Interfacial fracture toughness between bovine cortical bone and cements

To evaluate the bonding strength of the interfaces within the cemented arthroplasty system, various mechanical tests have been used. Conventional push-out and pull-out tests cannot reveal the actual bonding property of the interface because of the significant influence of surface roughness on the measured adhesion and the failure to account for the mismatch of elastic modulus across the interface. An alternative fracture mechanics approach, which considers the mix of opening and shear modes of the crack tip loading associated with the testing system and the elastic mismatch of materials across the interface, was used to evaluate the bonding ability of various cements. The four-point bend interfacial delamination test by Charalambides et al. (J. Appl. Mech. 56 (1989) 77; Mech. Mater. 8 (1990) 269) was used to quantify the bonding ability of cements. This method is arguably more suitable since the applied loading mode is comparable to the nature of loading within the prosthetic system, which is primarily bending. The bovine bone specimens were polished to mirror finish to eliminate bonding by mechanical interlocking. The results revealed minimal bonding for the conventional bone cement (PMMA) whereas substantial bonding was evident for the glass-ionomer cements tested. However, only the conventional glass-ionomer cements showed evidence of bonding on testing, while the resin-modified glass-ionomer cement (poly-HEMA) did not. The latter appeared to debond before testing because of excessive expansion stresses associated with swelling in water.     

Microstructural heterogeneity and the fracture toughness of bone

Age-related changes in the skeleton often lead to an increase in the susceptibility of bone to fracture. The purpose of this study was to determine whether differences in material properties between the osteonal and interstitial regions of bone have an effect on bone fracture properties. Parameters such as longitudinal fracture toughness, transverse fracture toughness, porosity, interstitial microhardness, osteonal microhardness, bone density, and weight fractions of the mineral and organic phases of bone were examined as a function of age using female baboon femurs. With increasing age, the longitudinal fracture toughness decreased significantly as did transverse fracture toughness, whereas the interstitial microhardness increased. However, no significant differences in the other parameters were observed as a function of age. Using the ratio of interstitial microhardness to osteonal microhardness as a measure of the differences in the material properties in these two regions, correlation analysis revealed that the longitudinal fracture toughness of bone has a significant correlation with the microhardness ratio. Localized differences in material properties between osteonal and interstitial regions of bone increase with age; such differences may result in high stress concentrations at cement lines and facilitate longitudinal crack propagation.     

异体皮质人工骨复合物治疗骨折不愈合及骨缺损

背景：异体皮质干燥异体骨为多孔状结构,孔均匀且相互贯通,孔径200 µm 左右,在形态结构上与人类无机骨极为相似。 目的：观察应用骨形态发生蛋白-骨髓间充质干细胞-异体皮质人工骨复合物治疗骨折不愈合及骨缺损的临床效果。 方法：选择33例创伤性骨缺损患者,其中男19例,女14例;年龄26-85岁。首先提取患者自体骨髓间充质干细胞,进一步以异体皮质人工骨为支架材料,同时导入骨形态发生蛋白和骨髓间充质干细胞,通过人工合成方式制成骨形态发生蛋白-骨髓间充质干细胞-异体皮质人工骨复合物,植入骨缺损处,每例植入人工骨复合物20-45 g。 结果与结论：随访6个月-2.5年,根据Mankin及Komender等对同种异体骨移植结果的评分标准,满意32例,不满意1例。复查X射线片示32例达骨性愈合,其中新鲜骨折愈合时间2-7个月,陈旧性骨折愈合时间4-9个月。同种异体松质骨6-9周开始与自体骨融合爬行替代。1例感染性骨缺损移植后迟发性感染,去除内固定及同种异体骨,置管冲洗、局部稳定后再次植骨愈合,随访2年1个月骨感染未复发;1例钢板松动致骨折未愈合,再次行内固定、自体骨移植后骨折愈合。表明应用骨形态发生蛋白-骨髓间充质干细胞-异体皮质人工骨复合物治疗骨折不愈合及骨缺损无明显不良反应,修复效果良好。中国组织工程研究杂志出版内容重点：生物材料;骨生物材料; 口腔生物材料; 纳米材料; 缓释材料; 材料相容性;组织工程全文链接：     

The effect of strain rate on fracture toughness of human cortical bone: a finite element study

