Fracture resistance of human cortical bone across multiple length-scales at physiological strain rates.

While most fracture-mechanics investigations on bone have been performed at low strain rates, physiological fractures invariably occur at higher loading rates. Here, at strain rates from 10(-5) to 10(-1) s(-1), we investigate deformation and fracture in bone at small length-scales using in situ small-angle x-ray scattering (SAXS) to study deformation in the mineralized collagen fibrils and at the microstructural level via fracture-mechanics experiments to study toughening mechanisms generating toughness through crack-tip shielding. Our results show diminished bone toughness at increasing strain rates as cracks penetrate through the osteons at higher strain rates instead of deflecting at the cement lines, which is a prime toughening mechanism in bone at low strain rates. The absence of crack deflection mechanisms at higher strain rates is consistent with lower intrinsic bone matrix toughness. In the SAXS experiments, higher fibrillar strains at higher strain rates suggest less inelastic deformation and thus support a lower intrinsic toughness. The increased incidence of fracture induced by high strain rates can be associated with a loss in toughness in the matrix caused by a strain rate induced stiffening of the fibril ductility, i.e., a "locking-up" of the viscous sliding and sacrificial bonding mechanisms, which are the origin of inelastic deformation (and toughness) in bone at small length-scales.

[1]  S. Cummings,et al.  Epidemiology and outcomes of osteoporotic fractures , 2002, The Lancet.

[2]  D. Nicolella,et al.  Micromechanical modeling of R-curve behaviors in human cortical bone. , 2012, Journal of the mechanical behavior of biomedical materials.

[3]  L. Lanyon,et al.  Limb mechanics as a function of speed and gait: a study of functional strains in the radius and tibia of horse and dog. , 1982, The Journal of experimental biology.

[4]  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.

[5]  K. Vecchio,et al.  Dynamic fracture of bovine bone , 2006 .

[6]  Asa H. Barber,et al.  Nano-mechanical properties of individual mineralized collagen fibrils from bone tissue , 2011, Journal of The Royal Society Interface.

[7]  R. O. Ritchie,et al.  The dentin–enamel junction and the fracture of human teeth , 2005, Nature materials.

[8]  Johannes E. Schindelin,et al.  Fiji: an open-source platform for biological-image analysis , 2012, Nature Methods.

[9]  G. Evans,et al.  The response of equine cortical bone to loading at strain rates experienced in vivo by the galloping horse. , 1992, Equine veterinary journal.

[10]  R. Ritchie,et al.  The Multiscale Origins of Fracture Resistance in Human Bone and Its Biological Degradation , 2012 .

[11]  R O Ritchie,et al.  Effect of aging on the transverse toughness of human cortical bone: evaluation by R-curves. , 2011, Journal of the mechanical behavior of biomedical materials.

[12]  H. Kirchner Ductility and brittleness of bone , 2006 .

[13]  A. Evans,et al.  Crack deflection processes—II. Experiment , 1983 .

[14]  Huajian Gao,et al.  On optimal hierarchy of load-bearing biological materials , 2011, Proceedings of the Royal Society B: Biological Sciences.

[15]  John W. Hutchinson,et al.  Crack deflection at an interface between dissimilar elastic-materials , 1989 .

[16]  Angelo Karunaratne,et al.  Intrafibrillar plasticity through mineral/collagen sliding is the dominant mechanism for the extreme toughness of antler bone. , 2013, Journal of the mechanical behavior of biomedical materials.

[17]  A. Y. Krasovskii Mechanisms of fatigue crack propagation in metals , 1980 .

[18]  Jacqueline A. Cutroni,et al.  Sacrificial bonds and hidden length dissipate energy as mineralized fibrils separate during bone fracture , 2005, Nature materials.

[19]  D B Burr,et al.  Composition of the cement line and its possible mechanical role as a local interface in human compact bone. , 1988, Journal of biomechanics.

[20]  Paul Roschger,et al.  From brittle to ductile fracture of bone , 2006, Nature materials.

[21]  Hrishikesh Bale,et al.  Age-related changes in the plasticity and toughness of human cortical bone at multiple length scales , 2011, Proceedings of the National Academy of Sciences.

[22]  C. M. Agrawal,et al.  The role of collagen in determining bone mechanical properties , 2001, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[23]  D B Burr,et al.  Resistance to crack growth in human cortical bone is greater in shear than in tension. , 1996, Journal of biomechanics.

[24]  A. Palazoglu,et al.  Nanoscale heterogeneity promotes energy dissipation in bone. , 2007, Nature materials.

[25]  K. Vecchio,et al.  Loading rate effects on the R-curve behavior of cortical bone. , 2011, Acta biomaterialia.

[26]  R O Ritchie,et al.  Mechanistic aspects of fracture and R-curve behavior in human cortical bone. , 2005, Biomaterials.

[27]  Robert O Ritchie,et al.  On the effect of X-ray irradiation on the deformation and fracture behavior of human cortical bone. , 2010, Bone.

