The DOI matches its Crossref record; 36 of the 36 references it cites were found in a registry or an index.
Comparison of the elastic and yield properties of human femoral trabecular and cortical bone tissue
Abstract
The ability to determine trabecular bone tissue elastic and failure properties has biological and clinical importance. To date, trabecular tissue yield strains remain unknown due to experimental difficulties, and elastic moduli studies have reported controversial results. We hypothesized that the elastic and tensile and compressive yield properties of trabecular tissue are similar to those of cortical tissue. Effective tissue modulus and yield strains were calibrated for cadaveric human femoral neck specimens taken from 11 donors, using a combination of apparent-level mechanical testing and specimen-specific, high-resolution, nonlinear finite element modeling. The trabecular tissue properties were then compared to measured elastic modulus and tensile yield strain of human femoral diaphyseal cortical bone specimens obtained from a similar cohort of 34 donors. Cortical tissue properties were obtained by statistically eliminating the effects of vascular porosity. Results indicated that mean elastic modulus was 10% lower (p<0.05) for the trabecular tissue (18.0+/-2.8 GPa) than for the cortical tissue (19.9+/-1.8 GPa), and the 0.2% offset tensile yield strain was 15% lower for the trabecular tissue (0.62+/-0.04% vs. 0.73+/-0.05%, p<0.001). The tensile-compressive yield strength asymmetry for the trabecular tissue, 0.62 on average, was similar to values reported in the literature for cortical bone. We conclude that while the elastic modulus and yield strains for trabecular tissue are just slightly lower than those of cortical tissue, because of the cumulative effect of these differences, tissue strength is about 25% greater for cortical bone.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Results from this approach place the elastic modulus of human trabecular tissue at approximately 10% less, tensile yield strain at 15% less, and tensile/compressive tissue strength at 25% less than that of cortical bone (142).”
From Bone Mechanical Properties in Healthy and Diseased States (2018) · cites this paper as [142]
Citations
Cites
The elastic and ultimate properties of compact bone tissue
Reilly, D. T., & Burstein, A. H. (1975) · Journal of Biomechanics · doi:10.1016/0021-9290(75)90075-5 · Cited by 1,533
Cowin, S. C. (2001) · CRC Press eBooks · doi:10.1201/b14263 · Cited by 1,456
Zysset, P. K., Guo, X.-D. E., Hoffler, C. E., Moore, K. E., & Goldstein, S. A. (1999) · Journal of Biomechanics · doi:10.1016/s0021-9290(99)00111-6 · Cited by 1,001
The mechanical behaviour of cancellous bone
Gibson, L. J. (1985) · Journal of Biomechanics · doi:10.1016/0021-9290(85)90287-8 · Cited by 932
Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation
Rho, J.-Y., Tsui, T. Y., & Pharr, G. M. (1997) · Biomaterials · doi:10.1016/s0142-9612(97)00073-2 · Cited by 924
van Rietbergen, B., Weinans, H., Huiskes, R., & Odgaard, A. (1995) · Journal of Biomechanics · doi:10.1016/0021-9290(95)80008-5 · Cited by 865
Dependence of yield strain of human trabecular bone on anatomic site
Morgan, E. F., & Keaveny, T. M. (2001) · Journal of Biomechanics · doi:10.1016/s0021-9290(01)00011-2 · Cited by 705
Self-citationAging of bone tissue: mechanical properties.
Burstein, A. H., Reilly, D. T., & Martens, M. A. (1976) · PubMed · Cited by 614
Aging of bone tissue: mechanical properties
Burstein, A., Reilly, D., & Martens, M. (1976) · The Journal of Bone & Joint Surgery · doi:10.2106/00004623-197658010-00015 · Cited by 569
Turner, C. H., Rho, J., Takano, Y., Tsui, T. Y., & Pharr, G. M. (1999) · Journal of Biomechanics · doi:10.1016/s0021-9290(98)00177-8 · Cited by 547
Cited by
Sorted by citations
Items 101–200 of 1,000
Zohar Yosibash, A., Tal, D., & Trabelsi, N. (2010) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2010.0074 · Cited by 86
“Other studies measured the yield strain instead, assumed to be independent of the density, which for the cortical region is (Bayraktar et al. 2004)”
BackgroundInfluentialLocal irradiation alters bone morphology and increases bone fragility in a mouse model
Wernlé, J. D., Damron, T. A., Allen, M. J., et al. (2010) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2010.06.017 · Cited by 85
Design of dental implants at materials level: An overview
Jiang, X., Yao, Y., Tang, W., et al. (2020) · Journal of Biomedical Materials Research Part A · doi:10.1002/jbm.a.36931 · Cited by 84
Wood, S. A., Strait, D. S., Dumont, E. R., Ross, C. F., & Grosse, I. R. (2011) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2011.03.022 · Cited by 84
“62 g/cm (Bayraktar et al., 2004), and 2.”
