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The relationship between the elasticity tensor and the fabric tensor

Cowin, Stephen C.·1985·Mechanics of Materials

DOI 10.1016/0167-6636(85)90012-2

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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
Quantitative stereology
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
A new representation theorem for isotropic functions: An answer to Professor G. F. Smith's criticism of my papers on representations for isotropic functions
Wang, C. C. (1970) · Archive for Rational Mechanics and Analysis · doi:10.1007/bf00272242 · Cited by 202

Show all 22 references

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

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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)
DOI: 10.1016/0167-6636(85)90012-2
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
Licence: www.elsevier.com/tdm/userlicense/1.0/ (tdm)
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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The relationship between the elasticity tensor and the fabric tensor

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