Toughening in hierarchically structured materials like bone arises from the arrangement of constituent material elements and their interactions. Unlike microcracking, which entails micrometer-level separation, there is no known evidence of fracture at the level of bone's nanostructure. Here, we show that the initiation of fracture occurs in bone at the nanometer scale by dilatational bands. Through fatigue and indentation tests and laser confocal, scanning electron, and atomic force microscopies on human and bovine bone specimens, we established that dilatational bands of the order of 100 nm form as ellipsoidal voids in between fused mineral aggregates and two adjacent proteins, osteocalcin (OC) and osteopontin (OPN). Laser microdissection and ELISA of bone microdamage support our claim that OC and OPN colocalize with dilatational bands. Fracture tests on bones from OC and/or OPN knockout mice (OC −/− , OPN −/− , OC-OPN −/−;−/− ) confirm that these two proteins regulate dilatational band formation and bone matrix toughness. On the basis of these observations, we propose molecular deformation and fracture mechanics models, illustrating the role of OC and OPN in dilatational band formation, and predict that the nanometer scale of tissue organization, associated with dilatational bands, affects fracture at higher scales and determines fracture toughness of bone.noncollagenous proteins | diffuse damage | energy dissipation I n hierarchically structured materials, the composition and spatial arrangement of nanoscale elements are the key determinants of toughness (1, 2). In comparison with many man-made materials, cortical bone is well known for its superior toughness (3, 4). Bone's ability to resist crack propagation originates from its highly complex hierarchical material structure ( Fig. 1). At the highest level of material structure in adult human bone lie the osteons (0.1-0.2 mm in diameter) that contribute to toughness by trapping microcracks (5, 6) and participate in the formation of "uncracked ligaments" (7). Osteons are made of multiple 3-to 7-μm-thick sheets (lamellae) of mineralized matrix. Individual lamellae have the ability to slide past each other (8, 9), forming 60-to 130-μm-long linear microcracks (9) that provide resistance to fracture through microcrack toughening (10). Individual mineralized collagen fibrils <1μm thick, which make up the lamellae, bridge the crack surfaces and toughen the bone (7). Bone's ability to crack, and not fracture by propagating that crack, is therefore a key fundamental aspect of the toughening mechanisms at the microstructural level (10).Recent evidence suggests that bone's nanostructure contributes to bone toughness (11). The nonfibrillar and ductile extrafibrillar matrix components in bone can serve as a "glue" between stiffened mineralized collagen fibrils (11) and between fibrils and mineral platelets (12). Fibril matrix shearing (13) has been proposed to enhance bone toughness through mineral interparticle friction (14) and "sacrificial bonds," a nanoscale mechanism...

Non-enzymatic glycation (NEG) is an age-related process accelerated by diseases like diabetes, and causes the accumulation of advanced glycation end-products (AGEs). NEG-mediated modification of bone’s organic matrix, principally collagen type-I, has been implicated in impairing skeletal physiology and mechanics. Here, we present evidence, from in vitro and in vivo models, and establish a causal relationship between collagen glycation and alterations in bone fracture at multiple length scales. Through atomic force spectroscopy, we established that NEG impairs collagen’s ability to dissipate energy. Mechanical testing of in vitro glycated human bone specimen revealed that AGE accumulation due to NEG dramatically reduces the capacity of organic and mineralized matrix to creep and caused bone to fracture under impact at low levels of strain (3000–5000 μstrain) typically associated with fall. Fracture mechanics tests of NEG modified human cortical bone of varying ages, and their age-matched controls revealed that NEG disrupted microcracking based toughening mechanisms and reduced bone propagation and initiation fracture toughness across all age groups. A comprehensive mechanistic model, based on experimental and modeling data, was developed to explain how NEG and AGEs are causal to, and predictive of bone fragility. Furthermore, fracture mechanics and indentation testing on diabetic mice bones revealed that diabetes mediated NEG severely disrupts bone matrix quality in vivo. Finally, we show that AGEs are predictive of bone quality in aging humans and have diagnostic applications in fracture risk.

No abstract

a b s t r a c tA damage-based cohesive model is developed for simulating crack growth due to fatigue loading. The cohesive model follows a linear damage-dependent traction-separation relation coupled with a damage evolution equation. The rate of damage evolution is characterized by three material parameters corresponding to common features of fatigue behavior captured by the model, namely, damage accumulation, crack retardation and stress threshold. Good agreement is obtained between finite element solutions using the model and fatigue test results for an aluminum alloy under different load ratios and for the overload effect on ductile 316 L steel.

No abstract