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 401–500 of 1,000
Numerical study of crack initiation and growth in human cortical bone: Effect of micro-morphology
Wang, M., Li, S., Scheidt, A. V., Qwamizadeh, M., Busse, B., & Silberschmidt, V. V. (2020) · Engineering Fracture Mechanics · doi:10.1016/j.engfracmech.2020.107051 · Cited by 23
Experimental assessment of a new direct fixation implant for artificial limbs
Tomaszewski, P. K., Lasnier, B., Hannink, G., Verkerke, G. J., & Verdonschot, N. J. J. (2013) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2013.02.012 · Cited by 23
Can CT image deblurring improve finite element predictions at the proximal femur?
Falcinelli, C., Schileo, E., Pakdel, A., Whyne, C. M., Cristofolini, L., & Taddei, F. (2016) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2016.07.004 · Cited by 22
Grassi, L., Kok, J., Gustafsson, A., et al. (2020) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2020.109826 · Cited by 22
An Overview of Selected Material Properties in Finite Element Modeling of the Human Femur
Bazyar, P., Baumgart, A., Altenbach, H., & Usbeck, A. K. (2023) · Biomechanics · doi:10.3390/biomechanics3010012 · Cited by 27
“The tangent modulus is 5% of the elastic modulus [20].”
BackgroundRobau-Porrúa, A., Ruíz, J. E. G., Rodríguez-Guerra, J., et al. (2024) · Journal of Materials Research and Technology · doi:10.1016/j.jmrt.2024.02.091 · Cited by 22
Gong, H., Wang, L., Fan, Y., et al. (2015) · Annals of Biomedical Engineering · doi:10.1007/s10439-015-1368-6 · Cited by 22
Juszczyk, M., Cristofolini, L., Salvà, M., et al. (2012) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2012.11.013 · Cited by 22
“, 2008): bone fails at approximately 7000 microstrain in tension, and 10,000–12,000 in compression (Bayraktar et al., 2004).”
BackgroundYin, B., Ma, P., Chen, J., Wang, H., Wu, G. H., Li, B., Li, Q., Huang, Z., Qiu, G., & Wu, Z. (2016) · International Journal of Molecular Sciences · doi:10.3390/ijms17040575 · Cited by 22
“6%, which are similar to the mechanical properties of natural bones [38,39].”
BackgroundVirtual stress testing of fracture stability in soldiers with severely comminuted tibial fractures
Petfield, J. L., Hayeck, G. T., Kopperdahl, D. L., Nesti, L. J., Keaveny, T. M., & Hsu, J. R. (2016) · Journal of Orthopaedic Research® · doi:10.1002/jor.23335 · Cited by 22
Self-citationArifvianto, B., Leeflang, M. A., & Zhou, J. (2017) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2017.01.046 · Cited by 22
Functional Adaptation of the Calcaneus in Historical Foot Binding
Reznikov, N., Phillips, C., Cooke, M., Garbout, A., Ahmed, F., & Stevens, M. M. (2017) · Journal of Bone and Mineral Research · doi:10.1002/jbmr.3185 · Cited by 22
“This follows from its lower apparentmodulus((20,21)) in comparison to that of compact bone.”
BackgroundSabet, F. A., Jin, O., Korić, S., & Jasiuk, I. (2017) · International Journal for Numerical Methods in Biomedical Engineering · doi:10.1002/cnm.2941 · Cited by 22
Impact behaviors of human skull sandwich cellular bones: Theoretical models and simulation
Wu, Q., Yang, C., Ohrndorf, A., Christ, H., Han, J., & Xiong, J. (2020) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2020.103669 · Cited by 22
Zhang, N., Magland, J. F., Rajapakse, C. S., Bhagat, Y. A., & Wehrli, F. W. (2013) · Medical Physics · doi:10.1118/1.4802085 · Cited by 22
Taddei, F., Falcinelli, C., Balistreri, L., Henyš, P., Baruffaldi, F., Sigurdsson, S. O., Gudnason, V. G., Harris, T. B., Dietzel, R., Armbrecht, G., et al. (2015) · Osteoporosis International · doi:10.1007/s00198-015-3404-7 · Cited by 21
“04 % compressive) included the consideration of the asymmetry in the tensile/compressive bone mechanical behaviour [29].”
