The relationship between the elasticity tensor and the fabric tensor

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

Diffusion‐based MR methods for bone structure and evolution

Sigmund, E. E., Cho, H., Chen, P., Byrnes, S. J., Song, Y., Guo, X.-D. E., & Brown, T. R. (2007) · Magnetic Resonance in Medicine · doi:10.1002/mrm.21281 · Cited by 30

An energy-based constitutive model for anisotropic solids subject to damage

Biegler, M. W., & Mehrabadi, M. M. (1995) · Mechanics of Materials · doi:10.1016/0167-6636(94)00015-9 · Cited by 30

Remarks on the paper entitled ‘Fabric and elastic principal directions of cancellous bone are closely related’

Cowin, S. C. (1997) · Journal of Biomechanics · doi:10.1016/s0021-9290(97)85609-6 · Cited by 30

Trabecular health of vertebrae based on anisotropy in trabecular architecture and collagen/apatite micro-arrangement after implantation of intervertebral fusion cages in the sheep spine

Ishimoto, T., Yamada, K., Takahashi, H., Takahata, M., Ito, M., Hanawa, T., & Nakano, T. (2017) · Bone · doi:10.1016/j.bone.2017.12.012 · Cited by 29

Separate effects of osteoporosis and density on the strength and stiffness of human cancellous bone

Hodgskinson, R., & Currey, J. D. (1993) · Clinical Biomechanics · doi:10.1016/0268-0033(93)90036-h · Cited by 29

Prediction of apparent trabecular bone stiffness through fourth-order fabric tensors

Rodrigo Moreno, A., Smedby, Ö., & Pahr, D. H. (2015) · Biomechanics and Modeling in Mechanobiology · doi:10.1007/s10237-015-0726-5 · Cited by 28

Effect of Specimen-Specific Anisotropic Material Properties in Quantitative Computed Tomography-Based Finite Element Analysis of the Vertebra

Unnikrishnan, G. U., Barest, G. D., Berry, D. B., Hussein, A. I., & Morgan, E. F. (2013) · Journal of Biomechanical Engineering · doi:10.1115/1.4025179 · Cited by 28

Quantifying trabecular bone material anisotropy and orientation using low resolution clinical CT images: A feasibility study

Nazemi, S. M., Cooper, D. M. L., & Johnston, J. D. (2016) · Medical Engineering & Physics · doi:10.1016/j.medengphy.2016.06.011 · Cited by 28

ANN-aided evaluation of dual-phase microstructural fabric tensors for continuum plasticity representation

Weng, H., Luo, C., & Yuan, H. (2022) · International Journal of Mechanical Sciences · doi:10.1016/j.ijmecsci.2022.107560 · Cited by 28

Image-based multiscale mechanical modeling shows the importance of structural heterogeneity in the human lumbar facet capsular ligament

Zarei, V., Liu, C. J., Claeson, A. A., Akkin, T., & Barocas, V. H. (2017) · Biomechanics and Modeling in Mechanobiology · doi:10.1007/s10237-017-0896-4 · Cited by 28

Direct calculation of the surface-to-volume ratio for human cancellous bone

Fyhrie, D. P., Fazzalari, N. L., Goulet, R., & Goldstein, S. A. (1993) · Journal of Biomechanics · doi:10.1016/0021-9290(93)90057-l · Cited by 27

Microarchitecture and bone quality in the human calcaneus: Local variations of fabric anisotropy

Souzanchi, M. F., Palacio-Mancheno, P., Borisov, Y. A., Cardoso, L., & Cowin, S. C. (2012) · Journal of Bone and Mineral Research · doi:10.1002/jbmr.1710 · Cited by 27

A novel approach to estimate trabecular bone anisotropy from stress tensors

Hazrati, J., Ito, K., & van Rietbergen, B. (2014) · Biomechanics and Modeling in Mechanobiology · doi:10.1007/s10237-014-0584-6 · Cited by 27

On the relationship between the orthotropic Young's moduli and fabric

Cowin, S. C., & Turner, C. H. (1992) · Journal of Biomechanics · doi:10.1016/0021-9290(92)90062-6 · Cited by 27

Simulation of localization failure with strain‐gradient‐enhanced damage mechanics

Weiyuan, Z., Zhao, J., Liu, Y., & Yang, Q. (2002) · International Journal for Numerical and Analytical Methods in Geomechanics · doi:10.1002/nag.225 · Cited by 27

