An alternative model for anisotropic elasticity based on fabric tensors
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These relations were further developed to uncouple volume fraction from fabric and to ensure positive definiteness of the elasticity tensor a priori.
“These relations were further developed to uncouple volume fraction from fabric (128) and to ensure positive definiteness of the elasticity tensor a priori (129).”
From Bone Mechanical Properties in Healthy and Diseased States (2018) · cites this paper as [129]
Cites
Distribution of directional data and fabric tensors
Kenichi, K. (1984) · International Journal of Engineering Science · doi:10.1016/0020-7225(84)90090-9 · Cited by 668 · see citing works
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 · see citing works
The relationship between the elasticity tensor and the fabric tensor
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Applications of Tensor Functions in Solid Mechanics
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Self-citationStereological determination of structural anisotropy
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Self-citationSpherical Harmonics and Tensors for Classical Field Theory
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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
“These relations were further developed to uncouple volume fraction from fabric (128) and to ensure positive definiteness of the elasticity tensor a priori (129).”
A 3D damage model for trabecular bone based on fabric tensors
Zysset, P. K., & Curnier, A. (1996) · Journal of Biomechanics · doi:10.1016/s0021-9290(96)80006-6 · Cited by 117 · see citing works
Self-citationA Global Relationship Between Trabecular Bone Morphology and Homogenized Elastic Properties
Zysset, P. K., Goulet, R. W., & Hollister, S. J. (1998) · Journal of Biomechanical Engineering · doi:10.1115/1.2834756 · Cited by 105 · see citing works
Self-citationElastic Anisotropy of Human Cortical Bone Secondary Osteons Measured by Nanoindentation
Franzoso, G., & Zysset, P. K. (2009) · Journal of Biomechanical Engineering · doi:10.1115/1.3005162 · Cited by 89 · see citing works
Self-citationSchwiedrzik, J. J., Wolfram, U., & Zysset, P. K. (2013) · Biomechanics and Modeling in Mechanobiology · doi:10.1007/s10237-013-0472-5 · Cited by 77 · see citing works
Self-citationA fabric-dependent fracture criterion for bone
Pietruszczak, S., Inglis, D., & Pande, G. N. (1999) · Journal of Biomechanics · doi:10.1016/s0021-9290(99)00096-2 · Cited by 51 · see citing works
Levrero-Florencio, F., Margetts, L., Sales, E., Xie, S., Manda, K., & Pankaj, P. (2016) · Journal of the Mechanical Behavior of Biomedical Materials · doi:10.1016/j.jmbbm.2016.04.008 · Cited by 46 · see citing works
An Alternative Fabric-based Yield and Failure Criterion for Trabecular Bone
Zysset, P., & Rincón, L. (2006) · Mechanics of Biological Tissue · doi:10.1007/3-540-31184-x_33 · Cited by 39 · see citing works
Self-citationElastic Anisotropy of Trabecular Bone in the Elderly Human Vertebra
Unnikrishnan, G. U., Gallagher, J. A., Hussein, A. I., Barest, G. D., & Morgan, E. F. (2015) · Journal of Biomechanical Engineering · doi:10.1115/1.4031415 · Cited by 13 · see citing works
- Authors
- Zysset, P. K., & Curnier, A.
- Affiliations
- École Polytechnique Fédérale de Lausanne (CH)
- Corresponding author
- Zysset, P.K.
- ORCID
- Zysset, P.K.
- Venue
- Mechanics of Materials
- Publisher
- Elsevier BV
- Published
- 1995-11
- Volume
- 21
- Issue
- 4
- Pages
- 243-250
- ISSN
- 0167-6636 (ISSN-L)
- OpenAlex
- W2035485049
- Cited by
- 210
- References
- 11
- Citations by year
- 2026: 13 · 2025: 6 · 2024: 6 · 2023: 15 · 2022: 5 · 2021: 4 · 2020: 6 · 2019: 8 · 2018: 4 · 2017: 8 · 2016: 10 · 2015: 8 · 2014: 15 · 2013: 8 · 2012: 12
- FWCI
- 2.88
- Type
- journal article
- Language
- en
- Open access
- green
- infoscience.epfl.ch
- Locations
- Mechanics of Materials (publishedVersion)
- Infoscience (Ecole Polytechnique Fédérale de Lausanne) (submittedVersion)
- Infoscience (Ecole Polytechnique Fédérale de Lausanne) (submittedVersion, cc-by-nc-nd)
- Funders
- University of Michigan
- College of Pharmacy, University of Michigan
- Topics
- Physical Sciences › Engineering › Mechanics of Materials › Composite Material Mechanics
- Physical Sciences › Engineering › Biomedical Engineering › Elasticity and Material Modeling
- Physical Sciences › Engineering › Mechanics of Materials › Elasticity and Wave Propagation
- Keywords
- elastic anisotropy, fabric tensor, spherical harmonics, orientation distribution function, microstructure, representation theorem, homogeneity assumption, positive definiteness, multiphase materials, damaged materials
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