Open cell polyurethane foam compression failure characterization and its relationship to morphometry
Belda, R., Palomar, M., Marco, M., et al. (2020) · Materials Science and Engineering C · doi:10.1016/j.msec.2020.111754 · Cited by 21
Rabiatul, A. A. R., Januddi, F., Saad, A. P. M., et al. (2021) · Biomechanics and Modeling in Mechanobiology · doi:10.1007/s10237-021-01423-x · Cited by 21
β-type TiNbSn Alloy Plates With Low Young Modulus Accelerates Osteosynthesis in Rabbit Tibiae
Ito, K., Mori, Y., Kamimura, M., Koguchi, M., Kurishima, H., Koyama, T., Mori, N., Masahashi, N., Hanada, S., Itoi, E., et al. (2022) · Clinical Orthopaedics and Related Research · doi:10.1097/corr.0000000000002240 · Cited by 21
“Ti6Al4V alloy, which is commonly used for biomedical applications, has a Young modulus (110 GPa) [17], which is higher than that of human cortical bone (11 to 20 GPa) [2].”
BackgroundInfluentialLu, Y., Zhou, Y., Liang, X., et al. (2023) · Materials & Design · doi:10.1016/j.matdes.2023.111822 · Cited by 21
Failure of trabecular bone: XFEM modelling of multiple crack growth
Shalimov, A., Анатольевич, Т. М., & Silberschmidt, V. V. (2024) · Theoretical and Applied Fracture Mechanics · doi:10.1016/j.tafmec.2024.104338 · Cited by 21
Skedros, J. G., Knight, A. N., Farnsworth, R. W., & Bloebaum, R. D. (2012) · Journal of Anatomy · doi:10.1111/j.1469-7580.2011.01470.x · Cited by 21
“For example, while the region of trabecular bone may be loaded in compression, subregions (individual trabeculae) may be experiencing tension (Bayraktar et al. 2004).”
BackgroundStudy of DXA-derived lateral–medial cortical bone thickness in assessing hip fracture risk
Long, Y., Leslie, W. D., & Luo, Y. (2015) · Bone Reports · doi:10.1016/j.bonr.2015.02.003 · Cited by 21
“The cortical bone withstands much greater load than the trabecular bone (Bayraktar et al., 2004), and it is the main part in resisting axial force.”
BackgroundBrynk, T., Hellmich, C., Fritsch, A., Zysset, P. K., & Eberhardsteiner, J. (2010) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2010.09.016 · Cited by 21
Asgharpour, Z., Zioupos, P., Graw, M., & Peldschus, S. (2013) · Forensic Science International · doi:10.1016/j.forsciint.2013.11.010 · Cited by 21
“[19]”
Seo, S. H., Lee, J., & Park, I. H. (2014) · Journal of Bone Metabolism · doi:10.11005/jbm.2014.21.3.205 · Cited by 21
“2% offset yield strain method for yield point was used.[13] The specimen was purely trabecular and porous in structure, therefore, evaluation of ultimate stress could not be performed.”
MethodVariability of the pullout strength of cancellous bone screws with cement augmentation
Procter, P., Bennani, P., Brown, C., Arnoldi, J., Pioletti, D. P., & Larsson, S. (2015) · Clinical Biomechanics · doi:10.1016/j.clinbiomech.2015.03.003 · Cited by 21
“, 2006), but the fundamental structure can lead to significant variability (Bayraktar et al., 2004; Keaveny et al., 1994; Rincon Kohli, 2003), particularly when it involves poor quality osteopenic or osteoporotic bone.”
BackgroundHierarchical analysis and multi-scale modelling of rat cortical and trabecular bone
Oftadeh, R., Entezari, V., Spörri, G., Villa‐Camacho, J. C., Krigbaum, H., Strawich, E., Graham, L., Rey, C. C., Chiu, H., Müller, R., et al. (2015) · Journal of The Royal Society Interface · doi:10.1098/rsif.2015.0070 · Cited by 21
“Our findings are consistent with those of previous studies: modulus of elasticity and yield strength values were significantly lower in trabecular bone specimens [7,24,26,27,29,30].”