Architected implant designs for long bones: Advantages of minimal surface-based topologies
Hsieh, M.-T., Begley, M. R., & Valdevit, L. (2021) · Materials & Design · doi:10.1016/j.matdes.2021.109838 · Cited by 83
“Legs femur 17 [77], 15 [78], 8–22 [86], 13–21 [87], 15–22 [88], 15”
Stemmed TKA in a Femur With a Total Hip Arthroplasty
Soenen, M., Baracchi, M., Corte, R. D., et al. (2013) · The Journal of Arthroplasty · doi:10.1016/j.arth.2013.01.010 · Cited by 83
Cortical and trabecular load sharing in the human femoral neck
Nawathe, S., Nguyen, B. P., Barzanian, N., et al. (2014) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2014.12.022 · Cited by 83
“The literature suggests only minor differences between the elastic properties of cortical and trabecular tissue (Bayraktar et al., 2004) and our preliminary studies showed only a small effect on overall femoral stiffness after changing the elastic modulus of the cortical bone by 720% (Nawathe et al.”
BackgroundSelf-citationInvestigations into Ti–(Nb,Ta)–Fe alloys for biomedical applications
Biesiekierski, A., Lin, J., Li, Y., et al. (2015) · Acta Biomaterialia · doi:10.1016/j.actbio.2015.12.010 · Cited by 83
Juszczyk, M., Cristofolini, L., & Viceconti, M. (2011) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2011.05.038 · Cited by 82
“010 (Bayraktar et al., 2004), such strain-rate would generate failure in the order of 0.”
BackgroundMondal, D., Haghpanah, Z., Huxman, C., et al. (2021) · Materials Science and Engineering C · doi:10.1016/j.msec.2021.112456 · Cited by 81
Strain distribution in the proximal human femoral metaphysis
Cristofolini, L., Juszczyk, M., Taddei, F., et al. (2008) · Proceedings of the Institution of Mechanical Engineers Part H Journal of Engineering in Medicine · doi:10.1243/09544119jeim497 · Cited by 81
Budyn, É., Hoc, T., & Jonvaux, J. (2008) · Computational Mechanics · doi:10.1007/s00466-008-0283-1 · Cited by 81
“When a critical value of 0.4 % [44, 45 ] has been reached in the elastic calculation, cracks are initialized for the XFEM calculation.”
MethodInfluentialHambli, R., Bettamer, A., & Allaoui, S. (2011) · Medical Engineering & Physics · doi:10.1016/j.medengphy.2011.07.011 · Cited by 81
Bone and Cartilage Interfaces With Orthopedic Implants: A Literature Review
Grzeskowiak, R. M., Schumacher, J., Dhar, M. S., Harper, D. P., Mulon, P., & Anderson, D. E. (2020) · Frontiers in Surgery · doi:10.3389/fsurg.2020.601244 · Cited by 80
Edwards, W. B., Schnitzer, T. J., & Troy, K. L. (2013) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2013.04.016 · Cited by 84
“The non-linear phase of the bone material was modeled as bilinear elastic-plastic with a post-yield modulus equal to 5% of the pre-yield modulus (Bayraktar et al., 2004; Gupta et al., 2007).”
BackgroundNovitskaya, E. E., Chen, P., Hamed, E., Jun, L., Lubarda, V. A., Jasiuk, I., & McKittrick, J. M. (2011) · Theoretical and Applied Mechanics · doi:10.2298/tam1103209n · Cited by 80
Damage accumulation in vertebral trabecular bone depends on loading mode and direction
Wolfram, U., Wilke, H., & Zysset, P. K. (2011) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2011.01.018 · Cited by 78
“Load rates for quasi-static testing in this study have been slower than rates reported earlier (Bayraktar et al., 2004; Morgan and Keaveny, 2001; Morgan et al., 2005; Rincón-Kohli and Zysset, 2009).”
ResultChanges in femur stress after hip resurfacing arthroplasty: Response to physiological loads
Little, J. P., Taddei, F., Viceconti, M., Murray, D. W., & Gill, H. S. (2007) · Clinical Biomechanics · doi:10.1016/j.clinbiomech.2006.12.002 · Cited by 78
“Both these criterion are appropriate for cortical and cancellous bone (Bayraktar et al., 2004; Cezayirlioglu et al., 1985; Ouyang et al., 1997; Reilly and Burstein, 1975; Van Rietbergen et al., 1998).”
