The elastic properties of trabecular and cortical bone tissues are similar: results from two microscopic measurement techniques

Turner, Charles H.; Rho, Jae-Young; Takano, Yuichi; Tsui, Ting Y.; Pharr, George M.

doi:10.1016/s0021-9290(98)00177-8

Cited by 478 publications

(278 citation statements)

References 23 publications

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“…However, for FEA, we needed to assign modulus values for wet bone at the continuum (macroscopic) level. Based on relative comparisons of nanoindentation and continuum modulus values taken from the literature (Reilly and Burstein, 1975;Rho et al, , 2002Turner et al, 1999), we estimated that the continuum modulus of wet bone is approximately two-thirds the nanoindentation modulus of dried bone (Silva et al, 2004a). Thus, for the finiteelement model, we scaled the measured nanoindentation values and assigned values of 20 and 18.5 GPa for SAMP6 and SAMR1 cortical bone, respectively.…”

Section: Finite-element Analysis Methodsmentioning

confidence: 99%

Finite element analysis of the mouse tibia: Estimating endocortical strain during three‐point bending in SAMP6 osteoporotic mice

2005

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To support future studies of tibial bending in a murine model of senile osteoporosis (SAMP6), we sought to determine the relationship between applied external bending force and peak endocortical strain in the tibiae of SAMP6 and control SAMR1 mice. The lower hindlimbs of mice were loaded by three-point bending in the lateral-medial plane with a support length of 10 mm. Force-periosteal strain relations were first determined using standard strain gauge methods. Finite-element analysis (FEA) models of the tibia-fibula were generated based on microcomputed tomography images. After choosing appropriate boundary conditions, FEA predictions of periosteal strains were within 15% of measured values. FEA revealed a narrow (3-4 mm) region of the central tibia with well-developed bending strains (tension medially, compression laterally); outside this region, we observed high shear strains. Both the strain gauge data and the finite-element simulations indicated that the tibia of the SAMP6 mouse was 20 -25% stiffer than the SAMR1 tibia, consistent with a larger moment of inertia and higher cortical bone modulus. Thus, higher levels of force are required to produce the same target values of strain in the SAMP6 tibia. The ratio of periosteal to endocortical strain in the region of interest was similar for the two mouse strains (1.5-1.6). Based on these ratios, we scaled the strain gauge data to estimate the force-endocortical strain relations for the two mouse strains. In conclusion, FEA, with supporting strain gauge measurements, has provided unique insight regarding the strain environment throughout the tibia during three-point bending in mice.

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Section: Finite-element Analysis Methodsmentioning

confidence: 99%

Finite element analysis of the mouse tibia: Estimating endocortical strain during three‐point bending in SAMP6 osteoporotic mice

2005

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“…Material properties chosen were homogeneous, isotropic, and elastic for all voxels. Cortical bone elements were assigned a Young's modulus of 20 GPa, whereas trabecular tissue elements were assigned a Young's modulus of 17 GPa, (23) and for all elements a Poisson's ratio of 0.3 was specified.…”

Section: Finite Element Analysismentioning

confidence: 99%

Finite element analysis performed on radius and tibia HR-pQCT images and fragility fractures at all sites in men

