Cortical Bone In Compression Research Articles

A comparison of rib cortical bone compressive and tensile material properties: Trends with age, sex, and loading rate

The objectives of this study were to develop novel methods for quantifying human rib cortical bone material properties in compression and to compare the compressive material property data to existing tensile data for matched subjects. Cylindrical coupons were obtained from the rib cortical bone of 30 subjects (M = 19, F = 11) ranging from 18 to 95 years of age (Avg. = 48.5 ± 24.3). Two coupons were obtained from each subject. One coupon was tested in compression at 0.005 strain/s, while the other coupon was tested in compression at 0.5 strain/s. Load and displacement data were recorded so that the elastic modulus, yield stress, yield strain, ultimate stress, ultimate strain, elastic strain energy density (SED), plastic SED, and total SED could be calculated. All compressive material properties were significantly different between the two loading rates. An ANOVA revealed that sex alone had no significant effect on the compressive material properties. The interaction between sex and age was significant for some material properties, but this may have been a consequence of the lack of older females in the subject pool. None of the compressive material properties were significantly correlated with age, but were more correlated with sample density. This finding differed for the tensile material properties, which showed stronger correlations with age. When comparing between tension and compression, significant differences were observed for all material properties except for the total SED, once the effects of loading rate and age had been accounted for. This was the first study to quantify the material properties of human rib cortical bone in compression. The results of this study demonstrated that rib and thorax finite element models should consider the effects of loading rate, loading mode, and age when incorporating material properties published in the literature.

Mechanical interaction between additive-manufactured metal lattice structures and bone in compression: implications for stress shielding of orthopaedic implants

One of the main biomechanical causes for aseptic failure of orthopaedic implants is the stress shielding. This is caused by an uneven load distribution across the bone normally due to a stiff metal prosthesis component, leading to periprosthetic bone resorption and to implant loosening. To reduce the stress shielding and to improve osseointegration, biocompatible porous structures suitable for orthopaedic applications have been developed. Aim of this study was to propose a novel in-vitro model of the mechanical interaction between metal lattice structures and bovine cortical bone in compression. Analysis of the strain distribution between metal structure and bone provides useful information on the potential stress shielding of orthopaedic implants with the same geometry of the porous scaffold. Full density and lattice structures obtained by the repetition of 1.5 mm edge cubic elements via Laser Powder Bed Fusion of CoCrMo powder were characterized for mechanical properties using standard compressive testing. The two porous geometries were characterized by 750 μm and 1000 μm pores resulting in a nominal porosity of 43.5% and 63.2% respectively. Local deformation and strains of metal samples coupled with fresh bovine cortical bone samples were evaluated via Digital Image Correlation analysis up to failure in compression. Visualization and quantification of the local strain gradient across the metal-bone interface was used to assess differences in mechanical behaviour between structures which could be associated to stress-shielding. Overall stiffness and local mechanical properties of lattice and bone were consistent across samples. Full-density metal samples appeared to rigidly transfer the compression force to the bone which was subjected to large deformations (2.2 ± 0.3% at 15 kN). Larger porosity lattice was associated to lower stiffness and compressive modulus, and to a smoother load transfer to the bone. While tested on a limited sample size, the proposed in-vitro model appears robust and repeatable to assess the local mechanical interaction of metal samples suitable for orthopaedic applications with the bone tissue. CoCrMo scaffolds made of 1000 μm pores cubic cells may allow for a smoother load transfer to the bone when used as constitutive material of orthopaedic implants.

Mechanical response of cortical bone in compression and tension at the mineralized fibrillar level in steroid induced osteoporosis

Nanocomposites like bone are used in vivo in a dynamic mechanical environment, and musculoskeletal fracture during traumatic events lead to pain and immobilisation, especially significant in elderly and patients with metabolic bone diseases. To mitigate against these occurrences, it is essential to understand the dynamic mechanical response of bone over short timescales, but the underlying matrix-level mechanisms are not well understood. Here, we studied the mechanical response of cortical bone at nano- and micro-scale in a mouse model with glucocorticoid induced osteoporosis and their wild type littermates using real-time synchrotron small-angle X-ray diffraction (SAXD) combined with in situ compression testing and micro-tensile testing under controlled strain rates. Under compression, the tissue modulus, yield stress, effective fibril modulus and fibrillar reorientation rate in osteoporotic bone is significantly lower than that in healthy bone. Under tension, when going from low to high strain rates, the effective fibril modulus of healthy bone increase by a factor of 4.8, but this tendency is suppressed in osteoporotic bone. Also, bone microstructure in osteoporotic showed large fraction of cavities with disrupted mineralization. Our results demonstrate how the nano- and microscale deformation mechanisms of bone ultrastructure change in osteoporotic bone under compression and tension. Our results suggest that material level changes of bone matrix contributed to the reduced mechanical competence of bone in metabolic bone diseases such as osteoporosis.

