIMALS; BONE AND BONES; CATTLE; DURAPATITE; FEMUR; FINITE ELEMENT ANALYSIS; PRESSURE; RATS; RATS, SPRAGUE-DAWLEY; SCATTERING, RADIATION; STRESS, MECHANICAL; SYNCHROTRONS; TIBIA; X-RAY MICROTOMOGRAPHY; X-RAYS;

EID: 78650970211     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jbiomech.2010.10.015     Document Type: Article

References (28)

1. Akhtar R., Daymond M.R., Almer J.D., Mummery P.M. Load transfer in bovine plexiform bone determined by synchrotron X-ray diffraction. Journal of Materials Research 2008, 23:543-550.
2. Al-Jawad M., Streuwer A., Kilcoyne S.H., Shore R.C., Cywinski R., Wood D.J. 2D mapping of texture and lattice parameters of dental enamel. Biomaterials 2007, 28:2908-2914.
3. Almer J.D., Stock S.R. Internal strains and stresses measured in cortical bone via high-energy X-ray diffraction. Journal of Structural Biology 2005, 152:14-27.
4. Almer, J.D., Stock, S.R., 2006. Probing the micro-mechanical of bone via high-energy X-rays. In: Macrander, A., Haeffner, D. (Eds.), Proceedings of the SRMS-5 Conference. Advanced Photon Source, Argonne National Laboratory, Chicago, paper 128.
5. Almer J.D., Stock S.R. Micromechanical response of mineral and collagen phases in bone. Journal of Structural Biology 2007, 157:365-370.
6. Almer, J.D., Stock, S.R., 2010. Loading-related strain gradients spanning the mature bovine dentinoenamel junction (DEJ): quantification using high energy X-ray scattering. Journal of Biomechanics 43, 2294-2300.
7. Ascenzi A., Benvenuti A., Bigi A., Foresti E., Koch M.H., Mango F., Ripamonti A., Roveri N. X-ray diffraction on cyclically loaded osteons. Calcified Tissue International. 1998, 62:266-273.
8. Baig A.A., Fox J.L., Young R.A., Wang Z., Hsu J., Higuchi W.I., Chhettry A., Zhang H., Otsuko M. Relationship among carbonated apatite solubility, crystallite size and microstrain parameters. Calcified Tissue International 1999, 64:437-449.
9. Barth H.D., Launey M.E., MacDowell A.A., Ager J.W.I., Ritchie R.O. On the effect of X-ray irradiation on the deformation and fracture behavior of human cortical bone. Bone 2010, 46:1475-1485.
10. Borsato K.S., Sasaki N. Measurement of partition of stress between mineral and collagen phases in bone using X-ray diffraction techniques. Journal of Biomechanics 1997, 30:955-957.
11. Cullity B.D., Stock S.R. Elements of X-ray Diffraction 2001, Prentice Hall, Upper Saddle River, NJ.
12. Currey J.D. Bones-Structure and Mechanics 2002, Princeton University Press, Princeton.
13. Currey J.D., Foreman J., Laketic I., Mitchell J., Pegg D.E., Reilly G.C. Effects of ionizing radiation on the mechanical properties of human bone. Journal of Orthopedic Research 1997, 15:111-117.
14. Deymier A.C., Almer J.D., Stock S.R., Haeffner D.R., Dunand D.C. Synchrotron X-ray diffraction study of load partitioning during elastic deformation of bovine dentin. Acta Biomaterialia 2010, 6:2172-2180.
15. Fratzl P., Gupta H.S., Paschalis E.P., Roschger P. Structure and mechanical quality of the collagen-mineral nano-composite in bone. Journal of Materials Chemistry 2004, 14:2115-2123.
16. Fujisaki K., Tadano S. Relationship between bone tissue strain and lattice strain of HAp crystals in bovine cortical bone under tensile loading. Journal of Biomechanics 2007, 40:1832-1838.
17. Fujisaki K., Tadano S., Sasaki N. A method on strain measurement of HAP in cortical bone from diffusive profile of X-ray diffraction. Journal of Biomechanics 2006, 39:579-586.
18. Gupta H.S., Wagemaier W., Zickler G.A., Hartmann J., Funari S.S., Roschger P., Wagner H.D., Fratzl P. Fibrillar level fracture in bone beyond the yield point. International Journal of Fracture 2006, 139:425-436.
19. Gupta H.S., Wagemaier W., Zickler G.A., Raz-Ben Aroush D., Funari S.S., Roschger P., Wagner H.D., Fratzl P. Nanoscale deformation mechanisms in bone. Nano Letters 2005, 5:2108-2111.
20. He, B.B., Smith, K.L., 1998. Fundamental equations of strain and stress measurement using 2D detectors. In: Proceeding of the Society of Experimental Mechanics Spring Conference. Society of Experimental Mechanics, Houston, pp. 217-220.
21. Hubbel, J.H.Seltzer, S.M., 2006. Tables of X-ray mass attenuation coefficients and mass energy-absorption coefficients. NISTIR 5632, http://physics.nist.gov/PhysRefData/XrayMassCoef/cover.html.
22. Noyan I.C., Cohen J.B. Residual Stress: Measurement by Diffraction and Interpretation 1987, Springer, New York.
23. Smith C.B., Smith D.A. An X-ray diffraction investigation of age-related changes in the crystal structure of bone apatite. Calcified Tissue Research 1976, 22:219-226.
24. Stock S.R. MicroComputed Tomography: Methodology and Applications 2008, Taylor and Francis, Boca Raton, FL.
25. Stock S.R., De Carlo F., Almer J.D. High energy X-ray scattering tomography applied to bone. Journal of Structural Biology 2008, 161:144-150.
26. Weiner S., Wagner H.D. The material bone: structure-mechanical function relations. Annual Reviews of Materials Science 1998, 28:271-298.
27. Wenk H.R., Heidelbach F. Crystal alignment of carbonated apatite in bone and calcified tendon: results from quantitative texture analysis. Bone 1999, 24:361-369.
28. Yuan, F., Stock, S.R., Haeffner, D.R., Almer, J.D., Dunand, D.C., Brinson, L.C.. Simulation of the elastic properties of mineralized collagen fibril. Biomechanics and Modeling in Mechanobiology, in press, doi:. http://10.1007/s10237-010-0223-9.