BackgroundHambli, R., & Allaoui, S. (2013) · Annals of Biomedical Engineering · doi:10.1007/s10439-013-0864-9 · Cited by 77
Hambli, R. (2012) · Medical & Biological Engineering & Computing · doi:10.1007/s11517-012-0986-5 · Cited by 77
“Several studies showed that bone exhibits a quasi-brittle material behavior [5, 14, 16, 32-34, 62] or brittle behavior [31, 43, 68, 88] depending mainly on the deformation rate applied and the bone properties.”
BackgroundHulsey, C. D., Roberts, R. J., Lin, A., Guldberg, R. E., & Streelman, J. T. (2008) · Evolution · doi:10.1111/j.1558-5646.2008.00384.x · Cited by 78
“A Von Mises stress of 250.0 MPa corresponds to a safety factor of 2.3 above the yield stress of trabecular bone (Bayraktar et al. 2004).”
BackgroundInfluentialContribution of inter-site variations in architecture to trabecular bone apparent yield strains
Morgan, E. F., Bayraktar, H. H., Yeh, O. C., Majumdar, S., Burghardt, A. J., & Keaveny, T. M. (2004) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2003.12.037 · Cited by 77
“Although this over-prediction could theoretically be due to inter-site differences in tissue yield strains, data from a previous study (Bayraktar et al., 2004) suggest that attributing the discrepancy to tissue property differences alone would require that tissue compressive yield strains differ by over 40% between th…”
BackgroundResultSelf-citationÖzçivici, E., Garman, R., & Judex, S. (2007) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2007.05.015 · Cited by 76
“3 (Busa et al., 2005; Rho et al., 1997; Bayraktar et al., 2004).”
Predicting the stiffness and strength of human femurs with real metastatic tumors
Zohar Yosibash, A., Mayo, R. P., Dahan, G., et al. (2014) · Bone · doi:10.1016/j.bone.2014.09.022 · Cited by 74
Inzana, J. A., Varga, P., & Windolf, M. (2016) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2016.04.021 · Cited by 74
Bartolomeu, F., Fonseca, J. C., Peixinho, N. R. M., et al. (2019) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2019.07.023 · Cited by 73
Christen, D., Levchuk, A., Schori, S., Schneider, P., Boyd, S. K., & Müller, R. (2012) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2011.12.009 · Cited by 73
Exploration of trabecular bone nonlinear elasticity using time-of-flight modulation
Renaud, G., Callé, S., Réméniéras, J.-P., & Defontaine, M. (2008) · IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control · doi:10.1109/tuffc.2008.825 · Cited by 73
“n the skeleton, trabecular bone with high porosity (more than 70%) differentiates from cortical bone with low porosity (less than 30%), even if the solid phase properties are very close [ 1 ].”
BackgroundExperimental validation of DXA-based finite element models for prediction of femoral strength
Dall’Ara, E., Eastell, R., Viceconti, M., Pahr, D. H., & Yang, L. (2016) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2016.06.004 · Cited by 73
“…g=cm 3 8< : Tensile yield stress St ðMPaÞ ¼ 50:1ρ2:04app if ρappr0:355 g=cm3 22:6ρ1:26app if ρapp40:355 g=cm 3 8< : Tensile yield strain was considered equal to 7300 microstrain, and compressive yield strain was considered as 10,400 microstrain (Falcinelli et al., 2014; Bayraktar et al., 2004).”
BackgroundNon-Auxetic Mechanical Metamaterials
de Jonge, C. P., Kolken, H. M. A., & ZADPOOR, A. A. (2019) · Materials · doi:10.3390/ma12040635 · Cited by 73
Barui, S., Panda, A. K., Naskar, S., Rajamanickam, K., Basu, S., & Basu, B. (2019) · Biomaterials · doi:10.1016/j.biomaterials.2019.05.023 · Cited by 74
The effects of side-artifacts on the elastic modulus of trabecular bone
Ün, K., Bevill, G. R., & Keaveny, T. M. (2006) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2006.05.012 · Cited by 71
“An isotropic Young’s modulus of 18GPa (Bayraktar et al., 2004) and Poisson’s ratio n 1⁄4 0.”
