The relationship between the elasticity tensor and the fabric tensor
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Cowin developed equations for relating the elastic constants of an orthotropic material to its porosity and fabric.
“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]
Kabel et al. 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.
“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]
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 · see citing works
Ondracek, G. (1972) · Journal of Nuclear Materials · doi:10.1016/0022-3115(72)90033-5 · Cited by 2,664 · see citing works
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 · see citing works
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 · 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 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 · see citing works
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 · see citing works
Young's modulus of porous materials
Wang, J. C. (1984) · Journal of Materials Science · doi:10.1007/bf00540451 · Cited by 277 · see citing works
American Institute of Physics Conference Proceedings
Rudolf, P., de Graaf, N., Koornstra, R.-A., van Tijn, P., & Kool, D. M. (2016) · Cited by 260 · see citing works
Wang, C. C. (1970) · Archive for Rational Mechanics and Analysis · doi:10.1007/bf00272242 · Cited by 202 · see citing works
Truesdell, C. A. (1955) · Indiana University Mathematics Journal · doi:10.1512/iumj.1955.4.54002 · Cited by 198 · see citing works
Deformation and failure of granular materials.
Matsuoka, H. (1988) · Journal of the Society of Powder Technology Japan · doi:10.4164/sptj.25.462 · Cited by 192 · see citing works
Ultrasonic Measurement of Orthotropic Elastic Constants of Bovine Femoral Bone
Buskirk, W. C. V., Cowin, S. C., & Ward, R. N. (1981) · Journal of Biomechanical Engineering · doi:10.1115/1.3138262 · Cited by 183 · see citing works
Self-citationSome experimentally based fundamental results on the mechanical behaviour of granular materials
Oda, M., 小西, 純., & Nemat-Nasser, S. (1980) · Géotechnique · doi:10.1680/geot.1980.30.4.479 · Cited by 153 · see citing works
Scanning electron microscope studies of trabecular bone in the proximal end of the human femur.
Whitehouse, W. J., & Dyson, E. D. (1974) · PubMed · Cited by 108 · see citing works
Continuum Mechanical and Statistical Approaches in the Mechanics of Granular Materials
Cowin, S. C., Satake, M., & Kenyon, D. E. (1979) · Journal of Applied Mechanics · doi:10.1115/1.3424704 · Cited by 93 · see citing works
Self-citationFirst Pressure Derivative of Bulk Modulus for Porous Materials
Walsh, J. B. (1971) · Journal of Applied Physics · doi:10.1063/1.1660150 · Cited by 73 · see citing works
The First Pressure Derivative of the Shear Modulus of Porous Materials
Walton, K. (1974) · Geophysical Journal International · doi:10.1111/j.1365-246x.1974.tb03643.x · Cited by 65 · see citing works
Fabrics and Their Effects on the Deformation Behaviors of Sand
Oda, M. (1977) · Medical Entomology and Zoology · Cited by 31 · see citing works
Thermo-hypo-elasticity and derived fracture and yield conditions
Tokuoka, T. (1972) · Archive for Rational Mechanics and Analysis · doi:10.1007/bf00250687 · Cited by 11 · see citing works
Connection between structure and strength of porous solids
Kendall, K. (1984) · AIP conference proceedings · doi:10.1063/1.34307 · Cited by 8 · see citing works
Granular media as rate-independent simple materials: Constitutive relations
Gudehus, G. (1969) · Powder Technology · doi:10.1016/0032-5910(69)80106-3 · Cited by 7 · see citing works
Flagged first, then by citations
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 · see citing works
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 · see citing works
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 · see citing works
