The DOI matches its Crossref record; 60 of the 61 references it cites were found in a registry or an index.
Fracture resistance of human cortical bone across multiple length-scales at physiological strain rates
Abstract
While most fracture-mechanics investigations on bone have been performed at low strain rates, physiological fractures invariably occur at higher loading rates. Here, at strain rates from 10(-5) to 10(-1) s(-1), we investigate deformation and fracture in bone at small length-scales using in situ small-angle x-ray scattering (SAXS) to study deformation in the mineralized collagen fibrils and at the microstructural level via fracture-mechanics experiments to study toughening mechanisms generating toughness through crack-tip shielding. Our results show diminished bone toughness at increasing strain rates as cracks penetrate through the osteons at higher strain rates instead of deflecting at the cement lines, which is a prime toughening mechanism in bone at low strain rates. The absence of crack deflection mechanisms at higher strain rates is consistent with lower intrinsic bone matrix toughness. In the SAXS experiments, higher fibrillar strains at higher strain rates suggest less inelastic deformation and thus support a lower intrinsic toughness. The increased incidence of fracture induced by high strain rates can be associated with a loss in toughness in the matrix caused by a strain rate induced stiffening of the fibril ductility, i.e., a "locking-up" of the viscous sliding and sacrificial bonding mechanisms, which are the origin of inelastic deformation (and toughness) in bone at small length-scales.
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
“Values of KIC, the fracture toughness for so-called mode I loading (tensile loading), range between 2 and 6 MPa√m and tend to be lower for longitudinal than for transverse fracture (15, 16) and to be lower at high strain rates (17, 18).”
From Bone Mechanical Properties in Healthy and Diseased States (2018) · cites this paper as [17]
In the citing paper
“Values of KIC, the fracture toughness for so-called mode I loading (tensile loading), range between 2 and 6 MPa√m and tend to be lower for longitudinal than for transverse fracture (15, 16) and to be lower at high strain rates (17, 18).”
From Bone Mechanical Properties in Healthy and Diseased States (2018) · cites this paper as [17]
Citations
Cites
Fiji: an open-source platform for biological-image analysis
Schindelin, J., Arganda-Carreras, I., Frise, E., Kaynig, V., Longair, M., Pietzsch, T., Preibisch, S., Rueden, C., Saalfeld, S., Schmid, B., et al. (2012) · Nature Methods · doi:10.1038/nmeth.2019 · Cited by 66,890
Epidemiology and outcomes of osteoporotic fractures
Cummings, S. R., & Melton, L. J. (2002) · The Lancet · doi:10.1016/s0140-6736(02)08657-9 · Cited by 3,821
THE MATERIAL BONE: Structure-Mechanical Function Relations
Weiner, S., & Wagner, H. D. (1998) · Annual Review of Materials Science · doi:10.1146/annurev.matsci.28.1.271 · Cited by 2,717
The compressive behavior of bone as a two-phase porous structure
Carter, D., & Hayes, W. (1977) · The Journal of Bone & Joint Surgery · doi:10.2106/00004623-197759070-00021 · Cited by 2,001
Perspective on the Development of High‐Toughness Ceramics
Evans, A. G. (1990) · Journal of the American Ceramic Society · doi:10.1111/j.1151-2916.1990.tb06493.x · Cited by 1,638
Crack deflection processes—I. Theory
Faber, K. T., & Evans, A. G. (1983) · Acta Metallurgica · doi:10.1016/0001-6160(83)90046-9 · Cited by 1,455
Crack deflection at an interface between dissimilar elastic materials
He, M., & Hutchinson, J. W. (1989) · International Journal of Solids and Structures · doi:10.1016/0020-7683(89)90021-8 · Cited by 1,400
On the Fracture Toughness of Advanced Materials
Launey, M. E., & Ritchie, R. O. (2009) · Advanced Materials · doi:10.1002/adma.200803322 · Cited by 976
Self-citationMechanisms of fatigue-crack propagation in ductile and brittle solids
Ritchie, R. O. (1999) · International Journal of Fracture · doi:10.1023/a:1018655917051 · Cited by 963
Self-citationFantner, G. E., Hassenkam, T., Kindt, J. H., Weaver, J. C., Birkedal, H., Pechenik, L., Cutroni, J. A., Cidade, G. A. G., Stucky, G. D., Morse, D. E., et al. (2005) · Nature Materials · doi:10.1038/nmat1428 · Cited by 933
Cited by
Sorted by citations
Bone Mechanical Properties in Healthy and Diseased States
Morgan, E. F., Unnikrisnan, G. U., & Hussein, A. I. (2018) · Annual Review of Biomedical Engineering · doi:10.1146/annurev-bioeng-062117-121139 · Cited by 1,026
“Values of KIC, the fracture toughness for so-called mode I loading (tensile loading), range between 2 and 6 MPa√m and tend to be lower for longitudinal than for transverse fracture (15, 16) and to be lower at high strain rates (17, 18).”