BackgroundSelf-citationFabric-based Tsai–Wu yield criteria for vertebral trabecular bone in stress and strain space
Wolfram, U., Gross, T. J., Pahr, D. H., Schwiedrzik, J. J., Wilke, H., & Zysset, P. K. (2012) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2012.07.005 · Cited by 69
Micro Finite Element models of the vertebral body: Validation of local displacement predictions
Costa, M. C., Tozzi, G., Cristofolini, L., et al. (2017) · PLoS ONE · doi:10.1371/journal.pone.0180151 · Cited by 69
The assessment of the risk of fracture in femora with metastatic lesions
Derikx, L. C., van Aken, J. B., Janssen, D. W., Snyers, A., van der Linden, Y. M., Verdonschot, N. J. J., & Tanck, E. (2012) · Journal of Bone and Joint Surgery - British Volume · doi:10.1302/0301-620x.94b8.28449 · Cited by 67
Extraordinary high strength Ti-Zr-Ta alloys through nanoscaled, dual-cubic spinodal reinforcement
Biesiekierski, A., Ping, D., Li, Y., et al. (2017) · Acta Biomaterialia · doi:10.1016/j.actbio.2017.01.085 · Cited by 68
Apparent Young's modulus of human radius using inverse finite-element method
Bosisio, M. R., Talmant, M., Wafa Skalli, E., et al. (2006) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2006.09.018 · Cited by 67
Pauchard, Y., Fitze, T., Browarnik, D., Eskandari, A., Pauchard, I., Enns-Bray, W. S., Pálsson, H., Sigurdsson, S. O., Ferguson, S. J., Harris, T. B., et al. (2016) · Computer Methods in Biomechanics & Biomedical Engineering · doi:10.1080/10255842.2016.1181173 · Cited by 67
“7 (Bayraktar et al. 2004) was implemented with a Drucker–Prager yield criterion.”
MethodInfluentialAFM mapping of the elastic properties of brain tissue reveals kPa μm −1 gradients of rigidity
Bouchonville, N., Meyer, M., Gaude, C., et al. (2016) · Soft Matter · doi:10.1039/c6sm00582a · Cited by 67
Palanca, M., Cristofolini, L., Dall’Ara, E., et al. (2016) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2016.10.018 · Cited by 67
“The current study has shown that, when sufficient care is dedicated to a preliminary methodological optimization, the strain measurement uncertainties of DVC may be not only adequate to investigate bone failure (7000–10,000 microstrain (Bayraktar et al., 2004; de Bakker et al., 2009)), but also the strain distribution…”
BackgroundFernández, M. P., Barber, A. H., Blunn, G. W., et al. (2018) · Journal of Microscopy · doi:10.1111/jmi.12745 · Cited by 67
“, 2004), and 4% of the yielding strain value [10 000 με (Bayraktar et al., 2004)]; thus, suggesting that depending on the deformation mechanism object of this study, a different compromise between spatial resolution and strain uncertainties may be accepted.”
BackgroundConstitutive modelling of inelastic behaviour of cortical bone
NATALI, A. N., Carniel, E. L., & Pavan, P. G. (2008) · Medical Engineering & Physics · doi:10.1016/j.medengphy.2007.12.001 · Cited by 68
Krone, R. D., & Schuster, P. (2006) · SAE technical papers on CD-ROM/SAE technical paper series · doi:10.4271/2006-01-0064 · Cited by 66
“The elastic modulus and the Poisson's ratio are the same used for the elastic, isotropic model, the tangent modulus is 5% of the elastic modulus [11], and the yield stress is an average of values for specimens tested in tension by Reilly & Burnstein [20].”
BackgroundMethodValidation of finite element models of the mouse tibia using digital volume correlation
Oliviero, S., Giorgi, M., & Dall’Ara, E. (2018) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2018.06.022 · Cited by 66
“, 2002)) of either − 10300 με in compression or 8000 με in tension (Bayraktar et al., 2004), and rescaling the predicted reaction force accordingly.”
New insights into nickel-free superelastic titanium alloys for biomedical applications
Ramezannejad, A., Xu, W., Xiao, W. L., et al. (2019) · Current Opinion in Solid State and Materials Science · doi:10.1016/j.cossms.2019.100783 · Cited by 65
Dubey, D. K., & Tomar, V. (2009) · Acta Biomaterialia · doi:10.1016/j.actbio.2009.02.035 · Cited by 65
“However, the tissue moduli of cortical and trabecular bone are similar [ 47 ,49].”
