Microstructure Determines Apparent‐Level Mechanics Despite Tissue‐Level Anisotropy and Heterogeneity of Individual Plates and Rods in Normal Human Trabecular Bone

2021 ◽  
Author(s):  
Y. Eric Yu ◽  
Yizhong Jenny Hu ◽  
Bin Zhou ◽  
Ji Wang ◽  
X. Edward Guo
Keyword(s):  
Trabecular Bone ◽  
Tissue Level ◽  
Human Trabecular Bone ◽  
Normal Human ◽  
Apparent Level

Inverse Finite Element Modeling for Characterization of Local Elastic Properties in Image-Guided Failure Assessment of Human Trabecular Bone

2015 ◽  
Vol 137 (1) ◽  
Author(s):  
Alexander Zwahlen ◽  
David Christen ◽  
Davide Ruffoni ◽  
Philipp Schneider ◽  
Werner Schmölz ◽  
...  
Keyword(s):  
Trabecular Bone ◽  
Bone Structure ◽  
Experimental Studies ◽  
Tissue Level ◽  
Heterogeneous Distribution ◽  
Human Trabecular Bone ◽  
Young’S Moduli ◽  
Failure Assessment ◽  
Experimental Strain

The local interpretation of microfinite element (μFE) simulations plays a pivotal role for studying bone structure–function relationships such as failure processes and bone remodeling. In the past μFE simulations have been successfully validated on the apparent level, however, at the tissue level validations are sparse and less promising. Furthermore, intratrabecular heterogeneity of the material properties has been shown by experimental studies. We proposed an inverse μFE algorithm that iteratively changes the tissue level Young’s moduli such that the μFE simulation matches the experimental strain measurements. The algorithm is setup as a feedback loop where the modulus is iteratively adapted until the simulated strain matches the experimental strain. The experimental strain of human trabecular bone specimens was calculated from time-lapsed images that were gained by combining mechanical testing and synchrotron radiation microcomputed tomography (SRμCT). The inverse μFE algorithm was able to iterate the heterogeneous distribution of moduli such that the resulting μFE simulations matched artificially generated and experimentally measured strains.

Distribution of Collagen Cross-Links in Normal Human Trabecular Bone

2003 ◽  
Vol 18 (11) ◽  
pp. 1942-1946 ◽  
Author(s):  
EP Paschalis ◽  
R Recker ◽  
E Dicarlo ◽  
SB Doty ◽  
E Atti ◽  
...  
Keyword(s):  
Trabecular Bone ◽  
Human Trabecular Bone ◽  
Cross Links ◽  
Normal Human

Biaxial Failure Behavior of Bovine Tibial Trabecular Bone

2002 ◽  
Vol 124 (6) ◽  
pp. 699-705 ◽  
Author(s):  
Glen L. Niebur ◽  
Michael J. Feldstein ◽  
Tony M. Keaveny
Keyword(s):  
Trabecular Bone ◽  
Volume Fraction ◽  
Yield Criterion ◽  
Failure Mechanisms ◽  
Tissue Level ◽  
Failure Behavior ◽  
Transverse Loading ◽  
Wide Range ◽  
Plain Strain ◽  
Apparent Level

Multiaxial failure properties of trabecular bone are important for modeling of whole bone fracture and can provide insight into structure-function relationships. There is currently no consensus on the most appropriate form of multiaxial yield criterion for trabecular bone. Using experimentally validated, high-resolution, non-linear finite element models, biaxial plain strain boundary conditions were applied to seven bovine tibial specimens. The dependence of multiaxial yield properties on volume fraction was investigated to quantify the interspecimen heterogeneity in yield stresses and strains. Two specimens were further analyzed to determine the yield properties for a wide range of biaxial strain loading conditions. The locations and quantities of tissue level yielding were compared for on-axis, transverse, and biaxial apparent level yielding to elucidate the micromechanical failure mechanisms. As reported for uniaxial loading of trabecular bone, the yield strains in multiaxial loading did not depend on volume fraction, whereas the yield stresses did. Micromechanical analysis indicated that the failure mechanisms in the on-axis and transverse loading directions were mostly independent. Consistent with this, the biaxial yield properties were best described by independent curves for on-axis and transverse loading. These findings establish that the multiaxial failure of trabecular bone is predominantly governed by the strain along the loading direction, requiring separate analytical expressions for each orthotropic axis to capture the apparent level yield behavior.

