The DOI matches its Crossref record; 22 of the 22 references it cites were found in a registry or an index.
The relationship between the elasticity tensor and the fabric tensor
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Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Cowin (86) developed equations for relating the elastic constants of an orthotropic material to its porosity and fabric.”
From Bone Mechanical Properties in Healthy and Diseased States (2018) · cites this paper as [86]
In the citing paper
“For example, Kabel et al. (133) used micro-FE analysis to estimate all nine orthotropic elastic constants of specimens of trabecular bone from multiple anatomic sites and employed these data to determine the values of the coefficients in the fabric–elasticity relationships proposed earlier by Cowin (86).”
From Bone Mechanical Properties in Healthy and Diseased States (2018) · cites this paper as [86]
Citations
Cites
The Non-Linear Field Theories of Mechanics
Truesdell, C. A., & Noll, W. (1965) · Handbuch der Physik · doi:10.1007/978-3-642-46015-9_1 · Cited by 3,369
Ondracek, G. (1972) · Journal of Nuclear Materials · doi:10.1016/0022-3115(72)90033-5 · Cited by 2,664
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
Initial Fabrics and their Relations to Mechanical Properties of Granular Material
Oda, M. (1972) · SOILS AND FOUNDATIONS · doi:10.3208/sandf1960.12.17 · Cited by 866
Characterization of microstructural anisotropy in orthotropic materials using a second rank tensor
Harrigan, T. P., & Mann, R. W. (1984) · Journal of Materials Science · doi:10.1007/bf00540446 · Cited by 610
The quantitative morphology of anisotropic trabecular bone
Whitehouse, W. J. (1974) · Journal of Microscopy · doi:10.1111/j.1365-2818.1974.tb03878.x · Cited by 579
The Mechanism of Fabric Changes During Compressional Deformation of Sand
Oda, M. (1972) · SOILS AND FOUNDATIONS · doi:10.3208/sandf1972.12.1 · Cited by 402
Young's modulus of porous materials
Wang, J. C. (1984) · Journal of Materials Science · doi:10.1007/bf00540451 · Cited by 277
American Institute of Physics Conference Proceedings
Rudolf, P., de Graaf, N., Koornstra, R.-A., van Tijn, P., & Kool, D. M. (2016) · Cited by 260
Wang, C. C. (1970) · Archive for Rational Mechanics and Analysis · doi:10.1007/bf00272242 · Cited by 202
Research works printed but not linked: 1
- Oda, 1972, Deformational mechanism of sand in triaxial compression tests, Soils and Foundations (Jap. Soc. Soil Mech. Found. Engr.), 12, 45
Cited by
Sorted by citations
Nature’s hierarchical materials
Fratzl, P., & Weinkamer, R. (2007) · Progress in Materials Science · doi:10.1016/j.pmatsci.2007.06.001 · Cited by 2,788
Stress-dependent finite growth in soft elastic tissues
Rodriguez, E. K., Hoger, A., & McCulloch, A. D. (1994) · Journal of Biomechanics · doi:10.1016/0021-9290(94)90021-3 · Cited by 1,464
Trabecular bone modulus–density relationships depend on anatomic site
Morgan, E. F., Bayraktar, H. H., & Keaveny, T. M. (2003) · Journal of Biomechanics · doi:10.1016/s0021-9290(03)00071-x · Cited by 1,209
Quantification of Bone Microarchitecture with the Structure Model Index
Hildebrand, T., & Ruegsegger, P. (1997) · Computer Methods in Biomechanics & Biomedical Engineering · doi:10.1080/01495739708936692 · Cited by 1,053
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
Metadata
- Authors
- Cowin, S. C.
- Affiliations
- Tulane University (US)
- Corresponding author
- Cowin, Stephen C.
- Venue
- Mechanics of Materials
- Publisher
- Elsevier BV
- Published
- 1985-07
- Volume
- 4
- Issue
- 2
- Pages
- 137-147
- ISSN
- 0167-6636 (ISSN-L)
- OpenAlex
- W1974259943
- Cited by
- 570
- References
- 22
- Citations by year
- 2026: 19 · 2025: 21 · 2024: 13 · 2023: 20 · 2022: 20 · 2021: 14 · 2020: 21 · 2019: 10 · 2018: 16 · 2017: 18 · 2016: 9 · 2015: 24 · 2014: 29 · 2013: 19 · 2012: 23
- FWCI
- 6.84
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Mechanics of Materials (publishedVersion)
- Topics
- Physical Sciences › Engineering › Mechanics of Materials › Composite Material Mechanics
- Physical Sciences › Engineering › Mechanics of Materials › Elasticity and Wave Propagation
- Physical Sciences › Engineering › Biomedical Engineering › Elasticity and Material Modeling
- Keywords
- elastic tensor, fabric tensor, porous media, elastic anisotropy, microstructure, orthotropy, transverse isotropy, isotropy, eigenvalues, fourth-rank tensors
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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.
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