Cook, D. D., Julias, M., & Nauman, E. A. (2014) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2014.01.040 · Cited by 64
“…et al., 1998; Stammberger et al., 1999; Turner et al., 1999; Zysset et al., 1999; Niebur et al., 2000; Morgan and Keaveny, 2001; Hess et al., 2002; Bayraktar et al., 2004; Schriefer et al., 2005) were utilized, and coefficient of variation values were collected for multiple properties of each…”
Effects of trabecular type and orientation on microdamage susceptibility in trabecular bone
Shi, X., Liu, X. S., Wang, X., Guo, X.-D. E., & Niebur, G. L. (2010) · Bone · doi:10.1016/j.bone.2010.02.005 · Cited by 64
“41%, respectively [35].”
Self-citationZanetti, E. M., Pascoletti, G., Calì, M., et al. (2018) · Biosensors · doi:10.3390/bios8030068 · Cited by 64
“Analogous considerations have led to the recommendation of using failure criteria based on strain, rather than failure criteria based on the apparent stress [86]: when strain or ‘true stress’ are used, trabecular and cortical tissues have no more apparently different properties [87,88].”
BackgroundStructural and nanoindentation studies of stem cell-based tissue-engineered bone
Pelled, G., Tai, K., Sheyn, D., et al. (2006) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2005.12.012 · Cited by 63
Patient‐specific modelling of bone and bone‐implant systems: the challenges
Pankaj, P. (2012) · International Journal for Numerical Methods in Biomedical Engineering · doi:10.1002/cnm.2536 · Cited by 62
Grassi, L., Väänänen, S. P., Ristinmaa, M., Jurvelin, J. S., & Isaksson, H. (2016) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2016.02.032 · Cited by 62
“When element strain exceeded the yield strain limit (10400 με compression, 7300 με tension, (Bayraktar et al., 2004)), the modulus was reduced to 5.”
BackgroundInfluentialPradeep, N. B., Hegde, M. M. R., Shashanka, R., & Surendranathan, A. O. (2022) · Powder Technology · doi:10.1016/j.powtec.2022.117715 · Cited by 61
Fernández, M. P., Cipiccia, S., Dall’Ara, E., et al. (2018) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2018.08.012 · Cited by 61
Bone creep can cause progressive vertebral deformity
Pollintine, P., Luo, J., Offa-Jones, B., Dolan, P., & Adams, M. A. (2009) · Bone · doi:10.1016/j.bone.2009.05.015 · Cited by 60
“The present experiment actually measured strain in the vertebral cortex rather than in trabecular bone, but it is likely that bothwould deform in a similar manner because yield strain does not differ greatly between cortical and trabecular bone [40].”
BackgroundPrediction of bone mechanical properties using QUS and pQCT: Study of the human distal radius
Muller, M. M., Mitton, D., Moilanen, P., et al. (2007) · Medical Engineering & Physics · doi:10.1016/j.medengphy.2007.08.006 · Cited by 60
Methods for bone quality assessment in human bone tissue: a systematic review
Wang, F., Zheng, L., Theopold, J., et al. (2022) · Journal of Orthopaedic Surgery and Research · doi:10.1186/s13018-022-03041-4 · Cited by 59
“[51] compared the mechanical properties at the tissue level by compression and tensile tests using human trabecular and cortical bone specimens.”
BackgroundStrain energy in the femoral neck during exercise
Martelli, S., Kersh, M. E., Schache, A. G., & Pandy, M. G. (2014) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2014.03.036 · Cited by 59
“73% (Bayraktar et al., 2004) to provide an indication of the likelihood of femoral neck”
BackgroundMethodInfluentialBone properties affect loosening of half-pin external fixators at the pin–bone interface
Donaldson, F. E., Pankaj, P., & Simpson, H. (2012) · Injury · doi:10.1016/j.injury.2012.07.001 · Cited by 59
Multiple scale modeling for cortical bone fracture in tension using X-FEM
Budyn, É., & Hoc, T. (2007) · European Journal of Computational Mechanics · doi:10.3166/remn.16.213-236 · Cited by 59
“When a critical value of 0.4% (Pattinet al., 1996; Bayraktar et al., 2004) has been reached in the elastic calculation, cracks are initialized for the XFEM calculation.”
MethodInfluentialSubject specific finite element analysis of stress shielding around a cementless femoral stem
Pettersen, S. H., Wik, T. S., & Skallerud, B. (2008) · Clinical Biomechanics · doi:10.1016/j.clinbiomech.2008.11.003 · Cited by 59
“The Young’s modulus of the prostheses was set to 200 GPa (cobalt chrome).”