Fujisawa, H., Mori, Y., Kogure, A., et al. (2018) · Journal of Biomedical Materials Research Part B Applied Biomaterials · doi:10.1002/jbm.b.34064 · Cited by 21
“However, its Young’s modulus is still much higher than that of human cortical bone (11–20 GPa).(8,9) The discrepancy in Young’s modulus between cortical bone and titanium alloys leads to stress shielding through inhibited transmission of weight-bearing.”
BackgroundInfluentialKreve, S., Jaros, O. L., Carvalho, G. P. D., et al. (2018) · Journal of International Society of Preventive and Community Dentistry · doi:10.4103/jispcd.jispcd_183_18 · Cited by 21
“[28] Model M1 was set as control.”
Tavana, S., Clark, J. N., Newell, N., Calder, J. D., & Hansen, U. (2020) · Materials · doi:10.3390/ma13235354 · Cited by 21
“The clinical MRI based DVC errors are lower than 6% of the yield values of bone tissue (10400 ± 1500 με [57,58]).”
BackgroundRisk Assessment of Hip Fracture Based on Machine Learning
Galassi, A., Martín‐Guerrero, J. D., Villamor, E., Monserrat, C., & Rupérez, M. J. (2020) · Applied Bionics and Biomechanics · doi:10.1155/2020/8880786 · Cited by 21
Palanca, M., Oliviero, S., & Dall’Ara, E. (2021) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2021.104872 · Cited by 21
Chen, Y., Pani, M., Taddei, F., Mazzà, C., Li, X., & Viceconti, M. (2014) · Journal of Biomechanical Engineering · doi:10.1115/1.4028106 · Cited by 21
On the Failure Initiation in the Proximal Human Femur Under Simulated Sideways Fall
Bahaloo, H., Enns-Bray, W. S., Fleps, I., Ariza, O., Gilchrist, S. E., Widmer, R. P., Guy, P., Pálsson, H., Ferguson, S. J., Cripton, P. A., et al. (2017) · Annals of Biomedical Engineering · doi:10.1007/s10439-017-1952-z · Cited by 21
Goff, M. G., Lambers, F. M., Sorna, R. M., Keaveny, T. M., & Hernandez, C. J. (2015) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2015.10.023 · Cited by 20
“…finite element models of cancellous bone are capable of predicting apparent yield strength and are often used to estimate the amount of tissue damage generated by overloads (Baumann et al., 2015; Bayraktar et al., 2004; Morgan et al., 2004; Nawathe et al., 2013; Niebur et al., 2001).”
BackgroundSelf-citationGaravelli, C., Aldieri, A., Palanca, M., Dall’Ara, E., & Viceconti, M. (2025) · Biomechanics and Modeling in Mechanobiology · doi:10.1007/s10237-025-01950-x · Cited by 20
“…FE modelling pipeline was applied only to the vertebrae not showing any sign of damage and the load step (physio, 3xphysio, or failure) was chosen so that less than 25% of the vertebral body volume exceeded the bone failure strain values (1.04% compression, 0.73% tension) (Bayraktar et al. 2004).”
InfluentialBiomechanics of Additively Manufactured Metallic Scaffolds—A Review
Elhattab, K., Hefzy, M. S., Hanf, Z., Crosby, B., Enders, A., Smiczek, T., Haghshenas, M., Jahadakbar, A., & Elahinia, M. (2021) · Materials · doi:10.3390/ma14226833 · Cited by 21
“They also reported that the elastic modulus of porous structures made of rhombicuboactehedron unit cells [188], and when Ti-6Al-4V is used as the matrix material, is within the values of the elastic moduli of natural bone [193] making them also suitable candidates for bone replacements.”
