Characterization of microstructural anisotropy in orthotropic materials using a second rank tensor

Quantification of Bone Microarchitecture with the Structure Model Index

HILDEBRAND, T., & RÜEGSEGGER, P. (1997) · Computer Methods in Biomechanics and Biomedical Engineering · doi:10.1080/01495739708936692 · Cited by 1,051

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

On the dependence of the elasticity and strength of cancellous bone on apparent density

Rice, J. C., Cowin, S. C., & Bowman, J. A. (1988) · Journal of Biomechanics · doi:10.1016/0021-9290(88)90008-5 · Cited by 734

The relationship between the elasticity tensor and the fabric tensor

Cowin, S. C. (1985) · Mechanics of Materials · doi:10.1016/0167-6636(85)90012-2 · Cited by 570

Fabric 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

Mechanical properties of cortical bone and their relationships with age, gender, composition and microindentation properties in the elderly

Mirzaali, M. J., Schwiedrzik, J. J., Thaiwichai, S., Best, J. P., Michler, J., Zysset, P. K., & Wolfram, U. (2016) · Bone · doi:10.1016/j.bone.2015.11.018 · Cited by 325

Determinants of the mechanical properties of bones

Martin, R. B. (1991) · Journal of Biomechanics · doi:10.1016/0021-9290(91)90379-2 · Cited by 316

Age-Related Changes in the Compressive Strength of Cancellous Bone. The Relative Importance of Changes in Density and Trabecular Architecture*

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

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

Constitutive relationships of fabric, density, and elastic properties in cancellous bone architecture

Kabel, J., van Rietbergen, B., Odgaard, A., & Huiskes, R. (1999) · Bone · doi:10.1016/s8756-3282(99)00190-8 · Cited by 206

Biochar application with reduced chemical fertilizers improves soil pore structure and rice productivity

An, N., Zhang, L., Liu, Y., Shen, S., Li, N., Wu, Z., Yang, J., Han, W., & Han, X. (2022) · Chemosphere · doi:10.1016/j.chemosphere.2022.134304 · Cited by 135

The role of fabric in the quasi-static compressive mechanical properties of human trabecular bone from various anatomical locations

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

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

X-ray-based quantitative osteoporosis imaging at the spine

Löffler, M. T., Sollmann, N., Mei, K., Valentinitsch, A., Noël, P. B., Kirschke, J. S., & Baum, T. (2020) · Osteoporosis International · doi:10.1007/s00198-019-05212-2 · Cited by 114

Compressive fatigue behavior of human vertebral trabecular bone

Rapillard, L., Charlebois, M., & Zysset, P. K. (2006) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2005.04.033 · Cited by 113

Opposite effects of leptin on bone metabolism: a dose-dependent balance related to energy intake and insulin-like growth factor–I pathway

Martin, A., David, V., Malaval, L., Lafage-Proust, M.-H., Vico, L., & Thomas, T. (2007) · Endocrinology · doi:10.1210/en.2006-1541 · Cited by 111

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

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

A generalized anisotropic quadric yield criterion and its application to bone tissue at multiple length scales

Schwiedrzik, J. J., Wolfram, U., & Zysset, P. K. (2013) · Biomechanics and Modeling in Mechanobiology · doi:10.1007/s10237-013-0472-5 · Cited by 77

Dependence of elastic constants of an anisotropic porous material upon porosity and fabric

Turner, C. H., & Cowin, S. C. (1987) · Journal of Materials Science · doi:10.1007/bf01161180 · Cited by 60

A 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

Evaluating the macroscopic yield behaviour of trabecular bone using a nonlinear homogenisation approach

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

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

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

European Society of Biomechanics S.M. Perren Award 2008: Using temporal trends of 3D bone micro-architecture to predict bone quality

Pauchard, Y., Mattmann, C., Kuhn, A., Gasser, J. A., & Boyd, S. K. (2008) · Journal of Biomechanics · doi:10.1016/j.jbiomech.2008.07.036 · Cited by 12

Mineral fortification modifies physical and microstructural characteristics of milk gels coagulated by a bacterial enzymatic pool

Lombardi, J., Pellegrino, J. M., Soazo, M., Corrêa, A. P. F., Brandelli, A., Risso, P., & Boeris, V. (2018) · Colloids and Surfaces B: Biointerfaces · doi:10.1016/j.colsurfb.2017.10.043 · Cited by 9