[28]  D. Vashishth,et al.  Influence of nonenzymatic glycation on biomechanical properties of cortical bone. , 2001, Bone.

[29]  A. Goodship,et al.  Bone deformation recorded in vivo from strain gauges attached to the human tibial shaft. , 1975, Acta orthopaedica Scandinavica.

[30]  Peter Zioupos,et al.  The effect of strain rate on the mechanical properties of human cortical bone. , 2008, Journal of biomechanical engineering.

[31]  Wolfgang Wagermaier,et al.  Cooperative deformation of mineral and collagen in bone at the nanoscale , 2006, Proceedings of the National Academy of Sciences.

[32]  Howard A. Padmore,et al.  A SAXS/WAXS/GISAXS Beamline with Multilayer Monochromator , 2010 .

[33]  D B Burr,et al.  In vivo measurement of human tibial strains during vigorous activity. , 1996, Bone.

[34]  A. Boskey,et al.  Dilatational band formation in bone , 2012, Proceedings of the National Academy of Sciences.

[35]  Markus J. Buehler,et al.  Molecular nanomechanics of nascent bone: fibrillar toughening by mineralization , 2007 .

[36]  W. Bonfield,et al.  Fracture mechanics of bone--the effects of density, specimen thickness and crack velocity on longitudinal fracture. , 1984, Journal of biomechanics.

[37]  Jan Ilavsky,et al.  Nika : software for two-dimensional data reduction , 2012 .

[38]  E. Vajda,et al.  Cement lines of secondary osteons in human bone are not mineral-deficient: new data in a historical perspective. , 2005, The anatomical record. Part A, Discoveries in molecular, cellular, and evolutionary biology.

[39]  A. Redaelli,et al.  Viscoelastic properties of model segments of collagen molecules. , 2012, Matrix biology : journal of the International Society for Matrix Biology.

[40]  Steve Weiner,et al.  THE MATERIAL BONE: Structure-Mechanical Function Relations , 1998 .

[41]  Georg N Duda,et al.  Increased calcium content and inhomogeneity of mineralization render bone toughness in osteoporosis: mineralization, morphology and biomechanics of human single trabeculae. , 2009, Bone.

[42]  P Zioupos,et al.  Changes in the stiffness, strength, and toughness of human cortical bone with age. , 1998, Bone.

[43]  Fengchun Jiang,et al.  Effects of age and loading rate on equine cortical bone failure. , 2011, Journal of the mechanical behavior of biomedical materials.

[44]  N. Sasaki,et al.  Time-resolved X-ray diffraction from tendon collagen during creep using synchrotron radiation. , 1999, Journal of biomechanics.

[45]  A. Evans Perspective on the Development of High‐Toughness Ceramics , 1990 .

[46]  J. Mcelhaney,et al.  Dynamic response of bone and muscle tissue. , 1966, Journal of applied physiology.

[47]  R. Ritchie,et al.  Vitamin D Deficiency Induces Early Signs of Aging in Human Bone, Increasing the Risk of Fracture , 2013, Science Translational Medicine.

[48]  W C Hayes,et al.  Prediction of femoral impact forces in falls on the hip. , 1991, Journal of biomechanical engineering.

[49]  R O Ritchie,et al.  The true toughness of human cortical bone measured with realistically short cracks. , 2008, Nature materials.

[50]  R. Ritchie,et al.  On the Fracture Toughness of Advanced Materials , 2009 .

[51]  M. H. Pope,et al.  The response of compact bone in tension at various strain rates , 1974, Annals of Biomedical Engineering.

[52]  F. Silver,et al.  Transition from viscous to elastic-based dependency of mechanical properties of self-assembled type I collagen fibers , 2001 .

[53]  Simon Y Tang,et al.  Characterization of the effects of x-ray irradiation on the hierarchical structure and mechanical properties of human cortical bone. , 2011, Biomaterials.

[54]  W. Hayes,et al.  The compressive behavior of bone as a two-phase porous structure. , 1977, The Journal of bone and joint surgery. American volume.

[55]  J. Currey,et al.  The effects of strain rate, reconstruction and mineral content on some mechanical properties of bovine bone. , 1975, Journal of biomechanics.

[56]  Michael Hahn,et al.  Decrease in the Osteocyte Lacunar Density Accompanied by Hypermineralized Lacunar Occlusion Reveals Failure and Delay of Remodeling in Aged Human Bone , 2022 .

[57]  U. Hansen,et al.  Microcracking damage and the fracture process in relation to strain rate in human cortical bone tensile failure. , 2008, Journal of biomechanics.

[58]  D. Burr,et al.  Morphology of the osteonal cement line in human bone , 1987, The Anatomical record.

[59]  Anthony G. Evans,et al.  Crack deflection processes—I. Theory , 1983 .

[60]  R. Ritchie Mechanisms of fatigue-crack propagation in ductile and brittle solids , 1999 .

[61]  Himadri S. Gupta,et al.  Nanoscale deformation mechanisms in bone. , 2005, Nano letters.