BackgroundPatient-Specific Biomechanical Modeling of Bone Strength Using Statistically-Derived Fabric Tensors
Lekadir, K., Noble, C., Hazrati, J., Hoogendoorn, C., van Rietbergen, B., Taylor, Z. A., & Frangi, A. F. (2015) · Annals of Biomedical Engineering · doi:10.1007/s10439-015-1432-2 · Cited by 20
Design and manufacturing of femoral stems for the Indian population
Rawal, B., Ribeiro, R., Malhotra, R., et al. (2012) · Journal of Manufacturing Processes · doi:10.1016/j.jmapro.2011.12.004 · Cited by 20
Rothstock, S., de Uhlenbrock, A. G., Bishop, N. E., & Morlock, M. M. (2009) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2009.09.052 · Cited by 20
“However, these models do not account for post-yield behavior of the bone (Morgan and Keaveny, 2001; Bayraktar et al., 2004), which could lead to stagnating contact pressure with increasing interference and consequently might compromise primary stability (Natali et al.”
BackgroundEvaluation of Stress Distribution in Resorbable Screw Fixation System
Choi, J.-P., Baek, S., & Choi, J. (2010) · Journal of Craniofacial Surgery · doi:10.1097/scs.0b013e3181e1b449 · Cited by 20
“The maximum yield stress of the cortical bone of all options in this study was lower than 108 MPa, which was reported by Bayraktar et al.22 Because the values of tensile stress in the cancellous bone models of this study were higher than the maximum tensile stress (3.9 MPa) reported by Misch et al,23 it is reasonable…”
BackgroundResultInfluentialPense, S. L., & Chen, Y. (2016) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2016.08.016 · Cited by 20
Loundagin, L. L., & Edwards, W. B. (2020) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2020.104002 · Cited by 20
Mechanical and morphological characterization of PMMA/bone composites in human femoral heads
Sas, A., Helgason, B., Ferguson, S. J., & van Lenthe, H. (2020) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2020.104247 · Cited by 21
Fernández, M. P., Sasso, S. J., McPhee, S., Black, C. R. M., Kanczler, J. M., Tozzi, G., & Wolfram, U. (2022) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2022.105303 · Cited by 19
BIOMECHANICAL STUDY ON PROXIMAL FEMORAL NAIL ANTIROTATION (PFNA) FOR INTERTROCHANTERIC FRACTURE
Wang, L., Zhao, F., Han, J., et al. (2011) · Journal of Mechanics in Medicine and Biology · doi:10.1142/s0219519412005125 · Cited by 20
Friedman, R. J., Sun, S., She, X., et al. (2021) · Seminars in Arthroplasty JSES · doi:10.1053/j.sart.2020.11.014 · Cited by 19
Predicting friction at the bone – Implant interface in cementless total knee arthroplasty
de Vries, E. G., Sánchez, E., Janssen, D. W., et al. (2022) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2022.105103 · Cited by 19
Aldieri, A., Terzini, M., Audenino, A. L., Bignardi, C., Paggiosi, M., Eastell, R., Viceconti, M., & Bhattacharya, P. (2022) · Annals of Biomedical Engineering · doi:10.1007/s10439-022-02924-1 · Cited by 19
Allahyari, P., Silani, M., Yaghoubi, V., Milovanovic, P. D., Schmidt, F. N., Busse, B., & Qwamizadeh, M. (2022) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2022.105530 · Cited by 19
Gong, H., Zhang, M., & Fan, Y. (2011) · Journal of Mechanics in Medicine and Biology · doi:10.1142/s0219519411004010 · Cited by 19
Frazer, L. L., Santschi, E. M., & Fischer, K. J. (2018) · Veterinary Surgery · doi:10.1111/vsu.13139 · Cited by 19
Whey-Derived Porous Carbon Scaffolds for Bone Tissue Engineering
Llamas-Unzueta, R., Suárez, M., Fernández, A., et al. (2021) · Biomedicines · doi:10.3390/biomedicines9091091 · Cited by 19
Neto, F. C., Giaretton, M. V. K., Neves, G. O., Aguilar, C. E., Souza, M. T., Binder, C., & Klein, A. N. (2022) · Metals · doi:10.3390/met12050783 · Cited by 19
Scanner influence on the mechanical response of QCT-based finite element analysis of long bones
Katz, Y., Dahan, G., Sosna, J., et al. (2019) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2019.01.049 · Cited by 19
Pressel, T., Max, S., Pfeifer, R., et al. (2008) · Biomedizinische Technik/Biomedical Engineering · doi:10.1515/bmt.2008.010 · Cited by 19
Hipp, J. A., & Hayes, W. C. (2009) · Elsevier eBooks · doi:10.1016/b978-1-4160-2220-6.10003-9 · Cited by 19
Finite Element Study on the Amount of Injection Cement During the Pedicle Screw Augmentation
Yan, Y., Teo, E.-C., Qiu, T.-X., Wu, Z., Qi, W., Liu, D., & Lei, W. (2011) · Journal of Spinal Disorders & Techniques · doi:10.1097/bsd.0b013e3182318638 · Cited by 18
“Although the yield stress in cancellous bone occurs at strains of 5% to 10%, the strains usually exceeding 60% before failure due to the cellular structure of cancellous bone.(25,37) The friction coefficient between the screw and cancellous bone was set as 0.”