Evaluating the mechanical response of bone under high loading rates is crucial to understanding fractures in traumatic accidents or falls. In the current study, a computational approach based on cohesive finite element modeling was employed to evaluate the effect of strain rate on fracture toughness of human cortical bone. Two-dimensional compact tension specimen models were simulated to evaluate the change in initiation and propagation fracture toughness with increasing strain rate (range: 0.08–18 s⁻¹). In addition, the effect of porosity in combination with strain rate was assessed using three-dimensional models of micro-computed tomography-based compact tension specimens. The simulation results showed that bone’s resistance against the propagation of a crack decreased sharply with increase in strain rates up to 1 s⁻¹ and attained an almost constant value for strain rates larger than 1 s⁻¹. On the other hand, initiation fracture toughness exhibited a more gradual decrease throughout the strain rates. There was a significant positive correlation between the experimentally measured number of microcracks and the fracture toughness found in the simulations. Furthermore, the simulation results showed that the amount of porosity did not affect the way initiation fracture toughness decreased with increasing strain rates, whereas it exacerbated the same strain rate effect when propagation fracture toughness was considered. These results suggest that strain rates associated with falls lead to a dramatic reduction in bone’s resistance against crack propagation. The compromised fracture resistance of bone at loads exceeding normal activities indicates a sharp reduction and/or absence of toughening mechanisms in bone during high strain conditions associated with traumatic fracture.     

Mixed-mode fracture of human cortical bone

Although the mode I (tensile opening) fracture toughness has been the focus of most fracture mechanics studies of human cortical bone, bones in vivo are invariably loaded multiaxially. Consequently, an understanding of mixed-mode fracture is necessary to determine whether a mode I fracture toughness test provides the appropriate information to accurately quantify fracture risk. In this study, we examine the mixed-mode fracture of human cortical bone by characterizing the crack-initiation fracture toughness in the transverse (breaking) orientation under combined mode I (tensile opening) plus mode II (shear) loading using samples loaded in symmetric and asymmetric four-point bending. Whereas in most structural materials, the fracture toughness is increased with increasing mode-mixity (i.e., where the shear loading component gets larger), in the transverse orientation of bone the situation is quite different. Indeed, the competition between the maximum applied mechanical mixed-mode driving force and the weakest microstructural paths in bone results in a behavior that is distinctly different to most homogeneous brittle materials. Specifically, in this orientation, the fracture toughness of bone is markedly decreased with increasing mode-mixity.     

The fracture toughness of titanium-fiber-reinforced bone cement.

Fracture of the poly(methyl methacrylate) bone cement mantle can lead to the loosening and ultimate failure of cemented total joint prostheses. The addition of fibers to the bone cement increases fracture resistance and may reduce, if not eliminate, in vivo fracturing. This study discusses the effect of incorporating titanium (Ti) fibers on fracture toughness. Essential characteristics of the composite bone cement included a homogeneous and uniform fiber distribution, and a minimal increase in apparent viscosity of the polymerizing cement. Ti fiber contents of 1%, 2%, and 5% by volume increased the fracture toughness over non-reinforced bone cement by up to 56%. Bone cements of two different viscosities were used as matrix material, but when reinforced with the same fiber type and content, they showed no difference in fracture toughness. Four different fiber aspect ratios (68, 125, 227, 417) were tested. At 5% fiber content, there was no statistically significant dependence of fracture toughness on fiber aspect ratio. Scanning electron microscopy revealed important toughening mechanisms such as fiber/matrix debonding, local fracture path alteration, and ductile fiber deformation and fracture. Fiber fracture was evidence that the critical fiber length was exceeded. The surfaces of the Ti fibers were rough and irregular, indicating that a high degree of mechanical interlock between matrix and fiber was likely. The energy absorption contribution of plastic deformation and ductile fracture is absent in brittle fibers, like carbon, but is a distinction of the Ti fibers used in this study.     

Calculation of porosity and osteonal cement line effects on the effective fracture toughness of cortical bone in longitudinal crack growth

Based on the microscopic analyses of cracks and correlational studies demonstrating evidence for a relationship between fracture toughness and microstructure of cortical bone, an equation was derived for bone fracture toughness in longitudinal crack growth, using debonding at osteonal cement lines and weakening effect of pores as main crack mechanisms. The correlation between the measured and predicted values of fracture toughness was highly significant but weak for a single optimal value of matrix to cement line fracture toughness ratio. Using fracture toughness values and histomorphometrical parameters from an available data set, matrix to cement line fracture toughness ratio was calculated for human femoral bone. Based on these calculations it is suggested that the effect of an osteon on fracture toughness will depend on the cement line's ability to compensate for the pore in an osteon. Matrix to cement line fracture toughness ratio significantly increased with increasing age, suggesting that the effectiveness of osteons in energy absorption may be reduced in the elderly due to a change in cement line properties.     