BackgroundResultInfluentialCalibration of a constitutive model for the post-yield behaviour of cortical bone
Mullins, L. P., Bruzzi, M., & McHugh, P. E. (2008) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2008.11.003 · Cited by 59
“Further investigations, which have focused predominantly on trabecular bone, have proven to be extremely effective in terms of predicting the macroscale response and properties (Keyak and Rossi, 2000; Niebur et al., 2000; Morgan et al., 2003; Bayraktar et al., 2004).”
BackgroundNeto, W. A. R., Pereira, I. H. L., Ayres, E., et al. (2012) · Polymer Degradation and Stability · doi:10.1016/j.polymdegradstab.2012.03.048 · Cited by 59
“It is worthwhile to recall that the values of the modulus of these nanofibers are a hundredth times higher than the moduli of collagenous bone tissue (approximately 100 kPa) [10], but a thousand times lower than trabecular or cortical bone tissue [36].”
BackgroundStructural behaviour and strain distribution of the long bones of the human lower limbs
Cristofolini, L., Conti, G., Juszczyk, M., et al. (2009) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2009.11.022 · Cited by 59
Application of the multiscale FEM to the modeling of cancellous bone
Ilić, S., Hackl, K., & Gilbert, R. P. (2009) · Biomechanics and Modeling in Mechanobiology · doi:10.1007/s10237-009-0161-6 · Cited by 59
“Here the accent is especially put on the digital image based meshing process (Bayraktar et al. 2004; Hollister and Kikuchi 1994; Niebur et al. 2000; Rietbergen et al. 1996).”
BackgroundKarre, R., Kumar, K. B., Rajendran, A., et al. (2018) · Materials Science and Engineering C · doi:10.1016/j.msec.2018.10.006 · Cited by 59
Damage in trabecular bone at small strains
Morgan, E., Yeh, O., & Keaveny, T. (2005) · European Journal of Morphology · doi:10.1080/09243860500095273 · Cited by 59
Self-citationLocal strain and damage mapping in single trabeculae during three-point bending tests
Jungmann, R., Szabo, M. E., Schitter, G., Yue-Sing Tang, R., Vashishth, D., Hansma, P. K., & Thurner, P. J. (2011) · Journal of the Mechanical Behavior of Biomedical Materials · doi:10.1016/j.jmbbm.2010.12.009 · Cited by 57
“As mentioned the lower range of our microdamage initiation is close to values obtained by the calibration study by Bayraktar et al. as well as in other studies (Niebur et al., 2000; Bayraktar et al., 2004; Chevalier et al., 2007).”
InfluentialPoly-Ether-Ether-Ketone (PEEK) Biomaterials and Composites: Challenges, Progress, and Opportunities
Molinar‐Díaz, J., Parsons, A. J., Ahmed, I., et al. (2024) · Journal of macromolecular science. Part C, Reviews in macromolecular chemistry and physics/Journal of macromolecular science. Reviews in macromolecular chemistry and physics · doi:10.1080/15583724.2024.2406965 · Cited by 58
Musy, S. N., Maquer, G., Panyasantisuk, J., Wandel, J., & Zysset, P. K. (2016) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2016.10.004 · Cited by 58
Sub-trabecular strain evolution in human trabecular bone
Turunen, M. J., Cann, S. L., Tudisco, E., Lovrić, G., Patera, A., Hall, S. A., & Isaksson, H. (2020) · Scientific Reports · doi:10.1038/s41598-020-69850-x · Cited by 57
MacLeod, A. R., Simpson, H., & Pankaj, P. (2014) · Computer Methods in Biomechanics & Biomedical Engineering · doi:10.1080/10255842.2014.974580 · Cited by 57
“These values represent yield values for cortical bone found in the literature (Bayraktar et al. 2004; Ebacher et al. 2007).”
BackgroundBevill, G. R., Eswaran, S. K., Farahmand, F., & Keaveny, T. M. (2008) · Bone · doi:10.1016/j.bone.2008.11.015 · Cited by 57
“Fully nonlinear (geometric and material) finite element analyses were performed for each specimen in order to calibrate tissue-level yield strains using an iterative algorithm [14].”
MethodSelf-citationMartinez‐Marquez, D., Delmar, Y., Sun, S., & Stewart, R. A. (2020) · Materials · doi:10.3390/ma13214794 · Cited by 57
Helgason, B., Gilchrist, S. E., Ariza, O., Chak, J. D., Guoyan Zheng, A., Widmer, R. P., Ferguson, S. J., Guy, P., & Cripton, P. A. (2014) · Medical Engineering & Physics · doi:10.1016/j.medengphy.2014.02.019 · Cited by 56
Christen, D., Webster, D. J., & Müller, R. (2010) · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rsta.2010.0041 · Cited by 56
“…bone (Keaveny et al. 2001) could be accurately modelled using an isotropic material model, which was also validated by comparing the computational results to biomechanical tests on bone biopsies (Ladd et al. 1998; Kabel et al. 1999; Niebur et al. 2000; Homminga et al. 2003; Bayraktar et al. 2004b).”