scholarly journals Effect of Intraspecimen Spatial Variation in Tissue Mineral Density on the Apparent Stiffness of Trabecular Bone

2015 ◽  
Vol 137 (1) ◽  
Author(s):  
Narges Kaynia ◽  
Elaine Soohoo ◽  
Tony M. Keaveny ◽  
Galateia J. Kazakia
Keyword(s):  
Finite Element ◽  
High Resolution ◽  
Spatial Variation ◽  
Trabecular Bone ◽  
Gold Standard ◽  
Mineral Density ◽  
Human Trabecular Bone ◽  
Apparent Stiffness ◽  
Tissue Mineral Density ◽  
Apparent Level

This study investigated the effects of intraspecimen variations in tissue mineral density (TMD) on the apparent-level stiffness of human trabecular bone. High-resolution finite element (FE) models were created for each of 12 human trabecular bone specimens, using both microcomputed tomography (μCT) and “gold-standard” synchrotron radiation μCT (SRμCT) data. Our results confirm that incorporating TMD spatial variation reduces the calculated apparent stiffness compared to homogeneous TMD models. This effect exists for both μCT- and SRμCT-based FE models, but is exaggerated in μCT-based models. This study provides a direct comparison of μCT to SRμCT data and is thereby able to conclude that the influence of including TMD heterogeneity is overestimated in μCT-based models.

Age-related changes in resorption cavity characteristics in human trabecular bone

1991 ◽  
Vol 1 (4) ◽  
pp. 257-261 ◽  
Author(s):  
P. I. Croucher ◽  
N. J. Garrahan ◽  
R. W. E. Mellish ◽  
Juliette E. Compston
Keyword(s):  
Trabecular Bone ◽  
Human Trabecular Bone ◽  
Age Related ◽  
Cavity Characteristics ◽  
Age Related Changes

scholarly journals Biaxial Normal Strength Behavior in the Axial-Transverse Plane for Human Trabecular Bone—Effects of Bone Volume Fraction, Microarchitecture, and Anisotropy

2013 ◽  
Vol 135 (12) ◽  
Author(s):  
Arnav Sanyal ◽  
Tony M. Keaveny
Keyword(s):  
Trabecular Bone ◽  
Volume Fraction ◽  
Elastic Anisotropy ◽  
Bone Volume ◽  
Transverse Plane ◽  
Mechanical Anisotropy ◽  
Bone Volume Fraction ◽  
Human Trabecular Bone ◽  
Strength Behavior ◽  
Normal Strength

The biaxial failure behavior of the human trabecular bone, which has potential relevance both for fall and gait loading conditions, is not well understood, particularly for low-density bone, which can display considerable mechanical anisotropy. Addressing this issue, we investigated the biaxial normal strength behavior and the underlying failure mechanisms for human trabecular bone displaying a wide range of bone volume fraction (0.06–0.34) and elastic anisotropy. Micro-computed tomography (CT)-based nonlinear finite element analysis was used to simulate biaxial failure in 15 specimens (5 mm cubes), spanning the complete biaxial normal stress failure space in the axial-transverse plane. The specimens, treated as approximately transversely isotropic, were loaded in the principal material orientation. We found that the biaxial stress yield surface was well characterized by the superposition of two ellipses—one each for yield failure in the longitudinal and transverse loading directions—and the size, shape, and orientation of which depended on bone volume fraction and elastic anisotropy. However, when normalized by the uniaxial tensile and compressive strengths in the longitudinal and transverse directions, all of which depended on bone volume fraction, microarchitecture, and mechanical anisotropy, the resulting normalized biaxial strength behavior was well described by a single pair of (longitudinal and transverse) ellipses, with little interspecimen variation. Taken together, these results indicate that the role of bone volume fraction, microarchitecture, and mechanical anisotropy is mostly accounted for in determining the uniaxial strength behavior and the effect of these parameters on the axial-transverse biaxial normal strength behavior per se is minor.

scholarly journals Development of a Crushable Foam Model for Human Trabecular Bone

2021 ◽  
Author(s):  
Navid Soltanihafshejani ◽  
Thom Bitter ◽  
Dennis Janssen ◽  
Nico Verdonschot
Keyword(s):  
Trabecular Bone ◽  
Human Trabecular Bone ◽  
Foam Model
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