皮持骨在拉伸型,剪切型和撕裂型加载条件下的断裂韧性——纵向断裂…

对以质骨在拉伸、剪切和撕裂型载荷下的裂纹启裂韧性进行了研究。总数为１３０个紧凑拉式样,紧凑剪切试样和三腿型试样分别用于测量骨的拉伸型、剪切型和撕裂型启裂韧性。多试样柔度法用来测定当ａ／Ｗ＝０．５５（１,裂纹长度,Ｗ,试样宽度）时的临界能量释放率。临界应力强度因子由ａ／Ｗ＝０．５５的试样在试验中得到的临界载荷来计算。为了考察骨力学 各是性对于它的剪切型和撕裂裂纹启裂韧性的影响,对骨试样的裂纹扩展方向     

Mechanistic aspects of the fracture toughness of elk antler bone

Bone is an adaptive material that is designed for different functional requirements; indeed, bones have a variety of properties depending on their role in the body. To understand the mechanical response of bone requires the elucidation of its structure–function relationships. Here, we examine the fracture toughness of compact bone of elk antler, which is an extremely fast-growing primary bone designed for a totally different function than human (secondary) bone. We find that antler in the transverse (breaking) orientation is one of the toughest biological materials known. Its resistance to fracture is achieved during crack growth (extrinsically) by a combination of gross crack deflection/twisting and crack bridging via uncracked “ligaments” in the crack wake, both mechanisms activated by microcracking primarily at lamellar boundaries. We present an assessment of the toughening mechanisms acting in antler as compared to human cortical bone, and identify an enhanced role of inelastic deformation in antler which further contributes to its (intrinsic) toughness.     

Correlation between impact strength and fracture toughness of PMMA-based bone cements

The thrust of the work involved determining the impact strength, IS (in kJ m(-2)) [using non-ASTM-sized Charpy-type specimens and an in-house impact tester] and fracture toughness, K1c (in MPa square root(m)) [using ASTM-sized rectangular compact tension specimens] of Surgical Simplex P and three variants of Palacos R acrylic bone cements. The attractions and drawbacks of this method for determining IS are detailed. The best fit to the K1c and IS results yielded a power relationship K1c = 0.795(IS)(0.59). The usefulness and limitations of this relationship are detailed.     

Relationship between fracture toughness and impact strength of acrylic bone cement

This work involved determining the fracture toughness, KIc (in MPa(square root)m) (using rectangular compact tension specimens) and impact strength, IS (in kJ/m2) (Charpy type specimens) of Surgical Simplex P and three variants of Palacos R acrylic bone cements. The best fit to these results yielded a power relationship KIc = 0.795(IS)0.59. The usefulness of this relationship is detailed, especially for the purpose of performing quality control checks on bone cements.     

Estimation of the elastic modulus of child cortical bone specimens via microindentation

Purpose: Non-pathological child cortical bone (NPCCB) studies can provide clinicians with vital information and insights. However, assessing the anisotropic elastic properties of NPCCB remains a challenge for the biomechanical engineering community. For the first time, this paper provides elastic moduli values for NPCCB specimens in two perpendicular directions (longitudinal and transverse) and for two different structural components of bone tissue (osteon and interstitial lamellae).

Materials and Methods: Microindentation is one of the reference methods used to measure bone stiffness. Here, 8 adult femurs (mean age 82 ± 8.9 years), 3 child femurs (mean age 13.3 ± 2.1 years), and 16 child fibulae (mean age 10.2 ± 3.9 years) were used to assess the elastic moduli of adult and child bones by microindentation.

Results: For adult specimens, the mean moduli measured in this study are 18.1 (2.6) GPa for osteons, 21.3 (2.3) GPa for interstitial lamellae, and 13.8 (1.7) GPa in the transverse direction.

For child femur specimens, the mean modulus is 14.1 (0.8) GPa for osteons, lower than that for interstitial lamellae: 15.5 (1.5) GPa. The mean modulus is 11.8 (0.7) GPa in the transverse direction. Child fibula specimens show a higher elastic modulus for interstitial lamellae 15.8 (1.5) than for osteons 13.5 (1.6), with 10.2 (1) GPa in the transverse direction.

Conclusion: For the first time, NPCCB elastic modulus values are provided in longitudinal and transverse directions at the microscale level.     

