Effect of the Lacuna Distribution on Stress and Strain in Single Osteon

Authors

  • A.A Ismail Fracture and Damage Mechanic Research Group, School of Mechatronic Engineering, Pauh Putra Campus, Universiti Malaysia Perlis (UniMAP), 02600 Arau, Perlis, Malaysia
  • R. Daud Fracture and Damage Mechanic Research Group, School of Mechatronic Engineering, Pauh Putra Campus, Universiti Malaysia Perlis (UniMAP), 02600 Arau, Perlis, Malaysia
  • M.I. Omar Fracture and Damage Mechanic Research Group, School of Mechatronic Engineering, Pauh Putra Campus, Universiti Malaysia Perlis (UniMAP), 02600 Arau, Perlis, Malaysia
  • A.K. Junoh Institute of Engineering Mathematics, Universiti Malaysia Perlis (UniMAP), Pauh Putra Campus 02600 Arau, Perlis, Malaysia.
  • N.A.M. Zain Institute of Engineering Mathematics, Universiti Malaysia Perlis (UniMAP), Pauh Putra Campus 02600 Arau, Perlis, Malaysia.

Keywords:

Lacuna, Single Osteon, Stress Distribution, Strain,

Abstract

In order to understand bone behaviour and bone failure behaviour, this study aimed to investigate stress distribution and strain developed in a single osteon with a different number of lacunae when a compressive load was given. Finite element (FE) analysis of single osteon was developed, one osteon with no lacuna (Model A) and three osteon models with a different number of lacunae (10 lacunae = Model B, 8 lacunae = Model C, 6 lacunae = Model D). The single osteon is developed as a semi-circle due to symmetric structure, with the presence of Haversian canal at the centre in each model. Stress distribution in Model B, Model C and Model D were shown to yield the highest stress at the lacuna near the given load and Model A was shown to yield maximum stress near the Haversian canal. The maximum strain of Model B, Model C and Model D were measured at the ellipse lacuna near the load while the maximum strain of Model A was shown at lamella near Haversian canal. These investigated results for the stress distribution and strain in the osteon can be used in the study to determine the yield region in osteon in bone fracture study.

References

D. Vashishth, “Hierarchy of bone microdamage at multiple length scales,” Int. J. Fatigue, vol. 29, pp. 1024–1033, 2007.

A. Idkaidek and I. Jasiuk, “Cortical Bone Fracture Analysis Using XFEM – Case Study,” Int. J. Numer. Meth. Biomed. Engng., vol. 33, no. 4, 2016.

Y. Liu, B. Chen, D. Yin, and B. Chen, “Effects of direction and shape of osteocyte lacunae on resisting impact and micro-damage of osteon,” J. Mater. Sci. Mater. Med., pp. 1–7, 2017.

F. A. Sabet, A. R. Najafi, E. Hamed, and I. Jasiuk, “Modelling of bone fracture and strength at different length scales : a review,” pp. 20–30, 2016.

J. Prendergast, “Microdamage and Osteocyte- Lacuna Strain in Bone : A Microstructural Finite Element Analysis,” vol. 118, no. May, 1996.

F. J. O. Brien, D. Taylor, and T. C. Lee, “The effect of bone microstructure on the initiation and growth of microcracks,” vol. 23, 2005.

A. R. Najafi, A. R. Arshi, M. R. Eslami, S. Fariborz, and M. H. Moeinzadeh, “Micromechanics fracture in osteonal cortical bone : A study of the interactions between microcrack propagation , microstructure and the material properties,” vol. 40, pp. 2788–2795, 2007.

V. Ebacher and R. Wang, “A unique microcracking process associated with the inelastic deformation of Haversian bone,” Adv. Funct. Mater., vol. 19, no. 1, pp. 57–66, 2009.

G. C. Reilly, “Observations of microdamage around osteocyte lacunae in bone,” vol. 33, pp. 1131–1134, 2000.

D. P. Nicolella, L. F. Bonewald, and D. E. Moravits, “Measurement of microstructural strain in cortical bone,” Eur J Morphol, vol. 42, no. 1– 2, pp. 23–29, 2005.

J. D. Currey, “Stress concentrations in bone,” Q. J. Microsc. Sci., vol. 103, no. 1, pp. 111–133, 1962.

A. Ascenzi and E. Bonucci, “The Compressive Properties of Single Osteons,” Anat. Rec., vol. 161, pp. 377–392, 1967.

A. Ascenzi, “The Shearing Properties of Single Osteons ’,” Anat. Rec., vol. 172, pp. 499–510, 1971.

A. Ascenzi, E. Bonucci, and A. Simkin, “An Approach to the Mechanical Properties of Single Osteonic Lamellae,” J. Biomech., vol. 6, no. 115, pp. 227–235, 1973.

A. Ascenzi and E. Bonucci, “The Tensile Properties o f Single Osteons ’,” Anat. