Mechanistic aspects of fracture and R-curve behavior in human cortical bone.

An understanding of the evolution of toughness is essential for the mechanistic interpretation of the fracture of cortical bone. In the present study, in vitro fracture experiments were conducted on human cortical bone in order to identify and quantitatively assess the salient toughening mechanisms. The fracture toughness was found to rise linearly with crack extension (i.e., rising resistance- or R-curve behavior) with a mean crack-initiation toughness, K0 of approximately 2 MPa square root m for crack growth in the proximal-distal direction. Uncracked ligament bridging, which was observed in the wake of the crack, was identified as the dominant toughening mechanism responsible for the observed R-curve behavior. The extent and nature of the bridging zone was examined quantitatively using multi-cutting compliance experiments in order to assess the bridging zone length and estimate the bridging stress distribution. Additionally, time-dependent cracking behavior was observed at stress intensities well below those required for overload fracture; specifically, slow crack growth occurred at growth rates of approximately 2 x 10(-9) m/s at stress intensities approximately 35% below the crack-initiation toughness. In an attempt to measure slower growth rates, it was found that the behavior switched to a regime dominated by time-dependent crack blunting, similar to that reported for dentin; however, such blunting was apparent over much slower time scales in bone, which permitted subcritical crack growth to readily take place at higher stress intensities.

[1]  D Vashishth,et al.  Crack growth resistance in cortical bone: concept of microcrack toughening. , 1997, Journal of biomechanics.

[2]  W. Bonfield,et al.  Advances in the fracture mechanics of cortical bone. , 1987, Journal of biomechanics.

[3]  S. Stover,et al.  Osteon pullout in the equine third metacarpal bone: Effects of ex vivo fatigue , 2003, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[4]  P. Fratzl,et al.  Viscoelastic properties of collagen: synchrotron radiation investigations and structural model. , 2002, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[5]  B. Lawn Physics of Fracture , 1983 .

[6]  S. Suresh Fatigue of materials , 1991 .

[7]  M Martens,et al.  Aging of bone tissue: mechanical properties. , 1976, The Journal of bone and joint surgery. American volume.

[8]  Ashok Saxena,et al.  Review and extension of compliance information for common crack growth specimens , 1978 .

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

[10]  D Vashishth,et al.  Experimental validation of a microcracking-based toughening mechanism for cortical bone. , 2003, Journal of biomechanics.

[11]  D Vashishth,et al.  Contribution, development and morphology of microcracking in cortical bone during crack propagation. , 2000, Journal of biomechanics.

[12]  Fergal J O'Brien,et al.  Microcrack accumulation at different intervals during fatigue testing of compact bone. , 2003, Journal of biomechanics.

[13]  Bill Kahler,et al.  Fracture-toughening mechanisms responsible for differences in work to fracture of hydrated and dehydrated dentine. , 2003, Journal of biomechanics.

[14]  R. Ritchie,et al.  Crack bridging by uncracked ligaments during fatigue-crack growth in SiC-reinforced aluminum-alloy composites , 1989 .

[15]  Y. Yeni,et al.  Influence of bone composition and apparent density on fracture toughness of the human femur and tibia. , 1998, Bone.

[16]  R. Ritchie,et al.  Mechanistic fracture criteria for the failure of human cortical bone , 2003, Nature materials.

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

[18]  Giuseppe Pezzotti,et al.  Study of the toughening mechanisms in bone and biomimetic hydroxyapatite materials using Raman microprobe spectroscopy. , 2003, Journal of biomedical materials research. Part A.

[19]  A Staines,et al.  Bone adaptation to load: microdamage as a stimulus for bone remodelling , 2002, Journal of anatomy.

[20]  M. C. Nichols,et al.  X-Ray Tomographic Microscopy (XTM) Using Synchrotron Radiation , 1992 .

[21]  M. Swain,et al.  Crack‐Tip‐Bridging Stresses in Ceramic Materials , 1991 .

[22]  F. Wittmann,et al.  Experimental Method to Determine Extension of Fracture-Process Zone , 1990 .

[23]  W. Godwin Article in Press , 2000 .

[24]  S. Stover,et al.  Equine cortical bone exhibits rising R-curve fracture mechanics. , 2003, Journal of biomechanics.

[25]  P Zioupos,et al.  The role of collagen in the declining mechanical properties of aging human cortical bone. , 1999, Journal of biomedical materials research.