How morphology predicts mechanical properties of trabecular structures depends on intra-specimen trabecular thickness variations

van Lenthe, H., & Huiskes, R. (2002) · Journal of Biomechanics · doi:10.1016/s0021-9290(02)00081-7 · Cited by 27

Sampling sphere orientation distribution: An efficient method to quantify trabecular bone fabric on grayscale images

Varga, P., & Zysset, P. K. (2009) · Medical Image Analysis · doi:10.1016/j.media.2009.02.007 · Cited by 26

Computational methods for analyzing the structure of cancellous bone in planar sections

Kuo, A. D., & Carter, D. R. P. (1991) · Journal of Orthopaedic Research® · doi:10.1002/jor.1100090619 · Cited by 26

Incorporating the effects of fabric in the dilatant double shearing model for planar deformation of granular materials

Zhu, H., Mehrabadi, M. M., & Massoudi, M. (2005) · International Journal of Plasticity · doi:10.1016/j.ijplas.2005.04.008 · Cited by 26

Orthotropic properties of cancellous bone modelled as parameterized cellular material

Kowalczyk, P. (2006) · Computer Methods in Biomechanics & Biomedical Engineering · doi:10.1080/10255840600751473 · Cited by 26

Two and three-dimensional morphometric analysis of trabecular bone using X-ray microtomography (µCT)

da Silva, A. M. H., Alves, J. M., da Silva, O. L., & da Silva, N. F. (2014) · Research on Biomedical Engineering · doi:10.1590/rbeb.2014.011 · Cited by 25

Three dimensional distribution of the mastic in asphalt composites

Bhasin, A., Izadi, A., & Bedgaker, S. (2011) · Construction and Building Materials · doi:10.1016/j.conbuildmat.2011.04.046 · Cited by 25

Particle spin in anisotropic granular materials

Jenkins, J. T., & Ragione, L. L. (2001) · International Journal of Solids and Structures · doi:10.1016/s0020-7683(00)00073-1 · Cited by 25

The Mechanical and Remodeling Properties of Trabecular Bone

Goldstein, S. A., Hollister, S. J., Kuhn, J. L., & Kikuchi, N. (1990) · Springer eBooks · doi:10.1007/978-1-4612-3450-0_3 · Cited by 25

Alterations in trabecular bone microarchitecture in the ovine spine and distal femur following ovariectomy

Kreipke, T. C., Rivera, N. C., Garrison, J. G., Easley, J. T., Turner, A. S., & Niebur, G. L. (2014) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2014.03.025 · Cited by 24

A probabilistic constitutive model for closed-cell foams

Beckmann, C., & Hohe, J. (2016) · Mechanics of Materials · doi:10.1016/j.mechmat.2016.01.016 · Cited by 24

An algorithm for generating microstructures of fiber‐reinforced composites with long fibers

Schneider, M. (2022) · International Journal for Numerical Methods in Engineering · doi:10.1002/nme.7110 · Cited by 23

Bounding surface rotational hardening model for overconsolidated clay accounting for evolving fabric anisotropy

Yu, Y., & Yang, Z. (2022) · International Journal for Numerical and Analytical Methods in Geomechanics · doi:10.1002/nag.3473 · Cited by 23

Structural analysis of rat bone explants kept in vitro in simulated microgravity conditions

Cosmi, F., Steimberg, N., Dreossi, D., & Mazzoleni, G. (2008) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2008.06.004 · Cited by 24

The potential of multi-slice computed tomography based quantification of the structural anisotropy of vertebral trabecular bone

Tabor, Z., Petryniak, R., Latała, Z., & Konopka, T. (2012) · Medical Engineering & Physics · doi:10.1016/j.medengphy.2012.03.003 · Cited by 23

μCT-based trabecular anisotropy can be reproducibly computed from HR-pQCT scans using the triangulated bone surface

Hosseini, H. S., Maquer, G., & Zysset, P. K. (2017) · Bone · doi:10.1016/j.bone.2017.01.016 · Cited by 23

Intrinsic mechanical properties of trabecular calcaneus determined by finite-element models using 3D synchrotron microtomography

Follet, H., Peyrin, F., Vidal-Sallé, E., Bonnassie, A., Rumelhart, C., & Meunier, P. J. (2006) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2006.10.032 · Cited by 23