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 · see citing works
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
Biomechanics of Trabecular Bone
Keaveny, T. M., Morgan, E. F., Niebur, G. L., & Yeh, O. C. (2001) · Annual Review of Biomedical Engineering · doi:10.1146/annurev.bioeng.3.1.307 · Cited by 807 · see citing works
Three-dimensional methods for quantification of cancellous bone architecture
Odgaard, A. (1997) · Bone · doi:10.1016/s8756-3282(97)00007-0 · Cited by 781 · see citing works
The relationship between the structural and orthogonal compressive properties of trabecular bone
Goulet, R. W., Goldstein, S. A., Ciarelli, M. J., Kuhn, J. L., Brown, M. B., & Feldkamp, L. A. (1994) · Journal of Biomechanics · doi:10.1016/0021-9290(94)90014-0 · Cited by 741 · see citing works
The ability of three-dimensional structural indices to reflect mechanical aspects of trabecular bone
Ulrich, D., van Rietbergen, B., Laib, A., & Ruegsegger, P. (1999) · Bone · doi:10.1016/s8756-3282(99)00098-8 · Cited by 718 · see citing works
The mechanical properties of trabecular bone: Dependence on anatomic location and function
Goldstein, S. A. (1987) · Journal of Biomechanics · doi:10.1016/0021-9290(87)90023-6 · Cited by 675 · see citing works
Biomechanics and Mechanobiology of Trabecular Bone: A Review
Oftadeh, R., Perez‐Viloria, M., Villa‐Camacho, J. C., Vaziri, A., & Nazarian, A. (2014) · Journal of Biomechanical Engineering · doi:10.1115/1.4029176 · Cited by 554 · see citing works
Recent advances in X-ray microtomography applied to materials
Stock, S. R. (2008) · International Materials Reviews · doi:10.1179/174328008x277803 · Cited by 516 · see citing works
Mechanical and textural properties of pelvic trabecular bone
Dalstra, M., Huiskes, R., Odgaard, A., & van Erning, L. (1993) · Journal of Biomechanics · doi:10.1016/0021-9290(93)90014-6 · Cited by 361 · see citing works
The fabric dependence of the orthotropic elastic constants of cancellous bone
Turner, C. H., Cowin, S. C., Rho, J. Y., ASHMAN, R. B., & Rice, J. C. (1990) · Journal of Biomechanics · doi:10.1016/0021-9290(90)90048-8 · Cited by 347 · see citing works
Self-citationFabric and elastic principal directions of cancellous bone are closely related
Odgaard, A., Kabel, J., van Rietbergen, B., Dalstra, M., & Huiskes, R. (1997) · Journal of Biomechanics · doi:10.1016/s0021-9290(96)00177-7 · Cited by 338 · 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
Majumdar, S., Kothari, M., Augat, P., Newitt, D. C., Link, T. M., Lin, J. C., Lang, T., Lü, Y., & Genant, H. K. (1998) · Bone · doi:10.1016/s8756-3282(98)00030-1 · Cited by 329 · see citing works
Hollister, S. J., Brennan, J. M., & Kikuchi, N. (1994) · Journal of Biomechanics · doi:10.1016/0021-9290(94)90019-1 · Cited by 322 · see citing works
A 20-Year Perspective on the Mechanical Properties of Trabecular Bone
Keaveny, T. M., & Hayes, W. C. (1993) · Journal of Biomechanical Engineering · doi:10.1115/1.2895536 · Cited by 318 · see citing works
Determinants of the mechanical properties of bones
Martin, R. B. (1991) · Journal of Biomechanics · doi:10.1016/0021-9290(91)90379-2 · Cited by 317 · see citing works
On quantitative characterization of microstructures and effective properties
Kachanov, M. L., & Sevostianov, I. (2004) · International Journal of Solids and Structures · doi:10.1016/j.ijsolstr.2004.06.016 · Cited by 278 · see citing works
Particle-Based Discrete Element Modeling: Geomechanics Perspective
O’Sullivan, C. (2011) · International Journal of Geomechanics · doi:10.1061/(asce)gm.1943-5622.0000024 · Cited by 260 · see citing works
Methods and applications of digital volume correlation
Bay, B. K. (2008) · The Journal of Strain Analysis for Engineering Design · doi:10.1243/03093247jsa436 · Cited by 256 · see citing works