Orientation dependence of progressive post-yield behavior of human cortical bone in compression

Identifying the underlying mechanisms of energy dissipation during post-yield deformation of bone is critical in understanding bone fragility fractures. However, the orientation-dependence of post-yield properties of bone is still poorly understood. Thus, the objective of this study was to determine the effect of loading direction on the evolution of post-yield behavior of bone using a progressive loading protocol. To do so, cylindrical compressive bone samples were prepared each in the longitudinal, circumferential and radial directions, from the mid-shaft of cadaveric femurs procured from eight middle-aged male donors (51.5±3.3 years old). These specimens were tested in compression in a progressive loading scheme. The results exhibited that the elastic modulus, yield stress, and energy dissipation were significantly greater in the longitudinal direction than in the transverse (circumferential and radial) directions. However, no significant differences were observed in the yield strain as well as in the successive plastic strain with respect to the increasing applied strain among the three orientations. These results suggest that the initiation and progression of plastic strain are independent of loading orientations, thus implying that the underlying mechanism of plastic behavior of bone in compression is similar in all the orientations.

Post-yield nanomechanics of human cortical bone in compression using synchrotron X-ray scattering techniques

The ultrastructural response to applied loads governs the post-yield deformation and failure behavior of bone, and is correlated with bone fragility fractures. Combining a novel progressive loading protocol and synchrotron X-ray scattering techniques, this study investigated the correlation of the local deformation (i.e., internal strains of the mineral and collagen phases) with the bulk mechanical behavior of bone. The results indicated that the internal strains of the longitudinally oriented collagen fibrils and mineral crystals increased almost linearly with respect to the macroscopic strain prior to yielding, but markedly decreased first and then gradually leveled off after yielding. Similar changes were also observed in the applied stress before and after yielding of bone. However, the collagen to mineral strain ratio remained nearly constant throughout the loading process. In addition, the internal strains of longitudinal mineral and collagen phases did not exhibit a linear relationship with either the modulus loss or the plastic deformation of bulk bone tissue. Finally, the time-dependent response of local deformation in the mineral phase was observed after yielding. Based on the results, we speculate that the mineral crystals and collagen fibrils aligned with the loading axis only partially explain the post-yield deformation, suggesting that shear deformation involving obliquely oriented crystals and fibrils (off axis) is dominant mechanism of yielding for human cortical bone in compression.

Progressive post-yield behavior of human cortical bone in compression for middle-aged and elderly groups

In this study, a progressive loading regimen (load–dwell–unloading–dwell–reloading) was applied on bone samples to examine the compressive post-yield response of bone at increasing strain levels. Cortical bone specimens from human tibiae of two age groups (middle-aged group: 53±2 years, 4 females and 4 males, elderly group: 83±6 years, 4 females and 4 males) were loaded in compression using the progressive loading scheme. Modulus degradation, plastic deformation, viscous response, and energy dissipation of bone during post-yield deformation were assessed. Although initial modulus was not significantly different between the two age groups, the degradation of modulus with the applied strain in the elderly group was faster than in the middle-aged group. The modulus loss (or microdamage accumulation) of bone occurred prior to plastic deformation. Plastic strain had a similar linear relationship with the applied strain for both middle-aged and the elderly group although middle-aged bone yielded at a greater strain. The viscoelastic time constant changed similarly with increasing strain for the two groups, whereas a higher magnitude of stress relaxation was observed in the middle-aged group. Energy dissipation was investigated through three pathways: elastic release strain energy, hysteresis energy, and plastic strain energy. The middle-aged group had significantly greater capacity of energy dissipation than the elderly group in all three pathways. The information obtained may provide important insights in age-related effects on bone fragility.

Interrelationships among the viscoelastic functions for anisotropic solids: Application to calcified tissues and related systems

The Boltzmann superposition integral is applied to the anisotropic solid in order to derive relationships between various viscoelastic functions for orthotropic solids with special emphasis on describing biological systems such as calcified and connective tissues. These relations show that the results of uniaxial tension or compression experiments are rather complicated functions of the stiffness modulus tensor elements; as such the data could not be readily treated in a theoretical manner. On the other hand, torsional type experiments can be used to directly yield the appropriate shear elements of the tensor. Applying these derived relationships, the experimental results on cortical bone in uniaxial compression were transformed by means of computer techniques into a common representation (the complex dynamic modulus). The lack of agreement among these transformed results, based on the data from several different experimenters, as well as the failure of data from individual experiments to satisfy internal consistency tests, lead to the conclusion that the Boltzmann integral fails to describe properly the viscoelastic properties of cortical bone in compression. This implies that linear viscoelasticity theory, invariably assumed for bone, does not apply to bone in compression over the entire frequency range studied. For the purpose of comparison, dynamic moduli for synthetic (PMMA and high density linear polyethylene) and other natural (dentin and cancellous bone) materials are also presented. Fourier analytic techniques similar to those used for the above have been applied to the time-dependence of knee-joint forces obtained from gaiting studies.