ON THE FAILURE OF GRANULAR MATERIALS WITH FABRIC EFFECTS

Guo, P., & Stolle, D. F. E. (2005) · 土質工学会論文報告集 · doi:10.3208/sandf.45.4_1 · Cited by 23

On the dependence of orientation averaging mean field homogenization on planar fourth-order fiber orientation tensors

Bauer, J. K., & Böhlke, T. (2022) · Mechanics of Materials · doi:10.1016/j.mechmat.2022.104307 · Cited by 22

An explicit expression of second-order fabric-tensor dependent elastic compliance tensor

Yang, Q., Li, Z., & Tham, L. G. (2001) · Mechanics Research Communications · doi:10.1016/s0093-6413(01)00170-7 · Cited by 22

Mechanical Properties of Bone

Martin, R. B., Burr, D. B., Sharkey, N. A., & Fyhrie, D. P. (2015) · Springer eBooks · doi:10.1007/978-1-4939-3002-9_7 · Cited by 22

Determination of anisotropic elastic parameters from morphological parameters of cancellous bone for osteoporotic lumbar spine

Oefner, C., Riemer, E., Funke, K., Werner, M., Heyde, C.-E., & Schoenfelder, S. (2021) · Medical & Biological Engineering & Computing · doi:10.1007/s11517-021-02465-0 · Cited by 21

Micromechanical Modeling for the Deformation of Sand with Noncoaxiality between the Stress and Material Axes

Chang, C. S., & Bennett, K. C. (2015) · Journal of Engineering Mechanics · doi:10.1061/(asce)em.1943-7889.0000966 · Cited by 21

On the equivalence of two methods of determining fabric tensor

Tabor, Z. (2009) · Medical Engineering & Physics · doi:10.1016/j.medengphy.2009.09.003 · Cited by 21

Stiffness Design of Continuum Structures by a Bionics Topology Optimization Method

Cai, K., Chen, B., Zhang, H., & Shi, J. (2008) · Journal of Applied Mechanics · doi:10.1115/1.2936929 · Cited by 21

Simulation Study on Local and Integral Mechanical Quantities at Single Trabecular Level as Candidates of Remodeling Stimuli

TSUBOTA, K.-I., & ADACHI, T. (2006) · Journal of Biomechanical Science and Engineering · doi:10.1299/jbse.1.124 · Cited by 21

Modelling of anisotropic sand behaviour

Pastor, M. (1991) · Computers and Geotechnics · doi:10.1016/0266-352x(91)90019-c · Cited by 21

Anisotropic hyperelasticity using a fourth-order structural tensor approach

O’Shea, D. J., Attard, M. M., & Kellermann, D. C. (2020) · International Journal of Solids and Structures · doi:10.1016/j.ijsolstr.2020.03.021 · Cited by 20

Patient-Specific Biomechanical Modeling of Bone Strength Using Statistically-Derived Fabric Tensors

Lekadir, K., Noble, C., Hazrati, J., Hoogendoorn, C., van Rietbergen, B., Taylor, Z. A., & Frangi, A. F. (2015) · Annals of Biomedical Engineering · doi:10.1007/s10439-015-1432-2 · Cited by 20

A theoretical model to predict distribution of the fabric tensor and apparent density in cancellous bone

An, K., & Luo, Z. (1998) · Journal of Mathematical Biology · doi:10.1007/s002850050114 · Cited by 20

Relationship between electrical conductivity anisotropy and fabric anisotropy in granular materials during drained triaxial compressive tests: a numerical approach

Niu, Q., Revil, A., Li, Z., & Wang, Y.-H. (2017) · Geophysical Journal International · doi:10.1093/gji/ggx140 · Cited by 19

Accounting for spatial variation of trabecular anisotropy with subject-specific finite element modeling moderately improves predictions of local subchondral bone stiffness at the proximal tibia

Nazemi, S. M., Kalajahi, S. M. H., Cooper, D. M. L., Kontulainen, S. A., Holdsworth, D. W., Masri, B. A., Wilson, D. R., & Johnston, J. D. (2017) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2017.05.018 · Cited by 19

THE MANDIBLE REMODELING INDUCED BY DENTAL IMPLANTS: A MESHLESS APPROACH

Belinha, J., Dinis, L. M. J. S., & Jorge, R. N. (2015) · Journal of Mechanics in Medicine and Biology · doi:10.1142/s0219519415500591 · Cited by 19

Structure–property linkage in shocked multi-material flows using a level-set-based Eulerian image-to-computation framework