Nazarian, A., Stechow, D. V., Zurakowski, D., Müller, R., & Snyder, B. D. (2008) · Calcified Tissue International · doi:10.1007/s00223-008-9174-x · Cited by 244 · see citing works
McCALDEN, R. W., McGEOUGH, J. A., & COURT-BROWN, C. M. (1997) · The Journal of Bone & Joint Surgery · doi:10.2106/00004623-199703000-00016 · Cited by 221 · see citing works
A review of morphology–elasticity relationships in human trabecular bone: theories and experiments
Zysset, P. K. (2003) · Journal of Biomechanics · doi:10.1016/s0021-9290(03)00128-3 · Cited by 223 · see citing works
An alternative model for anisotropic elasticity based on fabric tensors
Zysset, P. K., & Curnier, A. (1995) · Mechanics of Materials · doi:10.1016/0167-6636(95)00018-6 · Cited by 210 · see citing works
Kabel, J., van Rietbergen, B., Odgaard, A., & Huiskes, R. (1999) · Bone · doi:10.1016/s8756-3282(99)00190-8 · Cited by 206 · see citing works
Micromechanical analysis of quasi‐brittle materials using fracture‐based interface elements
Carol, I., López, C. M., & Roa, O. (2001) · International Journal for Numerical Methods in Engineering · doi:10.1002/nme.277 · Cited by 205 · see citing works
Maquer, G., Musy, S. N., Wandel, J., Gross, T. J., & Zysset, P. K. (2014) · Journal of Bone and Mineral Research · doi:10.1002/jbmr.2437 · Cited by 200 · see citing works
Interrelationship of trabecular mechanical and microstructural properties in sheep trabecular bone
Mittra, E., Rubin, C. T., & Qin, Y. (2004) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2004.06.007 · Cited by 191 · see citing works
The role of an effective isotropic tissue modulus in the elastic properties of cancellous bone
Kabel, J., van Rietbergen, B., Dalstra, M., Odgaard, A., & Huiskes, R. (1999) · Journal of Biomechanics · doi:10.1016/s0021-9290(99)00045-7 · Cited by 191 · see citing works
Majumdar, S., Newitt, D. C., Jergas, M. D., Gies, A., Chiu, E., Osman, D., Keltner, J. R., Keyak, K., & Genant, H. K. (1995) · Bone · doi:10.1016/s8756-3282(95)00263-4 · Cited by 188 · see citing works
Mechanical and Elastic Properties of Transversely Isotropic Slate
Gholami, R., & Rasouli, V. (2013) · Rock Mechanics and Rock Engineering · doi:10.1007/s00603-013-0488-2 · Cited by 184 · see citing works
van Rietbergen, B., Odgaard, A., Kabel, J., & Huiskes, R. (1998) · Journal of Orthopaedic Research® · doi:10.1002/jor.1100160105 · Cited by 184 · see citing works
Trabecular bone remodeling: An experimental model
Goldstein, S. A., Matthews, L. S., Kuhn, J. L., & Hollister, S. J. (1991) · Journal of Biomechanics · doi:10.1016/0021-9290(91)90384-y · Cited by 182 · see citing works
Yield Function for Soil with Anisotropic Fabric
Oda, M., & Nakayama, H. (1989) · Journal of Engineering Mechanics · doi:10.1061/(asce)0733-9399(1989)115:1(89 · Cited by 179 · see citing works
Multi-axial mechanical properties of human trabecular bone
Rincón-Kohli, L., & Zysset, P. K. (2008) · Biomechanics and Modeling in Mechanobiology · doi:10.1007/s10237-008-0128-z · Cited by 178 · see citing works
ADACHI, T., TSUBOTA, K.-I., TOMITA, Y., & Hollister, S. J. (2001) · Journal of Biomechanical Engineering · doi:10.1115/1.1392315 · Cited by 174 · see citing works
Assessment of some failure criteria for strongly anisotropic geomaterials
Duveau, G., Shao, J. F., & Henry, J. P. (1998) · Mechanics of Cohesive-Frictional Materials · doi:10.1002/(sici)1099-1484(199801)3:1 · Cited by 171 · see citing works
Dispersion and wave propagation in discrete and continuous models for granular materials
Mühlhaus, H. ‐., & Oka, F. (1996) · International Journal of Solids and Structures · doi:10.1016/0020-7683(95)00178-6 · Cited by 167 · see citing works
TSUBOTA, K.-I., Suzuki, Y., Yamada, T., Hojo, M., Makinouchi, A., & ADACHI, T. (2009) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2009.02.030 · Cited by 165 · see citing works