BackgroundMethodResultInfluentialThe effect of tissue condition and applied load on Vickers hardness of human trabecular bone
Dall’Ara, E., Öhman‐Mägi, C., Baleani, M., et al. (2007) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2007.04.007 · Cited by 56
“Thirty indentations with an applied load of 50 gf and 30 with 25 gf were done along the primary compression group (Bayraktar et al., 2004) of each specimen for each preparation using a Vickers diamond micro-indenter (Leica VMHT).”
MethodSchwiedrzik, J. J., Gross, T., Bina, M., Pretterklieber, M. L., Zysset, P. K., & Pahr, D. H. (2015) · International Journal for Numerical Methods in Biomedical Engineering · doi:10.1002/cnm.2739 · Cited by 55
Sommers, M. B., Fitzpatrick, D. C., Madey, S. M., et al. (2007) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2007.04.024 · Cited by 55
Shin, J. K., Lim, B.-Y., Goh, T. S., et al. (2018) · PLoS ONE · doi:10.1371/journal.pone.0201801 · Cited by 54
Strain distribution in the proximal Human femur during in vitro simulated sideways fall
Zani, L., Erani, P., Grassi, L., et al. (2015) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2015.02.022 · Cited by 54
Danielson, M. E., Beck, T., Karlamangla, A. S., Greendale, G. A., Atkinson, E. J., Lian, Y., Khaled, A. S., Keaveny, T. M., Kopperdahl, D. L., Ruppert, K. M., et al. (2012) · Osteoporosis International · doi:10.1007/s00198-012-2066-y · Cited by 54
Self-citationBiesiekierski, A., Lin, J., Munir, K. S., et al. (2018) · Scientific Reports · doi:10.1038/s41598-018-24155-y · Cited by 54
A Biomechanical and Finite Element Analysis of Femoral Neck Notching During Hip Resurfacing
Davis, E. T., Olsen, M., Zdero, R., et al. (2009) · Journal of Biomechanical Engineering · doi:10.1115/1.3072889 · Cited by 53
Palanca, M., Bodey, A. J., Giorgi, M., et al. (2017) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2017.04.007 · Cited by 53
Mugnai, R., Tarallo, L., Capra, F., et al. (2018) · Orthopaedics & Traumatology Surgery & Research · doi:10.1016/j.otsr.2018.05.002 · Cited by 53
Caravaggi, P., Liverani, E., Leardini, A., et al. (2019) · Journal of Biomedical Materials Research Part B Applied Biomaterials · doi:10.1002/jbm.b.34328 · Cited by 53
Belda, R., Palomar, M., Serra, J. L. P., Vercher-Martínez, A., & Giner, E. (2019) · International Journal of Mechanical Sciences · doi:10.1016/j.ijmecsci.2019.105213 · Cited by 53
Villamor, E., Monserrat, C., del Río, L., Romero-Martín, J. A., & Rupérez, M. J. (2020) · Computer Methods and Programs in Biomedicine · doi:10.1016/j.cmpb.2020.105484 · Cited by 53
“Then, bone material properties were calculated using the empirical equations obtained by Morgan and colleagues [35, 36, 37]:”
MethodViguet‐Carrin, S., Farlay, D., Bala, Y., Munoz, F., Bouxsein, M., & Delmas, P. D. (2007) · Bone · doi:10.1016/j.bone.2007.08.046 · Cited by 54
“The values of these properties obtained on cortical calf bone were slightly lower than those reported for adult cortical bone [8,17,63,66] but higher than those of the fetal bovine bone or demineralized bone [12,13,27,63].”
BackgroundFernández, M. P., Kao, A. P., Bonithon, R., Howells, D., Bodey, A. J., Wanelik, K., Witte, F., Johnston, R. E., Arora, H., & Tozzi, G. (2021) · Acta Biomaterialia · doi:10.1016/j.actbio.2021.06.014 · Cited by 52
“7b), which is in line with previously reported yielding strain values for human trabecular bone in compression (~ −10,000 με [83,84]).”