弯曲应力作用下兔胫骨骨干皮质骨的骨重建方式

背景：骨所承受的应力变化是骨重建的重要刺激源。目前应力与骨重建关系的研究集中在轴向应力对骨重建的影响,而对弯曲应力环境下的骨重建模式缺乏研究。 目的：观察在长期弯曲应力作用下生长期兔胫骨骨干皮质骨骨重建的方式。 方法：在兔左胫骨近端内侧骨骺线远侧0.5 cm处开一直径2.5 mm骨窗,用冰盐水将兔胫骨及记忆合金片降温,降温后将记忆合金片拉直后经骨窗置入胫骨髓腔。记忆合金置入方向：使其复温后两端抵在外侧骨皮质上,弧形顶点抵向内侧骨皮质,缝合伤口。通过胫骨髓腔内置入的形状记忆合金片,给予兔胫骨骨干内部施加持续弯曲应力,观察胫骨骨干皮质骨在长期弯曲应力环境下骨重建的模式。 结果与结论：在6个月持续弯曲应力作用下,兔胫骨骨干张应力侧骨皮质变薄,压应力侧骨皮质增厚,胫骨未观察到明显弯曲形变,压力侧骨皮质增厚程度与胫骨上的应力分布有关。结构完整的胫骨对弯曲应力表现出一种内在的“抗性”,说明无骨折长骨骨干部分基本上不具备力线矫正潜力。实验结果提示,弯曲应力下兔胫骨骨干皮质骨骨重建模型创伤小,应力可控,不影响骨的生长和代谢,不限制实验动物活动,更符合生理状态,是一个理想的骨重建动物模型。     

Effect of loading rate on the apparent fracture toughness of acrylic bone cement

In this study, a determination is made of the effect of loading rate, v (0.1 mm min(-1) versus 1.0 mm min(-1) versus 10 mm min(-1)) on the value of the plane strain fracture toughness, K(Ic), of three commercial formulations of acrylic bone cement (Osteopal), CMW3, and Copal), that are characterized as "low-", "medium-", and "high-" viscosity brands, respectively). For all formulations, K(Ic) increases with increase in v. However, while this trend is statistically significant for CMW3 and Copal, this is not so for Osteopal. The CMW3 and Copal results are explained in terms of changes of the molecular relaxation transitions in the cement and the thermal state at the crack tip of the test specimen. Two implications of the findings are discussed. In the case of Osteopal, a recommendation for further study is made.     

Effect of lithotriptor treatment on the fracture toughness of acrylic bone cement.

Extracorporeal shock wave lithotripsy (ESWL) has now been established as an efficacious non-invasive modality for the management of renal calculi and has shown promise for management of other types of stone, as well. Following on from these successes, ESWL has recently been proposed for use in the preliminary stages of revision of cemented total hip joint replacements as a means of breaking up the cement mantle. It is useful, therefore, to examine the effect of shock waves on pertinent mechanical properties of the cement. This study utilizes the chevron-notch short-rod specimen and a commercially available test system to obtain the values of one such property, namely fracture toughness, of Palacos Radiopaque bone cement before and after treatment with shock waves delivered from a lithotriptor. The fracture toughness drops by about 14% following the shock wave treatment, thus confirming the possibility that ESWL can be used, as indicated earlier, in revision arthroplasty.     

Fatigue and fracture toughness of acrylic bone cements modified with long-chain amine activators

The composition of acrylic bone cement has been identified as one of the important parameters affecting its mechanical properties and may, in turn, ultimately influence the longevity of a cemented arthroplasty. Our aim in this study was to determine the influence of change of one compositional variable, the activator, on the fatigue performance and fracture toughness of specimens of the fully cured cement. To that end, three sets of cements were prepared, containing either the conventional activator, 4-N,N dimethyl p-toluidine (DMPT), or novel ones that are tertiary amines based on long-chain fatty acids, that is, 4-N,N dimethylaminobenzyl oleate (DMAO) and 4-N,N dimethylaminobenzyl laurate (DMAL). In the fatigue tests, the specimens were subjected to tension-tension loading, and the results (number of cycles to failure, Nf) were analyzed using the linearized form of the three-parameter Weibull equation. The fracture toughness (KIc) tests were conducted with rectangular compact tension specimens. All fracture surfaces were subsequently examined with scanning electron microscopy. We found that the Weibull mean fatigue lives for specimens fabricated using the DMPT, DMAL, and DMAO containing cements were 272,823, 453,551, and 583,396 cycles, respectively. The corresponding values for KIc were 1.94 +/- 0.05, 2.06 +/- 0.09, and 2.00 +/- 0.07 MPa radical m, respectively. Statistical analyses showed that for both the DMAL- and DMAO-containing cements, the mean values of Nf were significantly higher compared to the corresponding value for the DMPT-containing cement (Mann-Whitney test; alpha < 0.10). This result is attributed to the higher molecular weights of the former cements compared to the latter. The same trend was found for the mean KIc values (Mann-Whitney test; alpha < 0.05), with the trend being explained in terms of the differences seen in the crack morphologies. These results thus demonstrate that these novel amines are viable alternatives to DMPT for incorporation into acrylic bone cement formulations in the future.     