Roy, S., Rai, N. K., Sen, O., & Udaykumar, H. S. (2020) · Shock Waves · doi:10.1007/s00193-020-00947-y · Cited by 19

Numerical simulation of bone remodelling around dental implants

Ojeda, J., Martínez‐Reina, J., García‐Aznar, J. M., Domínguez, J., & Doblaré, M. (2011) · Proceedings of the Institution of Mechanical Engineers Part H Journal of Engineering in Medicine · doi:10.1177/0954411911410165 · Cited by 19

Numerical and experimental structural analysis of trabecular architectures

Cosmi, F., & Dreossi, D. (2006) · Meccanica · doi:10.1007/s11012-006-9024-8 · Cited by 19

The Meshless Methods in the Bone Tissue Remodelling Analysis

Belinha, J., Dinis, L. M. J. S., & Jorge, R. N. (2015) · Procedia Engineering · doi:10.1016/j.proeng.2015.07.009 · Cited by 18

A formulation of anisotropic elastic damage using compact tensor formalism

Rizzi, E., & Carol, I. (2001) · Journal of Elasticity · doi:10.1023/a:1015284701032 · Cited by 18

Anisotropic poroelasticity and the response of faulted rock to changes in pore-fluid pressure

Healy, D. (2012) · Geological Society London Special Publications · doi:10.1144/sp367.14 · Cited by 18

Modelling of Sand Behaviour: Cyclic Loading, Anisotropy and Localization

Pastor, M., Zienkiewicz, O. C., Guang-Dou, X., & Peraire, J. (1993) · Elsevier eBooks · doi:10.1016/b978-0-444-89970-5.50027-3 · Cited by 18

Qualitative analysis of strain localization. Part I: Transversely isotropic elasticity and isotropic plasticity

Rizzi, E., & Loret, B. (1997) · International Journal of Plasticity · doi:10.1016/s0749-6419(97)00021-1 · Cited by 18

Comparative assessment of bone mass and structure using texture-based and histomorphometric analyses

Xiang, Y., Yingling, V. R., Malique, R., Li, C. Y., Schaffler, M. B., & Raphan, T. (2006) · Bone · doi:10.1016/j.bone.2006.08.015 · Cited by 18

Exploratory Full-Field Strain Analysis of Regenerated Bone Tissue from Osteoinductive Biomaterials

Fernández, M. P., Black, C. R. M., Dawson, J. I., Gibbs, D., Kanczler, J. M., Oreffo, R. O. C., & Tozzi, G. (2020) · Materials · doi:10.3390/ma13010168 · Cited by 17

Can DXA image-based deep learning model predict the anisotropic elastic behavior of trabecular bone?

Xiao, P., Haque, E., Zhang, T., Dong, X., Huang, Y., & Wang, X. (2021) · Journal of the mechanical behavior of biomedical materials/Journal of mechanical behavior of biomedical materials · doi:10.1016/j.jmbbm.2021.104834 · Cited by 18

Biomechanics of the Human Osteochondral Unit: A Systematic Review

Berni, M., Marchiori, G., Baleani, M., Giavaresi, G., & Lopomo, N. F. (2024) · Materials · doi:10.3390/ma17071698 · Cited by 17

Constructing anisotropic finite element model of bone from computed tomography (CT)

Kazembakhshi, S., & Luo, Y. (2014) · Bio-Medical Materials and Engineering · doi:10.3233/bme-141078 · Cited by 17

Mechanical Properties of Human Mineralized Connective Tissues

Santis, R. D., Ambrosio, L., Mollica, F., Netti, P. A., & Nicolais, L. (2007) · Birkhäuser Boston eBooks · doi:10.1007/978-0-8176-4411-6_6 · Cited by 17

Anisotropic bone remodeling of a biomimetic metal-on-metal hip resurfacing implant

Caouette, C., Bureau, M., Vendittoli, P., Lavigne, M. J. F., & Nuño, N. (2011) · Medical Engineering & Physics · doi:10.1016/j.medengphy.2011.08.015 · Cited by 17

Equivalence of mean intercept length and gradient fabric tensors – 3d study

Tabor, Z. (2011) · Medical Engineering & Physics · doi:10.1016/j.medengphy.2011.09.006 · Cited by 17

