Abstract
A one dimensional poroelastic model of trabecular bone was developed to investigate the pore pressure effect on mechanical behavior. The poroclastic properties were determined based upon the assumed drained Poisson's ratio of 0.3 and the experimental results reported in the literature. Even though the free escape of the fluid through the loading end was allowed during deformation, model predictions showed that the pore pressure generation within the trabecular bone would cause significant variations in total stress. The total stress increase resulted in a stiffening of the trabecular bone, which supports the concept of hydraulic stiffening that has been advocated by several investigators. Model predictions showed a good agreement to the mechanical behaviors of trabecular bone specimens with marrow in a uniaxial strain condition observed in a previous study. These results support the hypothesis that the trabecular bone is poroelastic and the pore pressure effect on the mechanical behavior at the continuum level is significant. Thus, the incorporation of the fluid effect in future studies is recommended to improve our understanding of trabecular bone mechanics.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bryant, J. D., 1988, “On the Mechanical Function of Marrow in Long Bone,”Eng. Med., Vol. 17, pp. 55–58.
Carter, D. R., and Hayes, W. C., 1977, “The Compressive Behavior of Bone as a Two-phase Porous Structure,”J. Bone Joint Surg., Vol. 59A, pp. 954–962.
Deligianni, D. D., Maris, A., and Missirlis, Y. F., 1994, “Stress Relaxation Behavior of Trabecular Bone Specimens,”J. Biomech., Vol. 27, pp. 1469–1476.
Detournay, E., and Cheng, H. D., 1993,Fundamentals of poroelasticity. Comprehensive Rock Engineering: Principles, Practice and Projects (Hudson, J., edited), Vol. 2, pp. 113–171. Pergamon Press, New York.
Downey, D. J., Simkin, P. A., and Taggart, R., 1988, “Compressive Loading Raises Intraosscous Pressure in the Femoral Head,”J. Bone Joint Surg., Vol. 70A, pp. 871–877.
Ducheyne, P., Heymans, L., Martens, M., Aernoudt, E., de Meester, P., and Mulier, J. C., 1977. “The Mechanical Behavior of Intracondylar Cancellous Bone of the Femur at Different Loading Rates,”J. Biomech., Vol. 10, pp. 747–762.
Goel, V. K., Valliappan, S., and Svensson, N. L., 1978, “Stresses in the Normal Pelvis,”Comput. Biol. Med., Vol. 8, pp. 91–104.
Green, D. H., and Wang, H. F., 1986, “Fluid Pressure Response to Undrained Compression in Saturated Sedimentary Rock,”Geophys., Vol. 51, pp. 948–956.
Harrigan, T. P., and Hamilton, J. J., 1993, “Bone Strain Sensation Via Transmembrane Potential Changes in Surface Ostcoblasts: Loading Rate and Microstructural Implications,”J. Biomech., Vol. 26, pp. 183–200.
Hughes, M. S., Davies, R., Khan, R., and Kelly, P., 1978, “Fluid Space in Bone,”Clinical Orthop. Res., Vol. 134, pp. 332–341.
Johnson, M. W., Chakkalakal, D. A., Harper, R. A., Karz, J. L., and Rouhana, S. W., 1982. “Fluid Flow in Bone,”J. Biomech., Vol. 11, pp. 881–885.
Kafka, V., and Jirová, J., 1983, “A Structural Mathematical Model for the Viscoelastic Anisotropic Behavior of Trabecular Bone,”Biorheology, Vol. 20, pp. 795–806.
Keaveny, T. M., and Hayes, W. C., 1993, “A 20 year Perspective on the Mechanical Properties of Trabecular Bone,”J. Biomech. Eng., Vol. 115, pp. 534–542.
Li, G., Bromk, J. T., and Kelly, P. J., 1987, “Permeability of Cortical Bone of Canine Tibiae,”Microvascular Res., Vol. 34, pp. 302–310.
Linde, F., Nfrgaard, P., Hvid, L., Odgaard, A., and Sfballe, K., 1991, “Mechanical Properties of Trabecular Bone. Dependence on Strain Rate,”J. Biomech., Vol. 24, pp. 803–809.
Luo, Z. P., Ochoa, J. A., and Hillberry, B. M., 1993, “Effect of Specimen Size on Hydraulic Stiffening of Cancellous Bone,”Tans. Orthopaedic Research Society, Vol. 18, pp. 174.
Nowinski, J. L., 1972, “Stress Concentration Around a Cylindrical Cavity in a Bone Treated as a Poroelastic Body,”Acta Mechanica, Vol. 13, pp. 281–192.
Ochoa, J. A., Sanders, A. P., Heck, D. A., and Hillberry, B. M., 1994, “Stiffening of the Femoral Head Due to Intertrabecular Fluid and Intraosseous Pressure,”J. Biomech. Eng., Vol. 113, pp. 259–262.
Ochoa, J. A., and Hillberry, B. M., 1992, “Permeability of Bovine Cancellous Bone,”Trans. Orthopaedic Research Society, Vol. 17, pp. 162.
Rice, J. R., and Cleary, M. P., 1976, “Some Basic Stress-Diffusion Solutions for Fluid Saturated Elastic Porous Media with Compressible Constituents,”Res. Geophys. Space Phys., Vol. 14, pp. 227–241.
Scheidegger, A. E., 1957,The Physics of Flow Through Porous Media. University of Toronto Press, Toronto.
Snyder B. D., 1991,Anisotropic Structure-Property Relations for Trabecular Bone, Ph.D. Dissertation, Univ. Pennsylvania.
Tateishi, T., 1979,Rheological characteristics of human joints. Recent research on echanical behavior solids, pp. 179–204. Univ. Tokyo Press, Tokyo, Japan.
Zhang, D., and Cowin, S. C., 1994, “Oscillatory Bending of a Poroelastic Beam,”J. Mech. Phys. Solids, Vol. 42, pp. 1575–1599.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hong, J.H., Song, S.H. Poroelastic behavior of trabecular bone: The effect of strain rate. KSME International Journal 12, 421–428 (1998). https://doi.org/10.1007/BF02946357
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02946357