Strain transfer between a CPC coated strain gauge and cortical bone during bending

The finite element method was used to simulate strain transfer from bone to a calcium phosphate ceramic (CPC) coated strain gauge. The model was constructed using gross morphometric and histological measurements obtained from previous experimental studies. Material properties were assigned based on experiments and information from the literature. Boundary conditions simulated experimental cantilever loading of rat femora. The model was validated using analytical solutions based on the theory of elasticity as well as direct comparison to experimental data obtained in a separate study. The interface between the bone and strain gauge sensing surface consisted of layers of polysulfone, polysulfone/CPC, and CPC/bone. Parameter studies examined the effect of interface thickness and modulus, gauge geometry, partial gauge debonding, and waterproofing on the strain transfer from the bone to the gauge sensing element. Results demonstrated that interface thickness and modulus have a significant effect on strain transfer. Optimal strain transfer was achieved for an interface modulus of approximately 2 GPa. Strain transfer decreased consistently with increasing interface thickness. Debonding along the lateral edges of the gauge had little effect, while debonding proximal and distal to the sensing element decreased strain transfer. A waterproofing layer decreased strain transfer, and this effect was more pronounced as the modulus or thickness of the layer increased. Based on these simulations, specific recommendations were made to optimize strain transfer between bone and CPC coated gauges for experimental studies.     

Effect of aging on the transverse toughness of human cortical bone: evaluation by R-curves

The age-related deterioration in the quality (e.g., strength and fracture resistance) and quantity (e.g., bone-mineral density) of human bone, together with increased life expectancy, is responsible for increasing incidence of bone fracture in the elderly. The present study describes ex vivo fracture experiments to quantitatively assess the effect of aging on the fracture toughness properties of human cortical bone specifically in the transverse (breaking) orientation. Because bone exhibits rising crack-growth resistance with crack extension, the aging-related transverse toughness is evaluated in terms of resistance-curve (R-curve) behavior, measured for bone taken from a wide range of age groups (25–74 years). Using this approach, both the ex vivo crack-initiation and crack-growth toughness are determined and are found to deteriorate with age; however, the effect is far smaller than that reported for the longitudinal toughness of cortical bone. Whereas the longitudinal crack-growth toughness has been reported to be reduced by almost an order of magnitude for human cortical bone over this age range, the corresponding age-related decrease in transverse toughness is merely ∼14%. Similar to that reported for X-ray irradiated bone, with aging cracks in the transverse direction are subjected to an increasing incidence of crack deflection, principally along the cement lines, but the deflections are smaller and result in a generally less tortuous crack path.     

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.     

Relative influence of composition and viscosity of acrylic bone cement on its apparent fracture toughness

The composition and viscosity of an acrylic bone cement have both been identified in the literature as being parameters that affect the mechanical properties of the material and, by extension, the in vivo longevity of cemented arthroplasties. The objective of the present study was to determine the relative influence of these parameters on a key cement mechanical property; namely, its fracture toughness. Two sets of cements were selected purposefully to allow the study objective to be achieved. Thus, one set comprised two cements with very similar compositions but very different viscosities (Cemex RX, a medium-viscosity brand, and Cemex Isoplastic, a high-viscosity brand) while the other set comprised two cements with similar viscosities but with many differences in composition (Cemex Isoplastic and CMW 1). Values of the fracture toughness (as determined using chevron-notched short rod specimens) [K(ISR)] obtained for Cemex RX and Cemex Isoplastic were 1.83 +/- 0.12 and 1.85 +/- 0.12 MPa square root(m), respectively, with the difference not being statistically significant. The K(ISR) values obtained for Cemex Isoplastic and CMW 1 were 1.85 +/- 0.12 and 1.64 +/- 0.18 MPa square root(m), respectively, with the difference being statistically significant. Thus, the influence of cement composition on its K(ISR) is more marked relative to the influence of cement viscosity. Explanations of this finding are offered, together with comments on the implications of the results for the in vivo longevity of cemented arthroplasties.