BackgroundOvesy, M., Silva-Henao, J. D., Fletcher, J. W. A., et al. (2021) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2021.105002 · Cited by 18
A Multiphysics Model for Bone Repair Using Magnetic Scaffolds for Targeted Drug Delivery
Lodi, M. B., Fanti, A., Vargiu, A., Bozzi, M., & Mazzarella, G. (2021) · IEEE journal on multiscale and multiphysics computational techniques · doi:10.1109/jmmct.2021.3134786 · Cited by 18
Wearne, L. S., Rapagna, S., Taylor, M., et al. (2022) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2022.105336 · Cited by 18
Experimental evaluation of new concepts in hip arthroplasty
Wik, T. S. (2012) · Acta Orthopaedica · doi:10.3109/17453674.2012.678804 · Cited by 18
A Validated Open-Source Multisolver Fourth-Generation Composite Femur Model
MacLeod, A. R., Rose, H. R., & Gill, H. S. (2016) · Journal of Biomechanical Engineering · doi:10.1115/1.4034653 · Cited by 18
Assessment of trabecular bone tissue elasticity with resonant ultrasound spectroscopy
Daoui, H., Cai, X., Boubenider, F., et al. (2017) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2017.05.037 · Cited by 18
“Also, the element size was smaller than in most of the previously published μ-FE studies (Van Rietbergen et al., 1998; Ladd et al., 1998; Niebur et al., 2000; Bayraktar et al., 2004; Verhulp et al., 2008; Blanchard et al., 2013).”
ResultMortazavi, S. M. J., Farahmand, F., Behzadipour, S., et al. (2018) · Medical Engineering & Physics · doi:10.1016/j.medengphy.2018.03.004 · Cited by 18
Crystallinity and Reinforcement in Poly-L-Lactic Acid Scaffold Induced by Carbon Nanotubes
Wang, G., Qi, F., Yang, W., Yang, Y., He, C., Peng, S., & Shuai, C. (2019) · Advances in Polymer Technology · doi:10.1155/2019/8625325 · Cited by 18
Wang, C., Li, X., Chen, W., et al. (2020) · Injury · doi:10.1016/j.injury.2020.10.102 · Cited by 18
Aldieri, A., Terzini, M., Audenino, A. L., Bignardi, C., & Morbiducci, U. (2020) · Computers in Biology and Medicine · doi:10.1016/j.compbiomed.2020.104093 · Cited by 18
O’Rourke, D., Beck, B. R., Harding, A. T., Watson, S. L., Pivonka, P., & Martelli, S. (2021) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2021.110315 · Cited by 18
Yu, Y., Hu, Y., Zhou, B., Wang, J., & Guo, X.-D. E. (2020) · Journal of Bone and Mineral Research · doi:10.1002/jbmr.4338 · Cited by 19
“81% of strain in tension and compression.((37)) Post-yield tissue modulus was set as 5% of the initial tissue modulus.”