Vilayphiou

Boutroy

Szulc

et al. 2010

Journal of Bone and Mineral Research

126

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Few studies have investigated bone microarchitecture and biomechanical properties in men. This study assessed in vivo both aspects in a population of 185 men (aged 71 AE 10 years) with prevalent fragility fractures, compared to 185 controls matched for age, height, and weight, from the Structure of the Aging Men's Bones (STRAMBO) cohort.In this case-control study, areal BMD (aBMD) was measured by DXA, bone microarchitecture was assessed by high resolution (HR)-pQCT, and finite element (mFE) analysis was based on HR-pQCT images of distal radius and tibia. A principal component (PC) analysis (PCA) was used to study the association of synthetic PCs with fracture by computing their odds ratio (OR [95%CI]) per SD change. Specific associations with vertebral fracture (n ¼ 100), and nonvertebral fracture (n ¼ 85) were also computed.At both sites, areal and volumetric BMD, cortical thickness and trabecular number, separation, and distribution were significantly worse in cases than in controls, with differences ranging from À6% to 15%. mFE-derived stiffness and failure load were 8% to 9% lower in fractures ( p < .01). No difference in load distribution was found between the two groups. After adjustment for aBMD, only differences of mFE-derived stresses, stiffness, and failure load at the tibia remained significant ( p < .05).PCA resulted in defining 4 independent PCs, explaining 83% of the total variability of bone characteristics. Nonvertebral fractures were associated with PC1, reflecting bone quantity and strength at the radius (tibia) with OR ¼

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“…where the known Young's modulus and Poisson's ratio of the indenter are 1140 GPa and 0.07, respectively, and the assumed Poisson's ratio for bone is 0.3 (Turner et al, 1999). The hardness, H, and Young's modulus E of bone are then computed.…”

Section: Nano-and Micro-indentation Measurementsmentioning

confidence: 99%

“…An increasing number of measurements of hardness and Young's modulus of bone have been made using different nano-instruments (Turner et al, 1999;Hengsberger et al, 2003;Rho and Pharr, 1999;Hoffler et al, 2005;Ashman and Rho, 1988;Fan et al, 2002;Garner et al, 2000;Fan and Rho, 2003). However, testing conditions have not been uniform.…”

Section: Introductionmentioning

confidence: 99%

“…However, testing conditions have not been uniform. For example, Turner et al (1999) indented to a depth of 1000 nm at 750 μN/s, an unloading rate of 375 μN/s, and a hold time of 10 s. Rho et al (2002), Rho and Pharr (1999), and Fan and Rho (2003) performed tests using a maximum load of 8 mN, and a 400 μN/s load rate in studying the microstructural elasticity and heterogeneity in human femoral bone. Additional researchers (Hengsberger et al, 2003;Ashman and Rho, 1988;Fan et al, 2002;Garner et al, 2000) utilized other indentation testing conditions.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Mechanical property determination of bone through nano- and micro-indentation testing and finite element simulation

Zhang

Niebur

Ovaert

2008

Journal of Biomechanics

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Measurement of the mechanical properties of bone is important for estimating the stresses and strains exerted at the cellular level due to loading experienced on a macro-scale. Nano-and micromechanical properties of bone are also of interest to the pharmaceutical industry when drug therapies have intentional or non-intentional effects on bone mineral content and strength. The interactions that can occur between nano-and micro-indentation creep test condition parameters were considered in this study, and average hardness and elastic modulus were obtained as a function of indentation testing conditions (maximum load, load/unload rate, load-holding time, and indenter shape). The results suggest that bone reveals different mechanical properties when loading increases from the nano-to the micro-scale range (μN to N), which were measured using low-and high-load indentation testing systems. A four-parameter visco-elastic/plastic constitutive model was then applied to simulate the indentation load vs. depth response over both load ranges. Good agreement between the experimental data and finite element model was obtained when simulating the visco-elastic/plastic response of bone. The results highlight the complexity of bone as a biological tissue and the need to understand the impact of testing conditions on the measured results.

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The elastic properties of trabecular and cortical bone tissues are similar: results from two microscopic measurement techniques

Cited by 478 publications

References 23 publications

Finite element analysis of the mouse tibia: Estimating endocortical strain during three‐point bending in SAMP6 osteoporotic mice

Finite element analysis of the mouse tibia: Estimating endocortical strain during three‐point bending in SAMP6 osteoporotic mice

Finite element analysis performed on radius and tibia HR-pQCT images and fragility fractures at all sites in men

Mechanical property determination of bone through nano- and micro-indentation testing and finite element simulation

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