An application of nanoindentation technique to measure bone tissue Lamellae properties.

Measuring the microscopic mechanical properties of bone tissue is important in support of understanding the etiology and pathogenesis of many bone diseases. Knowledge about these properties provides a context for estimating the local mechanical environment of bone related cells thait coordinate the adaptation to loads experienced at the whole organ level. The objective of this study was to determine the effects of experimental testing parameters on nanoindentation measures of lamellar-level bone mechanical properties. Specifically, we examined the effect of specimen preparation condition, indentation depth, repetitive loading, time delay, and displacement rate. The nanoindentation experiments produced measures of lamellar elastic moduli for human cortical bone (average value of 17.7 +/- 4.0 GPa for osteons and 19.3 +/- 4.7 GPa for interstitial bone tissue). In addition, the hardness measurements produced results consistent with data in the literature (average 0.52 +/- 0.15 GPa for osteons and 0.59 +/- 0.20 GPa for interstitial bone tissue). Consistent modulus values can be obtained from a 500-nm-deep indent. The results also indicated that the moduli and hardnesses of the dry specimens are significantly greater (22.6% and 56.9%, respectively) than those of the wet and wet and embedded specimens. The latter two groups were not different. The moduli obtained at a 5-nm/s loading rate were significantly lower than the values at the 10- and 20-nm/s loading rates while the 10- and 20-nm/s rates were not significantly different. The hardness measurements showed similar rate-dependent results. The preliminary results indicated that interstitial bone tissue has significantly higher modulus and hardness than osteonal bone tissue. In addition, a significant correlation between hardness and elastic modulus was observed.

[1]  R. King,et al.  Elastic analysis of some punch problems for a layered medium , 1987 .

[2]  R. B. Ashman,et al.  Elastic modulus of trabecular bone material. , 1988, Journal of biomechanics.

[3]  J Y Rho,et al.  Elastic properties of microstructural components of human bone tissue as measured by nanoindentation. , 1999, Journal of biomedical materials research.

[4]  S J Hollister,et al.  A global relationship between trabecular bone morphology and homogenized elastic properties. , 1998, Journal of biomechanical engineering.

[5]  Guo X. Edward,et al.  Is Trabecular Bone Tissue Different from Cortical Bone Tissue , 1998 .

[6]  William D. Nix,et al.  A method for interpreting the data from depth-sensing indentation instruments , 1986 .

[7]  W. Hayes,et al.  Finite element analysis of a three-dimensional open-celled model for trabecular bone. , 1985, Journal of biomechanical engineering.

[8]  Yuan Sheng Cheng,et al.  Intrinsic mechanical competence of cortical and trabecular bone measured by nanoindentation and microindentation probes , 1995 .

[9]  G. Pharr,et al.  Microstructural elasticity and regional heterogeneity in human femoral bone of various ages examined by nano-indentation. , 2002, Journal of biomechanics.

[10]  L. Mosekilde,et al.  A model of vertebral trabecular bone architecture and its mechanical properties. , 1990, Bone.

[11]  S A Goldstein,et al.  Heterogeneity of bone lamellar-level elastic moduli. , 2000, Bone.

[12]  J. Currey,et al.  Hardness, an indicator of the mechanical competence of cancellous bone , 1989, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[13]  R. Rose,et al.  Buckling studies of single human trabeculae. , 1975, Journal of biomechanics.

[14]  Robert P. Heaney,et al.  Is there a role for bone quality in fragility fractures? , 2005, Calcified Tissue International.

[15]  J. K. Weaver The microscopic hardness of bone. , 1966, The Journal of bone and joint surgery. American volume.

[16]  J. Currey,et al.  Mechanical properties of microcallus in human cancellous bone , 1992, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[17]  L. S. Matthews,et al.  The limitations of canine trabecular bone as a model for human: a biomechanical study. , 1989, Journal of biomechanics.

[18]  J. L. Williams,et al.  Tensile testing of rodlike trabeculae excised from bovine femoral bone. , 1989, Journal of biomechanics.

[19]  A. Ascenzi,et al.  The tensile properties of single osteons , 1967, The Anatomical record.

[20]  S. Goldstein,et al.  Age, gender, and bone lamellae elastic moduli , 2000, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[21]  S. Goldstein,et al.  Elastic modulus and hardness of cortical and trabecular bone lamellae measured by nanoindentation in the human femur. , 1999, Journal of biomechanics.

[22]  W. C. Hayes,et al.  Tensile testing of bone over a wide range of strain rates: effects of strain rate, microstructure and density , 1976, Medical and biological engineering.