BackgroundAn in vitro and finite element study of load redistribution in the midfoot
Niu, W., Tang, T., Zhang, M., Jiang, C., & Fan, Y. (2014) · Science China Life Sciences · doi:10.1007/s11427-014-4731-1 · Cited by 18
FEA of Peri‐Implant Stresses in Fixed Partial Denture Prostheses with Cantilevers
Alencar, S. M. M., Nogueira, L. B. L. V., de Moura, W. L., et al. (2015) · Journal of Prosthodontics · doi:10.1111/jopr.12384 · Cited by 18
A Novel Morphological Model of Trabecular Bone Based on the Gyroid
Rammohan, A. V., Lee, T., & Tan, V. B. C. (2015) · International Journal of Applied Mechanics · doi:10.1142/s1758825115500489 · Cited by 18
Zhang, G., Xu, S., Yang, J., et al. (2018) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2018.05.042 · Cited by 18
Parylene-Based Strain Sensors for Bone
Yang, G. Y., Johnson, G., Tang, W. C., et al. (2007) · IEEE Sensors Journal · doi:10.1109/jsen.2007.909923 · Cited by 18
“According to [15], the tensile yield strain for human cortical bone and trabecular tissue were found to be 0.”
BackgroundA biomechanical study of proximal tibia bone grafting through the lateral approach
Lim, C. T., Ng, D. Q. K., Tan, K. J., et al. (2016) · Injury · doi:10.1016/j.injury.2016.09.017 · Cited by 18
Smit, T., Aage, N., Haschtmann, D., et al. (2024) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2024.106695 · Cited by 17
“We conclude that the mechanical tests could validate the FE model (excluding the bone material model, which was validated in [39]) that was described in section 2.4.”
BackgroundMethodInfluentialPal, S., & Bhattacharyya, A. (2025) · Polymer Testing · doi:10.1016/j.polymertesting.2025.108687 · Cited by 17
Allena, R., Scerrato, D., Bersani, A. M., et al. (2025) · Mathematics and Mechanics of Complex Systems · doi:10.2140/memocs.2025.13.347 · Cited by 17
Zeng, W., Lewicki, K. A., Chen, Z., et al. (2021) · Medicine in Novel Technology and Devices · doi:10.1016/j.medntd.2021.100076 · Cited by 17
Omer, M., Ali, H., Orlovskaya, N. A., Ballesteros, A., Cheong, V. S., Martyniak, K., Wei, F., Collins, B., Yarmolenko, S. N., Asiatico, J. T., et al. (2022) · Nutrients · doi:10.3390/nu14153165 · Cited by 17
Suitability of Gelatin Methacrylate and Hydroxyapatite Hydrogels for 3D-Bioprinted Bone Tissue
Stolarov, P., Vries, J. D., Stapleton, S., Morris, L., Martyniak, K., & Kean, T. J. (2024) · Materials · doi:10.3390/ma17051218 · Cited by 18
Baumann, A. P., Shi, X., Roeder, R. K., & Niebur, G. L. (2015) · Computer Methods in Biomechanics & Biomedical Engineering · doi:10.1080/10255842.2015.1041022 · Cited by 17
“While these models can be calibrated to capture the apparent-level mechanical behavior (Bayraktar et al. 2004b; Morgan et al. 2004; q 2015 Taylor & Francis *Corresponding author.”
BackgroundMethodResultInfluentialSelf-citationZhang, G., Yang, J., Guan, F., et al. (2016) · Journal of Biomechanical Engineering · doi:10.1115/1.4034254 · Cited by 17
A mechano-biological model of multi-tissue evolution in bone
Frame, J. C., Rohan, P., Corté, L., & Allena, R. (2017) · Continuum Mechanics and Thermodynamics · doi:10.1007/s00161-017-0611-9 · Cited by 17
“006 [6] has been used to normalize the strain.”
BackgroundMethodAraújo, R. M. N., & Polcyn, M. J. (2013) · Palaeontologia Electronica · doi:10.26879/287 · Cited by 17
“Additionally, variation in different types of bone tissue is not well-known, even for humans, although some data are available (Dechow et al., 1993; Rho et al., 1997; Bayraktar et al., 2004).”
BackgroundAwadalla, M., Al‐Dirini, R. M. A., O’Rourke, D., et al. (2019) · Journal of Orthopaedic Research® · doi:10.1002/jor.24232 · Cited by 17
“With regards to the strain, the predicted strains in the metaphyseal region were well below the yield strain for bone of 7,000me.(38,46) Including a stem resulted in statistically significant reductions in the mean and 95th percentile CPS value in the metaphyseal bone surrounding the sleeve.”