Multiscale Toughening Mechanisms in Biological Materials and Bioinspired Designs
Huang, W. D., Restrepo, D., Jung, J., Su, F. Y., Liu, Z., Ritchie, R. O., McKittrick, J. M., Zavattieri, P. D., & Kisailus, D. (2019) · Advanced Materials · doi:10.1002/adma.201901561 · Cited by 664
Self-citationMechanical basis of bone strength: influence of bone material, bone structure and muscle action.
Hart, N. H., Nimphius, S., Rantalainen, T., Ireland, A., Siafarikas, A., & Newton, R. U. (2017) · Europe PMC (PubMed Central) · Cited by 451
High-aspect ratio fillers: Fiber-reinforced composites and their anisotropic properties
VALLITTU, P. K. (2014) · Dental Materials · doi:10.1016/j.dental.2014.07.009 · Cited by 250
Zimmermann, E. A., & Ritchie, R. O. (2015) · Advanced Healthcare Materials · doi:10.1002/adhm.201500070 · Cited by 244
Self-citation
Metadata
- Authors
- Zimmermann, E. A., Gludovatz, B., Schaible, E., Busse, B., & Ritchie, R. O.
- Affiliations
- Lawrence Berkeley National Laboratory (US)
- Corresponding author
- Ritchie, Robert O.
- Venue
- Biomaterials
- Publisher
- Elsevier BV
- Published
- 2014-07
- Volume
- 35
- Issue
- 21
- Pages
- 5472-5481
- ISSN
- 0142-9612 (ISSN-L)
- OpenAlex
- W1964465273
- Cited by
- 163
- References
- 61
- Citations by year
- 2026: 7 · 2025: 12 · 2024: 18 · 2023: 10 · 2022: 11 · 2021: 16 · 2020: 22 · 2019: 16 · 2018: 14 · 2017: 10 · 2016: 11 · 2015: 14 · 2014: 2
- FWCI
- 12.77
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Biomaterials (publishedVersion)
- PubMed (publishedVersion)
- Funders
- National Institute of Dental and Craniofacial Research (R01DE015633)
- Topics
- Health Sciences › Medicine › Orthopedics and Sports Medicine › Bone health and osteoporosis research
- Physical Sciences › Materials Science › Biomaterials › Calcium Carbonate Crystallization and Inhibition
- Health Sciences › Medicine › Orthopedics and Sports Medicine › Bone fractures and treatments
- Keywords
- cortical bone, fracture resistance, strain rate sensitivity, bone toughness, crack deflection, cement lines, osteons, collagen fibrils, small-angle X-ray scattering, crack tip shielding, inelastic deformation, physiological load
- MeSH terms
- Biomechanical Phenomena, Bone Matrix, Humans, Male, Microscopy, Electron, Scanning, Middle Aged, Radiography, X-Ray Diffraction, Fibril-Associated Collagens, Fractures, Bone, Scattering, Small Angle
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