The effects of non-periodic microstructure and defects on the compressive strength of two-dimensional cellular solids
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Numerical models that more closely approximate the irregularity of the trabecular architecture and the inhomogeneity in both architecture and tissue-level properties have been employed.
“Numerical models that more closely approximate the irregularity of the trabecular architecture and the inhomogeneity in both architecture and tissue-level properties have been employed (e.g., 131).”
From Bone Mechanical Properties in Healthy and Diseased States (2018) · cites this paper as [131]
Cites
Introduction to Percolation Theory
Blanc, R. (1986) · Springer eBooks · doi:10.1007/978-94-009-4374-2_13 · Cited by 2,906 · see citing works
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 · see citing works
Richards, O. W., de Hoff, R. T., & Rhines, F. N. (1969) · Transactions of the American Microscopical Society · doi:10.2307/3224516 · Cited by 1,279 · see citing works
Quantification of connectivity in cancellous bone, with special emphasis on 3-D reconstructions
Odgaard, A., & Gundersen, H. J. G. (1993) · Bone · doi:10.1016/8756-3282(93)90245-6 · Cited by 695 · see citing works
In-plane compressive response and crushing of honeycomb
Papka, S. D., & Kyriakides, S. (1994) · Journal of the Mechanics and Physics of Solids · doi:10.1016/0022-5096(94)90085-x · Cited by 463 · see citing works
Silva, M. J., Hayes, W. C., & Gibson, L. J. (1995) · International Journal of Mechanical Sciences · doi:10.1016/0020-7403(94)00018-f · Cited by 336 · see citing works
Self-citationElasto-plastic yield limits and deformation laws for transversely crushed honeycombs
Klintworth, J. W., & Stronge, W. J. (1988) · International Journal of Mechanical Sciences · doi:10.1016/0020-7403(88)90060-4 · Cited by 174 · see citing works
Finite element modeling of damage accumulation in trabecular bone under cyclic loading
Guo, X.-D. E., McMahon, T. A., Keaveny, T. M., Hayes, W. C., & Gibson, L. J. (1994) · Journal of Biomechanics · doi:10.1016/0021-9290(94)90203-8 · Cited by 100 · see citing works
Self-citationA note on the deformation behaviour of two-dimensional model cellular structures
Prakash, O., Bichebois, P., Bréchet, Y., et al. (1996) · Philosophical magazine. A/Philosophical magazine. A. Physics of condensed matter. Structure, defects and mechanical properties · doi:10.1080/01418619608242994 · Cited by 28 · see citing works
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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 · see citing works
Biomechanics of cellular solids
Gibson, L. J. (2005) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2004.09.027 · Cited by 961 · see citing works
Self-citation
- Authors
- Silva, M. J., & Gibson, L. J.
- Affiliations
- Harvard University (US)
- Venue
- International Journal of Mechanical Sciences
- Publisher
- Elsevier BV
- Published
- 1997-05
- Volume
- 39
- Issue
- 5
- Pages
- 549-563
- ISSN
- 0020-7403 (ISSN-L)
- OpenAlex
- W2064437522
- Cited by
- 364
- References
- 9
- Citations by year
- 2026: 12 · 2025: 11 · 2024: 10 · 2023: 14 · 2022: 10 · 2021: 10 · 2020: 10 · 2019: 10 · 2018: 16 · 2017: 14 · 2016: 14 · 2015: 10 · 2014: 21 · 2013: 24 · 2012: 13
- FWCI
- 34.43
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- International Journal of Mechanical Sciences (publishedVersion)
- Topics
- Physical Sciences › Engineering › Mechanical Engineering › Cellular and Composite Structures
- Physical Sciences › Engineering › Civil and Structural Engineering › Topology Optimization in Engineering
- Physical Sciences › Engineering › Mechanical Engineering › Advanced Materials and Mechanics
- Keywords
- cellular materials, compressive strength, defects, plastic collapse, elastic buckling, percolation threshold, hexagonal honeycomb, effective mechanical properties, failure modes
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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.
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.
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