Micromechanics of Cortical Bone

Determination of Interfacial Debonding Strength of Cement Lines

The property of cement line has been hypothesized to play an important role in strength of cortical bone, and may also be a crucial factor for understanding lamellar structures in both cortical and trabecular bone tissues. The lamellar properties of bone tissue are crucial in determining mechanical properties at sub-microstructural level.

Osteon Push-Out Testing Device

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Fracture Mechanics of Osteonal Cortical Bone

Application of fiber-matrix composite fracture mechanics methods to predict strength, fracture process in osteonal cortical bone. It has been long hypothesized that cortical bone behaves like a fiber-matrix composite material without any verification. The purpose of this study is to verify applicability of current fracture mechanics techniques for fiber-matrix composites to cortical bone, to quantify contributions of various microstructural components to fracture properties of cortical bone.

Osteon Push-Out Model

Related Publications

1. Dong, X. N., Huang, Y. Y. and Guo, X. E. Transversely Isotropic Model of Osteonal Cortical Bone: Contribution of Haversian and Resorptive Porosity, presented at the Annual Winter Meeting of ASME, Nashville, Tennessee, 1999. Download
2. Dong, X. N. and Guo, X. E. The Influence of Experiment Conditions on Osteon Pushout Tests, Proc. 2001 ASME IMECE2001, BED-23031, New York, NY, Nov.11-16, 2001. Download
3. Dong, X. N. and Guo, X. E. The dependence of transversely isotropic elasticity of human femoral cortical bone on porosity. J Biomech. 2004 37(8):1281-7.
4. X. Neil Dong, Xiaohui Zhang, Y. Young Huang, X. Edward Guo. Generalized self-consistent estimate for the effective elastic moduli of fiber-reinforced composite materials with multiple transversely isotropic inclusions. International Journal of Mechanical Sciences 47 (2005) 922–940.

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Finite Element formulation of Triphasic Mechano-electrochemical Theory for Charged, Hydrated Biological Soft Tissues

In collaboration with the Orthopaedic Research Laboratory at Columbia University, we are developing a mixed finite element formulation for triphasic mechano-electrochemical theory for charged, hydrated biological soft tissues, such as cartilage and cells. The finite element formulation is developed using the standard Galerkin weighted residual method. The finite element formulation has been used to investigate a triphasic stress relaxation problem in the confined compression configuration and a triphasic free swelling problem. The formulation accuracy and convergence were examined with independent finite difference methods. The FEM results are in excellent agreement with those obtained from the other methods. We are currently extending the formulation to axisymmetric and three-dimensional cases.

Related Publications

1. Lu, X. L., Sun, D. D., Chen, F. H., Guo, X. E., Lai, M. W., and Mow, V. C., Correlations of Indentation Determined Mechano-Electrochemical Properties of Articular Cartilage with Fixed Charge Density, 50th Orthopaedic Research Society Annual Meeting, 29, San Francisco, Ca, March 7-10, 2004. Download
2. Likhitpanichkul, M., Guo, X. E., Lai, M. W., and Mow, V. C., Tension-Compression Nonlinearity Influences the Mechano-Electrochemical Environment of Chondrocytes in Cartilage Under Confined Compression, 50th Orthopaedic Research Society Annual Meeting, 29, San Francisco, Ca, March 7-10, 2004. Download
3. Wan, L. Q., Miller, C., Guo, X. E., and Mow, V. C., 2004, " An Exact Theoretical Solution for Predicting the Apparent Poisson's Ratio of Articular Cartilage -- a Charged-Hydrated Biological Tissues: The Triphasic Paradigm ," IMECE2004-60961, Anaheim, California, USA.
4. Wan, L.Q., Miller, C., Guo, X. E., and Mow, V. C., 2004, '' An Exact Solution for a Nonlinear Triphasic CLE Model of Articular Cartilage Under Unconfined Compression ," BMES, Philadelphia, PA, USA
5. Wan, L. Q., Miller, C., Guo, X. E., and Mow, V. C., 2004, " Fixed Electrical Charges and Mobile Ions Affect the Measurable Mechano -Electrochemical Properties of Charged-Hydrated Biological Tissues: The Articular Cartilage Paradigm ," Mechanics & Chemistry of Biosystems , 1(1), pp.81-99.
6. Lu, X.L., Sun, D. D. ,Guo, X. E., Chen, F. H., Lai, W. M., Mow, V. C., Indentation determined mechanoelectrochemical properties and fixed charge density of articular cartilage. Ann Biomed Eng, 2004. 32(3): p. 370-9.
7. Lu, X. L., Miller, C, Chen, F. H., Guo, X. E., Mow, V. C., Using correspondence of elastic and triphisic materials to determine both fixed charge density and porosity of articular cartilage. Trans Orthop Res Soc, 2005.
8. Wan, L. Q., Miller, C., Guo, X. E., and Mow, V. C., 2005, " A Three-layer Orthotropic Model for Swelling and Curling of Articular Cartilage ," ASME2005, Vail, Colorado, USA.
9. Lu, X.L., Miller, C., Guo, X. E., Mow, V. C., The influence of the fixed negative charges on mechanical behavior of articular cartilage under indentation, ASME2005, Vail, Colorado, USA.
10. Lu, X.L., Miller, C., Guo, X. E., Mow, V. C., A new correspondence principle for triphasic materials: determination of fixed charge density and porosity of articular cartilage by indentation, ASME2005, Vail, Colorado, USA.
11. Likhitpanichkul, M., Miller C., Lu, X.L., Guo, X. E., Mow, V. C., A triphasic model of cell under micropipette aspiration: the osmotic effect on cell mechanical properties, ASME2005, Vail, Colorado, USA.
12. Wan, L.Q., Miller, C., Guo, X. E., and Mow, V. C., 2005, '' The Origin of Residual stress and Curling Behavior in Biological Tissues," BMES, Baltimore, MD, USA
13. Lu, X.L., Guo, X. E., Miller, C., Mow, V. C., Electrical Phenomena inside Articular Cartilage under Indentation, BMES, Baltimore, MD, USA

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Research Grants

1. BES-9875633 CAREER: An Efficient 3D Representation for Modeling Microstructure of Trabecular Bone and Development of An Integrated Program in Computational Biomechanics, The National Science Foundation, 7/1/99-6/30/2003.