Micro-computed tomography and compressive characterization of trabecular bone

Vale, A. C., Pereira, M. F. C., Maurício, A., Amaral, P. M., Rosa, L. G., Lopes, A. G. B., Rodrigues, A. M., Caetano‐Lopes, J., Vidal, B., Monteiro, J., et al. (2013) · Colloids and Surfaces A Physicochemical and Engineering Aspects · doi:10.1016/j.colsurfa.2013.01.057 · Cited by 17

The Effect of Damage on the Viscoelastic Behavior of Human Vertebral Trabecular Bone

Bredbenner, T. L., & Davy, D. T. (2006) · Journal of Biomechanical Engineering · doi:10.1115/1.2205370 · Cited by 17

Biphasic Theory and In Vitro Assays of Cell-Fibril Mechanical Interactions in Tissue-Equivalent Gels

Barocas, V. H., & Tranquillo, R. T. (1994) · Springer eBooks · doi:10.1007/978-1-4613-8425-0_12 · Cited by 17

Bounding Surface Plasticity Model for Clay under Cyclic Loading Conditions Considering Fabric Anisotropy

Yu, Y., & Yang, Z. (2023) · Journal of Engineering Mechanics · doi:10.1061/jenmdt.emeng-7148 · Cited by 16

An orientation corrected shaking method for the microstructure generation of short fiber-reinforced composites with almost planar fiber orientation

Lauff, C., Schneider, M., Montesano, J., & Böhlke, T. (2023) · Composite Structures · doi:10.1016/j.compstruct.2023.117352 · Cited by 16

Characterization of structure and properties of bone by spectral measure method

Cherkaev, E., & Bonifasi‐Lista, C. (2010) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2010.10.031 · Cited by 16

Finite element analysis of a bone-implant system with the proximal femur nail

Helwig, P., Faust, G., Hindenlang, U., Kröplin, B., & Eingartner, C. (2006) · Technology and Health Care · doi:10.3233/thc-2006-144-522 · Cited by 16

Elastic 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

Structural additive manufacturing parts bio-inspired from trabecular bone form-function relationship

Cadoret, N., Chaves‐Jacob, J., & Linares, J. (2023) · Materials & Design · doi:10.1016/j.matdes.2023.112029 · Cited by 15

Fabric dependence of bone ultrasound.

Cowin, S. C., & Cardoso, L. (2010) · PubMed · Cited by 15

The Specific Growth Rates of Tissues: A Review and a Re-Evaluation

Cowin, S. C. (2011) · Journal of Biomechanical Engineering · doi:10.1115/1.4003341 · Cited by 15

Anisotropic stress and shear wave velocity: DEM studies of a crystalline granular material

O’Donovan, J., O’Sullivan, C., Marketos, G., & Wood, D. M. (2015) · Géotechnique Letters · doi:10.1680/geolett.15.00032 · Cited by 15

Fracture-Induced Anisotropy of the Stress–Strain Response of Shale at Multiple Scales

Xu, H. F., Busetti, S., & Arson, C. F. (2017) · International Journal of Geomechanics · doi:10.1061/(asce)gm.1943-5622.0000897 · Cited by 15

Biomechanics of Bone

Goldstein, S. A., Frankenburg, E. P., & Kuhn, J. L. (1993) · Springer eBooks · doi:10.1007/978-1-4757-2264-2_9 · Cited by 15

The loss of stiffness as osteoporosis progresses

Werner, H. J., Martin, H., Behrend, D., Schmitz, K., & Schober, H. (1996) · Medical Engineering & Physics · doi:10.1016/1350-4533(96)00012-4 · Cited by 15

On the Phase Space of Fourth-Order Fiber-Orientation Tensors

Bauer, J. K., Schneider, M., & Böhlke, T. (2023) · Journal of Elasticity · doi:10.1007/s10659-022-09977-2 · Cited by 14

X-Ray Microtomography for Food Quality Analysis

Laverse, J., Frisullo, P., Conte, A., & Nobile, M. A. D. (2012) · InTech eBooks · doi:10.5772/32264 · Cited by 14

A femoral model with all relevant muscles and hip capsule ligaments

Helwig, P., Hindenlang, U., Hirschmüller, A., Konstantinidis, L., Südkamp, N. P., & Schneider, R. (2011) · Computer Methods in Biomechanics & Biomedical Engineering · doi:10.1080/10255842.2011.631918 · Cited by 14

X-ray 3D imaging–based microunderstanding of granular mixtures: Stiffness enhancement by adding small fractions of soft particles

Taghizadeh, K., Ruf, M., Luding, S., & Steeb, H. (2023) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.2219999120 · Cited by 14