BackgroundFracture risk assessment in metastatic femurs: a patient-specific CT-based finite-element approach
Falcinelli, C., Martino, A. C. D., Gizzi, A., et al. (2019) · Meccanica · doi:10.1007/s11012-019-01097-x · Cited by 17
Exploratory Full-Field Strain Analysis of Regenerated Bone Tissue from Osteoinductive Biomaterials
Fernández, M. P., Black, C. R. M., Dawson, J. I., Gibbs, D., Kanczler, J. M., Oreffo, R. O. C., & Tozzi, G. (2020) · Materials · doi:10.3390/ma13010168 · Cited by 17
“1), during the first two compression steps, strains were typically below 3000 με in magnitude, and only higher strain concentrations were observed after 3% compression in the newly formed trabeculae, with strain values approaching the yielding (~10,000 με in compression [64]).”
BackgroundIs the 0.2%-Strain-Offset Approach Appropriate for Calculating the Yield Stress of Cortical Bone?
Zhang, G., Luo, J., Zheng, G., Bai, Z., Cao, L., & Mao, H. (2021) · Annals of Biomedical Engineering · doi:10.1007/s10439-020-02719-2 · Cited by 17
Effects of Extracellular Osteoanabolic Agents on the Endogenous Response of Osteoblastic Cells
Alloisio, G., Ciaccio, C., Fasciglione, G. F., Tarantino, U., Marini, S., Coletta, M., & Gioia, M. (2021) · Cells · doi:10.3390/cells10092383 · Cited by 20
“, high resistance to compression) [18].”
A Variation of Particle Swarm Optimization for Training of Artificial Neural Networks
Zamani, M., & Sadeghi, A. (2010) · InTech eBooks · doi:10.5772/7819 · Cited by 17
Image-Based Finite Element Analysis
Boyd, S. K. (2008) · Springer eBooks · doi:10.1007/978-3-540-68993-5_14 · Cited by 17
“3 to 18GPa, and cortical bone from 15 to 26GPa (Rho et al. 1993; Van Rietbergen et al. 1995; Zysset et al. 1999; Cowin 2001; Bayraktar et al. 2004; Hoffler et al. 2005).”
BackgroundKinzl, M., Wolfram, U., & Pahr, D. H. (2013) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2013.04.026 · Cited by 17
Understanding the etiology of the posteromedial tibial stress fracture
Milgrom, C., Burr, D. B., Finestone, A. S., & Voloshin, A. (2015) · Bone · doi:10.1016/j.bone.2015.04.033 · Cited by 16
“The highest tensile strain recorded, 2150 microstrain during staircase jumps, was 30% of the typical tensile yield strain for human cortical bone [11].”
BackgroundWu, W., Xin, J., Hu, B., Chen, R., Huang, D., Huang, Z., Feng, J., Du, C., & Shan, B. (2023) · Additive manufacturing · doi:10.1016/j.addma.2023.103735 · Cited by 16
Konow, T., Glismann, K., Lampe, F., et al. (2023) · Journal of Orthopaedic Research® · doi:10.1002/jor.25729 · Cited by 16
“17,31 The reduced distance between the stem and the cortex due to varus stem alignment inevitably leads to a decreased thickness of the trabecular layer between stem and cortex.”
BackgroundResult3D-DXA Based Finite Element Modelling for Femur Strength Prediction: Evaluation Against QCT.
Qasim, M., Picazo, M. L., Wills, C. R., et al. (2024) · Journal of Clinical Densitometry · doi:10.1016/j.jocd.2024.101471 · Cited by 16
Kim, C.-J., Lee, J. S., Goh, T. S., et al. (2024) · Scientific Reports · doi:10.1038/s41598-024-69783-9 · Cited by 16
“Previous studies on human femur properties confirmed the yield stress of cancellous bone as 133.6 MPa and cortical bone as 153 MPa, which were applied in this analysis 21,22 .”
MethodInfluential
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