TSUBOTA, K.-I., ADACHI, T., & TOMITA, Y. (2002) · Journal of Biomechanics · doi:10.1016/s0021-9290(02)00173-2 · Cited by 164 · see citing works
Local anisotropy analysis of injection moulded fibre reinforced polymer composites
Bernasconi, A., Cosmi, F., & Dreossi, D. (2008) · Composites Science and Technology · doi:10.1016/j.compscitech.2008.05.022 · Cited by 152 · see citing works
Pore3D: A software library for quantitative analysis of porous media
Brun, F., Mancini, L., Kasae, P., Favretto, S., Dreossi, D., & Tromba, G. (2010) · Nuclear Instruments and Methods in Physics Research Section A Accelerators Spectrometers Detectors and Associated Equipment · doi:10.1016/j.nima.2010.02.063 · Cited by 151 · see citing works
Modelling of anisotropic growth in biological tissues
Menzel, A. (2004) · Biomechanics and Modeling in Mechanobiology · doi:10.1007/s10237-004-0047-6 · Cited by 147 · see citing works
Bay, B. K. (1995) · Journal of Orthopaedic Research® · doi:10.1002/jor.1100130214 · Cited by 148 · see citing works
Huiskes, R., & Hollister, S. J. (1993) · Journal of Biomechanical Engineering · doi:10.1115/1.2895534 · Cited by 146 · see citing works
Impact of Spatial Resolution on the Prediction of Trabecular Architecture Parameters
Kothari, M., Keaveny, T. M., Lin, J. C., Newitt, D. C., Genant, H. K., & Majumdar, S. (1998) · Bone · doi:10.1016/s8756-3282(98)00031-3 · Cited by 144 · see citing works
Hellmich, C., Ulm, F., & Dormieux, L. (2004) · Biomechanics and Modeling in Mechanobiology · doi:10.1007/s10237-004-0040-0 · Cited by 138 · see citing works
Estimates of elastic moduli for granular material with anisotropic random packing structure
Chang, C. S., Chao, S., & Chang, Y. (1995) · International Journal of Solids and Structures · doi:10.1016/0020-7683(94)00225-l · Cited by 132 · see citing works
Packing Structure and Mechanical Properties of Granulates
Chang, C. S., & Misra, A. K. (1990) · Journal of Engineering Mechanics · doi:10.1061/(asce)0733-9399(1990)116:5(1077 · Cited by 130 · see citing works
On Wolff's law of trabecular architecture
Turner, C. H. (1992) · Journal of Biomechanics · doi:10.1016/0021-9290(92)90240-2 · Cited by 123 · see citing works
A three-dimensional elastic plastic damage constitutive law for bone tissue
Garcia, D., Zysset, P. K., Charlebois, M., & Curnier, A. (2008) · Biomechanics and Modeling in Mechanobiology · doi:10.1007/s10237-008-0125-2 · Cited by 120 · see citing works
Anisotropy of the elastic modulus of trabecular bone specimens from different anatomical locations
Augat, P., Link, T. M., Lang, T., Lin, J. C., Majumdar, S., & Genant, H. K. (1998) · Medical Engineering & Physics · doi:10.1016/s1350-4533(98)00001-0 · Cited by 119 · see citing works
Matsuura, M., Eckstein, F., Lochmüller, E.-M., & Zysset, P. K. (2008) · Biomechanics and Modeling in Mechanobiology · doi:10.1007/s10237-006-0073-7 · Cited by 117 · see citing works
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
A comparison of enhanced continuum FE with micro FE models of human vertebral bodies
Pahr, D. H., & Zysset, P. K. (2009) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2008.11.028 · Cited by 116 · see citing works
Öhman‐Mägi, C., Baleani, M., Perilli, E., Dall’Ara, E., Tassani, S., Baruffaldi, F., & Viceconti, M. (2007) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2006.11.020 · Cited by 114 · see citing works
Collagen-calcium phosphate composites
Lawson, A. C., & Czernuszka, J. T. (1998) · Proceedings of the Institution of Mechanical Engineers Part H Journal of Engineering in Medicine · doi:10.1243/0954411981534187 · Cited by 112 · see citing works
Inherent and induced anisotropy in plasticity theory of granular soils
Oda, M. (1993) · Mechanics of Materials · doi:10.1016/0167-6636(93)90025-m · Cited by 108 · see citing works