BackgroundSrinivasan, B., Kopperdahl, D. L., Amin, S., Atkinson, E. J., Camp, J. J., Robb, R. A., Riggs, B. L., ORWOLL, E. S., Melton, L. J., Keaveny, T. M., et al. (2011) · Osteoporosis International · doi:10.1007/s00198-011-1822-8 · Cited by 52
“5 mm cube 8-noded finite element, and material properties for cortical or trabecular bone were assigned to each element using the calibrated QCT density information and empirical relations between measured bone density and tissue mechanical properties [20–22], using lower strengths for tension than compression [23, 24…”
MethodSelf-citationTozzi, G., Danesi, V., Palanca, M., et al. (2016) · Strain · doi:10.1111/str.12202 · Cited by 52
“This is a reasonable simplification as bone failure is usually associated to a principal strain criterion [21, 48].”
BackgroundD’Elía, N. L., Rial, R., Sartuqui, J., Ercoli, D., Ruso, J. M., Messina, P. V., & Mestres, G. (2020) · Journal of Colloid and Interface Science · doi:10.1016/j.jcis.2020.03.086 · Cited by 52
Gilchrist, S., Guy, P., & Cripton, P. A. (2013) · Journal of Biomechanical Engineering · doi:10.1115/1.4025390 · Cited by 51
Kang, I., Park, C., Lee, H., et al. (2018) · Materials · doi:10.3390/ma11020258 · Cited by 51
Dall’Ara, E., & Tozzi, G. (2022) · Frontiers in Bioengineering and Biotechnology · doi:10.3389/fbioe.2022.1010056 · Cited by 50
“7% (Bayraktar et al., 2004) local permanent deformation and damage will occur that will lead to fracture if not healed).”
BackgroundMicromechanical Behavior of TPMS Scaffolds for Bone Tissue Engineering
Castro, A. P. G., Santos, J., Pires, T. H. V., & Fernandes, P. R. (2020) · Macromolecular Materials and Engineering · doi:10.1002/mame.202000487 · Cited by 50
Roberts, B. C., Giorgi, M., Oliviero, S., Wang, N., Boudiffa, M., & Dall’Ara, E. (2019) · Bone · doi:10.1016/j.bone.2019.06.024 · Cited by 49
“The failure load was estimated from the linear μFE models as the amount of force required for 2% of the nodes to reach the yield strain (first principal strain above 8000 microstrain or third principal strain below −10,300 microstrain [38]).”
MethodBonithon, R., Kao, A. P., Fernández, M. P., Dunlop, J. N., Blunn, G. W., Witte, F., & Tozzi, G. (2021) · Acta Biomaterialia · doi:10.1016/j.actbio.2021.03.068 · Cited by 49
“5Ib), where, at 3% compression, the local areas approached -9000με and thus reached tissue yielding [69,70].”
Background
Metadata
- Authors
- Bayraktar, H. H., Morgan, E. F., Niebur, G. L., Morris, G. E., Wong, E. K., & Keaveny, T. M.
- Affiliations
- University of California, Berkeley (US)
- University of Notre Dame (US)
- Corresponding author
- Bayraktar, Harun H.
- Venue
- Journal of Biomechanics
- Publisher
- Elsevier BV
- Published
- 2004-01
- Volume
- 37
- Issue
- 1
- Pages
- 27-35
- ISSN
- 0021-9290 (ISSN-L)
- OpenAlex
- W2089968363
- Cited by
- 1,142
- References
- 36
- Citations by year
- 2026: 60 · 2025: 62 · 2024: 68 · 2023: 51 · 2022: 55 · 2021: 74 · 2020: 90 · 2019: 75 · 2018: 67 · 2017: 56 · 2016: 68 · 2015: 59 · 2014: 62 · 2013: 50 · 2012: 49
- FWCI
- 13.37
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Biomechanics (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Institutes of Health
- University of California, San Francisco
- National Institute of Arthritis and Musculoskeletal and Skin Diseases (AR-43784, R01AR043784, AR41481)
- Topics
- Health Sciences › Medicine › Orthopedics and Sports Medicine › Bone health and osteoporosis research
- Physical Sciences › Engineering › Biomedical Engineering › Elasticity and Material Modeling
- Health Sciences › Medicine › Orthopedics and Sports Medicine › Bone fractures and treatments
- Keywords
- trabecular bone, cortical bone, femoral neck, elastic modulus, yield strain, tensile yield strength, compressive yield strength, finite element analysis
- MeSH terms
- Aged, Aged, 80 and over, Cadaver, Computer Simulation, Elasticity, Femur Head, Humans, Male, Middle Aged, Models, Biological, Sensitivity and Specificity, Statistics as Topic, Stress, Mechanical, Tensile Strength, Reproducibility of Results, Weight-Bearing, Compressive Strength, In Vitro Techniques
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