[23]  A. Curnier,et al.  A 3D damage model for trabecular bone based on fabric tensors. , 1996, Journal of biomechanics.

[24]  J. Currey,et al.  Microhardness and Young's modulus in cortical bone exhibiting a wide range of mineral volume fractions, and in a bone analogue , 1990 .

[25]  D. Carlström Micro-hardness measurements on single haversian systems in bone , 1954, Experientia.

[26]  F. Linde,et al.  Mechanical properties of trabecular bone. Dependency on strain rate. , 1991, Journal of Biomechanics.

[27]  D. H. Isaac,et al.  Human bone microstructure studied by collagenase etching. , 1989, The Journal of bone and joint surgery. British volume.

[28]  A. Burstein,et al.  The elastic and ultimate properties of compact bone tissue. , 1975, Journal of biomechanics.

[29]  S. Goldstein,et al.  The elastic moduli of human subchondral, trabecular, and cortical bone tissue and the size-dependency of cortical bone modulus. , 1990, Journal of biomechanics.

[30]  R. Pidaparti,et al.  Experimental investigation of Poisson's ratio as a damage parameter for bone fatigue. , 2002, Journal of biomedical materials research.

[31]  S. Weiner,et al.  Microstructure-microhardness relations in parallel-fibered and lamellar bone. , 1996, Bone.

[32]  G. Pharr,et al.  Effects of anisotropy on elastic moduli measured by nanoindentation in human tibial cortical bone. , 2001, Journal of biomedical materials research.

[33]  R. Amprino Investigations on some physical properties of bone tissue. , 1958, Acta anatomica.

[34]  R. B. Ashman,et al.  Young's modulus of trabecular and cortical bone material: ultrasonic and microtensile measurements. , 1993, Journal of biomechanics.

[35]  A. Ascenzi,et al.  An investigation on the mechanical anisotropy of the alternatelystructured osteons , 1976, Calcified Tissue Research.

[36]  A. Burstein,et al.  The Mechanical Properties of Cortical Bone , 1974 .

[37]  I. N. Sneddon The relation between load and penetration in the axisymmetric boussinesq problem for a punch of arbitrary profile , 1965 .

[38]  J. Pugh,et al.  The micro-mechanics of cancellous bone. II. Determination of the elastic modulus of individual trabeculae by a buckling analysis. , 1975, Bulletin of the Hospital for Joint Diseases.

[39]  A study of turbulent combustion and its modeling using a diffusion reaction equation model , 1996 .

[40]  A Ascenzi,et al.  The micromechanics versus the macromechanics of cortical bone--a comprehensive presentation. , 1988, Journal of biomechanical engineering.

[41]  D T Davy,et al.  Some viscoplastic characteristics of bovine and human cortical bone. , 1988, Journal of biomechanics.

[42]  S A Goldstein,et al.  A comparison of the fatigue behavior of human trabecular and cortical bone tissue. , 1992, Journal of biomechanics.

[43]  G. Pharr,et al.  Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation. , 1997, Biomaterials.

[44]  J. Lewis,et al.  Experimental method for the measurement of the elastic modulus of trabecular bone tissue , 1989, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[45]  G. Pharr,et al.  Effects of drying on the mechanical properties of bovine femur measured by nanoindentation , 1999, Journal of materials science. Materials in medicine.

[46]  A. Ascenzi,et al.  Relationship between mechanical properties and structure in secondary bone. , 1986, Connective tissue research.

[47]  R M Rose,et al.  A structural model for the mechanical behavior of trabecular bone. , 1973, Journal of biomechanics.

[48]  W C Hayes,et al.  Mechanical behavior of damaged trabecular bone. , 1994, Journal of biomechanics.

[49]  W. Hayes,et al.  Bone compressive strength: the influence of density and strain rate. , 1976, Science.

[50]  J. Currey,et al.  Hardness, Young's modulus and yield stress in mammalian mineralized tissues , 1990 .

[51]  George M. Pharr,et al.  On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation , 1992 .

[52]  W C Hayes,et al.  Age-related differences in post-yield damage in human cortical bone. Experiment and model. , 1996, Journal of biomechanics.

[53]  A. Ascenzi,et al.  The compressive properties of single osteons , 1968, The Anatomical record.

[54]  G. Pharr,et al.  An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments , 1992 .

[55]  J. Lewis,et al.  Properties and an anisotropic model of cancellous bone from the proximal tibial epiphysis. , 1982, Journal of biomechanical engineering.