A 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
Three-dimensional nuclear magnetic resonance microimaging of trabecular bone
Chung, H., Wehrli, F. W., Williams, J. L., & Wehrli, S. L. (1995) · Journal of Bone and Mineral Research · doi:10.1002/jbmr.5650101005 · Cited by 103 · see citing works
MacLatchy, L., & Müller, R. (2002) · Journal of Human Evolution · doi:10.1006/jhev.2002.0559 · Cited by 100 · see citing works
Homminga, J. J., McCreadie, B. R., Weinans, H., & Huiskes, R. (2003) · Journal of Biomechanics · doi:10.1016/s0021-9290(03)00125-8 · Cited by 100 · see citing works
Fu, P., & Dafalias, Y. F. (2015) · International Journal of Solids and Structures · doi:10.1016/j.ijsolstr.2015.02.041 · Cited by 99 · see citing works
Micromechanics-Based Analysis of Stiffness Anisotropy in Asphalt Mixtures
Masad, E. A., Tashman, L., Somedavan, N., & Little, D. N. (2002) · Journal of Materials in Civil Engineering · doi:10.1061/(asce)0899-1561(2002)14:5(374 · Cited by 97 · see citing works
Njeh, C. F., Hodgskinson, R., Currey, J. D., & Langton, C. M. (1996) · Medical Engineering & Physics · doi:10.1016/1350-4533(95)00064-x · Cited by 96 · see citing works
Barvencik, F., Gebauer, M., Beil, F. T., Vettorazzi, E., Mumme, M., Rupprecht, M., Pogoda, P., Wegscheider, K., Rueger, J. M., Pueschel, K., et al. (2009) · Journal of Orthopaedic Research® · doi:10.1002/jor.20957 · Cited by 91 · see citing works
Fabric dependence of an anisotropic strength criterion
Cowin, S. C. (1986) · Mechanics of Materials · doi:10.1016/0167-6636(86)90022-0 · Cited by 87 · see citing works
Self-citationA review of the biomechanical properties of bone as a material
NATALI, A. N., & Meroi, E. A. (1989) · Journal of Biomedical Engineering · doi:10.1016/0141-5425(89)90058-7 · Cited by 88 · see citing works
Identification of the elastic symmetry of bone and other materials
Cowin, S. C., & Mehrabadi, M. M. (1989) · Journal of Biomechanics · doi:10.1016/0021-9290(89)90001-8 · Cited by 87 · see citing works
Self-citationContact based analysis of asphalt pavement with the effect of aggregate angularity
Zhu, H., & Nodes, J. E. (2000) · Mechanics of Materials · doi:10.1016/s0167-6636(99)00054-x · Cited by 85 · see citing works
Mean-field inelastic behavior of random arrays of identical spheres
Jenkins, J. T., & Strack, O. D. L. (1993) · Mechanics of Materials · doi:10.1016/0167-6636(93)90024-l · Cited by 81 · see citing works
Constitutive Modeling of Anisotropic Sand Behavior in Monotonic and Cyclic Loading
Gao, Z., & Zhao, J. (2015) · Journal of Engineering Mechanics · doi:10.1061/(asce)em.1943-7889.0000907 · Cited by 80 · see citing works
Schwiedrzik, 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
A thermo-mechanical damage model for rock stiffness during anisotropic crack opening and closure
Zhu, C., & Arson, C. F. (2013) · Acta Geotechnica · doi:10.1007/s11440-013-0281-0 · Cited by 79 · see citing works
Influence of polydispersity on micromechanics of granular materials
Shaebani, M. R., Madadi, M., Luding, S., & Wolf, D. E. (2012) · Physical Review E · doi:10.1103/physreve.85.011301 · Cited by 78 · see citing works
Anisotropic poroelasticity: fabric tensor formulation
Cowin, S. C. (2003) · Mechanics of Materials · doi:10.1016/j.mechmat.2003.05.001 · Cited by 77 · see citing works
Self-citationA method for evaluating the representative elementary volume based on joint survey of rock masses
Oda, M. (1988) · Canadian Geotechnical Journal · doi:10.1139/t88-049 · Cited by 77 · see citing works
Anisotropy of the fatigue behaviour of cancellous bone
Dendorfer, S., Maier, H. J., Taylor, D., & Hammer, J. (2008) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2007.09.037 · Cited by 76 · see citing works
Quantifying anisotropy of trabecular bone from gray-level images
Tabor, Z., & Rokita, E. (2006) · Bone · doi:10.1016/j.bone.2006.10.022 · Cited by 76 · see citing works