[26]  Yiu-Wing Mai,et al.  Crack growth resistance curves in strain-softening materials , 1986 .

[27]  Y. Yeni,et al.  Fracture toughness is dependent on bone location--a study of the femoral neck, femoral shaft, and the tibial shaft. , 2000, Journal of biomedical materials research.

[28]  D Vashishth,et al.  Fracture toughness of human bone under tension. , 1995, Journal of biomechanics.

[29]  S. Stover,et al.  Compliance calibration for fracture testing of equine cortical bone. , 2002, Journal of biomechanics.

[30]  Y. Yeni,et al.  The influence of bone morphology on fracture toughness of the human femur and tibia. , 1997, Bone.

[31]  T. Norman,et al.  Diffuse damage accumulation in the fracture process zone of human cortical bone specimens and its influence on fracture toughness , 2001, Journal of materials science. Materials in medicine.

[32]  R. Ritchie Mechanisms of fatigue crack propagation in metals, ceramics and composites: Role of crack tip shielding☆ , 1988 .

[33]  C. M. Agrawal,et al.  Microstructural heterogeneity and the fracture toughness of bone. , 2000, Journal of biomedical materials research.

[34]  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.

[35]  Xiaozhi Hu,et al.  Fracture process zone in cementitious materials , 1991 .

[36]  Theo Fett,et al.  Stress intensity factors and weight functions , 1997 .

[37]  P. Braidotti,et al.  Tensile experiments and SEM fractography on bovine subchondral bone. , 2000, Journal of biomechanics.

[38]  Surendra P. Shah,et al.  Fracture of concrete and rock : recent developments , 1989 .

[39]  B. Cox Extrinsic factors in the mechanics of bridged cracks , 1991 .

[40]  R. Heaney,et al.  Is the paradigm shifting? , 2003, Bone.

[41]  M. Swain,et al.  Fracture toughness of bovine bone: influence of orientation and storage media. , 2001, Biomaterials.

[42]  Y. Yeni,et al.  Fracture toughness of human femoral neck: effect of microstructure, composition, and age. , 2000, Bone.

[43]  Avi Pfeffer,et al.  INFLUENCE OF , 2014 .

[44]  G. Reilly,et al.  The effects of damage and microcracking on the impact strength of bone. , 2000, Journal of biomechanics.

[45]  R O Ritchie,et al.  Effect of orientation on the in vitro fracture toughness of dentin: the role of toughening mechanisms. , 2003, Biomaterials.

[46]  C. M. Agrawal,et al.  Age-related changes in the collagen network and toughness of bone. , 2002, Bone.

[47]  Surendra P. Shah,et al.  A model for predicting fracture resistance of fiber reinforced concrete , 1983 .

[48]  Technical note Nanoindentation and storage of teeth , 2002 .

[49]  H. Bueckner NOVEL PRINCIPLE FOR THE COMPUTATION OF STRESS INTENSITY FACTORS , 1970 .

[50]  Y. Mai,et al.  Crack‐Interface Grain Bridging as a Fracture Resistance Mechanism in Ceramics: II, Theoretical Fracture Mechanics Model , 1987 .

[51]  S. Suresh,et al.  Fatigue of Materials: Preface to the second edition , 1998 .

[52]  W. Bonfield,et al.  Orientation dependence of the fracture mechanics of cortical bone. , 1989, Journal of biomechanics.

[53]  P Zioupos,et al.  Mechanical properties and the hierarchical structure of bone. , 1998, Medical engineering & physics.

[54]  Y. Yeni,et al.  Calculation of porosity and osteonal cement line effects on the effective fracture toughness of cortical bone in longitudinal crack growth. , 2000, Journal of biomedical materials research.

[55]  R O Ritchie,et al.  On the origin of the toughness of mineralized tissue: microcracking or crack bridging? , 2004, Bone.

[56]  Leon M Keer,et al.  Crack growth in cement-based composites , 1984 .

[57]  J. Knott,et al.  Fundamentals of Fracture Mechanics , 2008 .

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

[59]  R O Ritchie,et al.  Crack blunting, crack bridging and resistance-curve fracture mechanics in dentin: effect of hydration. , 2003, Biomaterials.

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

[61]  J Currey,et al.  'Osteons' in biomechanical literature. , 1982, Journal of biomechanics.

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