Effects of the microcrack shape, size and direction on the poroelastic behaviors of a single osteon: a finite element study

• Autorzy: Cen H-P. , Wu X-G. , Yu W-L. , Liu Q-Z. , Yia Y-M.

Identyfikatory

DOI

10.5277/ABB-00306-2015-03

• Języki publikacji: EN

Abstrakty

EN

In this work, a finite element study is proposed by using the Comsol Multiphysics software to evaluate the effects of microcrack shape, size and direction on the poroelastic behaviors of a single osteon. Methods: This finite element model is established by using the Comsol Multiphysics software, and we just focus on the comparison of the influences of those microcrack geometric parameters on the osteonal fluid pressure and velocity. Results: The results show that: (1) microcracks in the osteon wall can induce a release of the fluid pressure, but enlarge the velocity in this region; (2) equal-area microcrack with ellipsoid-like shape produced a larger fluid pressure and velocity fields in the osteon than that of rectangular shape; (3) in the elliptic microcracks, the longer of the length (major semi-axis) induces a smaller fluid pressure and velocity amplitudes, whereas the width (minor axis) has little effect; (4) the direction of the microcracks (major axial direction) has an limited influence area around about 1/15 of the osteon cross-sectional area. Conclusions: This model permits the linking of the external loads and microcracks to the osteonal fluid pressure and velocity, which can be used for other purpose associate microcracks with the mechanotransduction and bone remodeling.

Słowa kluczowe

EN

osteon; poroelasticity; microcrack; finite element

PL

poroelastyczność; mikropęknięcie; elementy skończone

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Acta of Bioengineering and Biomechanics
• Rocznik: 2016
• Tom: Vol. 18, no. 1
• Strony: 3--10
• Opis fizyczny: Bibliogr. 20 poz., rys., tab., wykr.

Twórcy

autor

Cen H-P.

• Shanxi Key Laboratory of Material Strength & Structural Impact, and College of Mechanics, Taiyuan University of Technology, Taiyuan 030024, P.R. China

autor

Wu X-G.

• Shanxi Key Laboratory of Material Strength & Structural Impact, and College of Mechanics, Taiyuan University of Technology, Taiyuan 030024, P.R. China

autor

Yu W-L.

• Shanxi Key Laboratory of Material Strength & Structural Impact, and College of Mechanics, Taiyuan University of Technology, Taiyuan 030024, P.R. China

autor

Liu Q-Z.

• College of Mechanical Engineering, Taiyuan University of Technology, Taiyuan 030024, P.R. China

autor

Yia Y-M.

• Shanxi Key Laboratory of Material Strength & Structural Impact, and College of Mechanics, Taiyuan University of Technology, Taiyuan 030024, P.R. China

Bibliografia

• [1] BAKKER A., KLEIN-NULEND J., BURGER E., Shear stress inhibits while disuse promotes osteocyte apoptosis, J. Biochemical and Biophysical Research Communications, 2004, 320, 1163–1168.
• [2] BURR D.B., The contribution of the organic matrix to bone’s material properties, J. Bone., 2002, 31, 8–11.
• [3] CARDOSO L., FRITTON S.P., GAILANI G. et al., Advances in assessment of bone porosity, permeability and interstitial fluid flow, J. Biomechanics, 2013, 46, 253–265.
• [4] DOBLARÉ M., GARCÍA J.M., GÓMEZ M.J., Modelling bone tissue fracture and healing: a review, J. Engineering Fracture Mechanics, 2004, 71, 217–238.
• [5] GALLEY S.A., MICHALEK D.J., DONAHUE S.W., A fatigue microcrack alters fluid velocities in a computational model of interstitial fluid flow in cortical bone, J. Biomechanics, 2006, 39, 2026–2033.
• [6] GOULETA G.C., HAMILTON N., COOPER D. et al., Influence of vascular porosity on fluid flow and nutrient transport in loaded cortical bone, J. Biomechanics, 2008, 41, 2169–2175.
• [7] MCNAMARA L.M., PRENDERGAST P.J., Bone remodeling algorithms incorporating both strain and microdamage stimuli, J. Biomechanics, 2007, 40, 1381–1391.
• [8] MOHSIN S., O’BRIEN F.J., LEE T.C., Microcracks in compact bone: a three-dimensional view, J. Anat., 2006, 209, 119–124.
• [9] NGUYEN V.H., LEMAIRE T., NAILI S., Anisotropic poroelastic hollow cylinders with damaged periphery under harmonically axial loadings: relevance to bone remodelling, J. Multidiscipline Modeling in Materials and Structures, 2009, 5, 205–222.
• [10] NGUYEN V.H., LEMAIRE T, NAILI S., Influence of interstitial bone microcracks on strain-induced fluid flow, J. Biomech Model Mechanobiol, 2011, 10, 963–972.
• [11] PIDAPARTI R.M.V., Microdamage simulation in a bone tissue using finite element analysis, J. Elsevier Science Ltd., 1997, 3, 463–466.
• [12] SCHAFFLER M.B., CHOI K., MILGROM C., Aging and matrix microdamage accumulation in human compact bone, J. Bone., 1995, 17, 521–525.
• [13] STEPHEN C.C., Bone poroelasticity, J. Biomechanics, 1999, 32, 217–238.
• [14] VERGANI L., COLOMBO C., LIBONATI F., Crack propagation in cortical bone: a numerical study, J. Procedia Materials Science, 2014, 3, 1524–1529.
• [15] WU X.G., CHEN W.Y., A hollow osteon model for examining its poroelastic behaviors: mathematically modeling an osteon with different boundary cases, J. Mechanics/A Solids, 2013, 40, 34–49.
• [16] WU X.G., CHEN W.Y., Poroelastic behaviors of the osteon, a comparison of two theoretical osteon models, J. Acta Mechanica Sinica, 2013, 29, 612–621.
• [17] WU X.G., CHEN W.Y., GAO Z.P. et al., The effects of Haversian fluid pressure and harmonic axial loading on the poroelastic behaviors of a single osteon, J. Science China Physics, Mechanics & Astronomy, 2012, 55, 1646–1656.
• [18] WU X.G., CHEN W.Y., WANG D.X., A mathematical osteon model for examining its poroelastic behaviors, J. Applied Mathematics and Mechanics, 2013, 34, 405–416.
• [19] WU X.G., WANG Y.Q., WU X.H. et al., Effects of microcracks on the poroelastic behaviors of a single osteon, J. Science China Physics, Mechanics & Astronomy, 2014, 57, 2161–2167.
• [20] YIN L., VENKATESAN S., WEBB D. et al., Effect of cryoinduced microcracks on microindentation of hydrated cortical bone tissue, J. Materials Characterization, 2009, 60, 783–791.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.