Star length distribution: a volume‐based concept for the characterization of structural anisotropy
Smit, T. H., Schneider, & Odgaard (1998) · Journal of Microscopy · doi:10.1046/j.1365-2818.1998.00394.x · Cited by 76 · see citing works
Bone Elasticity and Ultrasound Velocity Are Affected by Subtle Changes in the Organic Matrix
Mehta, S. S., Öz, O. K., & Antich, P. P. (2006) · Journal of Bone and Mineral Research · doi:10.1359/jbmr.1998.13.1.114 · Cited by 75 · see citing works
Biomechanical properties of human os calcanei
Lespessailles, É., Jullien, A., Eynard, E., Harba, R., Jacquet, G., Ildefonse, J. P., Ohley, W. J., & Benhamou, C. L. (1998) · Journal of Biomechanics · doi:10.1016/s0021-9290(98)00074-8 · Cited by 74 · see citing works
Smit, T. H., Müller, R., van Dijk, M., & Wuisman, P. I. J. M. (2003) · Spine · doi:10.1097/01.brs.0000083285.09184.7a · Cited by 74 · see citing works
Zhu, H., Zhou, S., Yan, Z., Ju, J.-W. W., & Chen, Q. (2014) · International Journal of Damage Mechanics · doi:10.1177/1056789514522503 · Cited by 74 · see citing works
Modeling of Biological Materials
Mollica, F., Rajagopal, K. R., & Preziosi, L. (2007) · Modeling and simulation in science, engineering & technology · doi:10.1007/b138320 · Cited by 74 · see citing works
On the fabric tensor of polydisperse granular materials in 2D
Madadi, M., Tsoungui, O., Lätzel, M., & Luding, S. (2004) · International Journal of Solids and Structures · doi:10.1016/j.ijsolstr.2003.12.005 · Cited by 73 · see citing works
PTH Signaling During Exercise Contributes to Bone Adaptation
Gardinier, J. D., Mohamed, F. F., & Kohn, D. H. (2014) · Journal of Bone and Mineral Research · doi:10.1002/jbmr.2432 · Cited by 73 · see citing works
Empirical relationships between bone density and ultimate strength: A literature review
Fleps, I., Bahaloo, H., Zysset, P. K., Ferguson, S. J., Pálsson, H., & Helgason, B. (2020) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2020.103866 · Cited by 73 · see citing works
Rational approach to anisotropy of sand
Wu, W. (1998) · International Journal for Numerical and Analytical Methods in Geomechanics · doi:10.1002/(sici)1096-9853(1998110)22:11 · Cited by 71 · see citing works
A crack tensor and its relation to wave velocity anisotropy in jointed rock masses
Oda, M., Yamabe, T., & Kamemura, K. (1986) · International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts · doi:10.1016/0148-9062(86)92304-1 · Cited by 71 · see citing works
Unified Anisotropic Elastoplastic Model for Sand
Zhao, J., & Gao, Z. (2015) · Journal of Engineering Mechanics · doi:10.1061/(asce)em.1943-7889.0000962 · Cited by 71 · see citing works
On the employ of meshless methods in biomechanics
Doblaré, M., Cueto, E., Calvo, B., Martínez, M. A., García‐Aznar, J. M., & Cegoñino, J. (2004) · Computer Methods in Applied Mechanics and Engineering · doi:10.1016/j.cma.2004.06.031 · Cited by 70 · see citing works
Alwood, J. S., Yumoto, K., Mojarrab, R., Limoli, C. L., Almeida, E. A. C., Searby, N. D., & Globus, R. K. (2010) · Bone · doi:10.1016/j.bone.2010.05.004 · Cited by 70 · see citing works
Macroscopic model with anisotropy based on micro–macro information
Kumar, N., Luding, S., & Magnanimo, V. (2014) · Acta Mechanica · doi:10.1007/s00707-014-1155-8 · Cited by 70 · see citing works
An energy-based damage model of geomaterials—I. Formulation and numerical results
Swoboda, G., & Yang, Q. (1999) · International Journal of Solids and Structures · doi:10.1016/s0020-7683(98)00036-5 · Cited by 68 · see citing works
Gross, T. J., Pahr, D. H., & Zysset, P. K. (2012) · Biomechanics and Modeling in Mechanobiology · doi:10.1007/s10237-012-0443-2 · Cited by 68 · see citing works
- 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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