A weakly nonlocal anisotropic fluid model for inhomogeneous Stokesian suspensions

Goddard, J. (2008) · Physics of Fluids · doi:10.1063/1.2911011 · Cited by 14

Spatial orientation in bone samples and Young's modulus

Geraets, W. G. M., van Ruijven, L. J., Verheij, J. G. C., van der Stelt, P. F., & van Eijden, T. M. G. J. (2008) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2008.04.016 · Cited by 14

An element-wise scheme to analyse local mechanical anisotropy in fibre-reinforced composites

Javanbakht, Z., Hall, W., & Öchsner, A. Ö. (2020) · Materials Science and Technology · doi:10.1080/02670836.2020.1762296 · Cited by 14

Experimental quantification and DEM simulation of micro-macro behaviors of granular materials using x-ray tomography imaging

Fu, Y. (2005) · doi:10.31390/gradschool_dissertations.4030 · Cited by 14

Fabric tensors and effective properties of granular materials with application to snow

Shertzer, R. H. (2011) · Montana State University ScholarWorks (Montana State University) · Cited by 14

Relation between mechanical and densimetric properties to fractal dimension in human rib cortical bone

Vilana, S. G., Sánchez‐Molina, D., Velázquez-Ameijide, J., Llumà, J., & Arregui‐Dalmases, C. (2023) · Medical Engineering & Physics · doi:10.1016/j.medengphy.2023.104004 · Cited by 13

Tortuosity and the Averaging of Microvelocity Fields in Poroelasticity

Souzanchi, M. F., Cardoso, L., & Cowin, S. C. (2012) · Journal of Applied Mechanics · doi:10.1115/1.4007923 · Cited by 13

Micromechanical Modeling of the Anisotropy of Elastic Biological Composites

Rahmoun, J., Chaari, F., Markiewicz, É., & Drazétic, P. (2009) · Multiscale Modeling and Simulation · doi:10.1137/080745377 · Cited by 13

Fabric-mechanical property relationships of trabecular bone allografts are altered by supercritical CO2 treatment and gamma sterilization

Schwiedrzik, J. J., Kh, K., Burner, U., & Zysset, P. K. (2011) · Bone · doi:10.1016/j.bone.2011.03.768 · Cited by 13

Predicting trabecular bone elastic properties from measures of bone volume fraction and fabric on the basis of micromagnetic resonance images

Wald, M., Magland, J. F., Rajapakse, C. S., Bhagat, Y. A., & Wehrli, F. W. (2011) · Magnetic Resonance in Medicine · doi:10.1002/mrm.23253 · Cited by 13

Three-dimensional computation of fibre orientation, diameter and branching in segmented image stacks of fibrous networks

Eekhoff, J. D., & Lake, S. P. (2020) · Journal of The Royal Society Interface · doi:10.1098/rsif.2020.0371 · Cited by 13

The mean intercept length polygons for systems of planar nets

Luo, G., Sadegh, A. M., & Cowin, S. C. (1991) · Journal of Materials Science · doi:10.1007/bf01130186 · Cited by 13

Generating microstructures of long fiber reinforced composites by the fused sequential addition and migration method

Lauff, C., Schneider, M., Montesano, J., & Böhlke, T. (2024) · International Journal for Numerical Methods in Engineering · doi:10.1002/nme.7573 · Cited by 12

Chapter A2 Cancellous Bone

Hernandez, C. J. (2016) · Springer eBooks · doi:10.1007/978-1-4939-3305-1_2 · Cited by 12

Nonlinear homogenisation of trabecular bone: Effect of solid phase constitutive model

Levrero-Florencio, F., Manda, K., Margetts, L., & Pankaj, P. (2016) · Proceedings of the Institution of Mechanical Engineers Part H Journal of Engineering in Medicine · doi:10.1177/0954411916676220 · Cited by 12

Capturing microscopic features of bone remodeling into a macroscopic model based on biological rationales of bone adaptation

Kim, Y. K., KAMEO, Y., Tanaka, S., & ADACHI, T. (2017) · Biomechanics and Modeling in Mechanobiology · doi:10.1007/s10237-017-0914-6 · Cited by 12

Local Anisotropy and Elastic Properties in a Short Glass Fibre Reinforced Polymer Composite

Cosmi, F. (2010) · Strain · doi:10.1111/j.1475-1305.2009.00670.x · Cited by 12

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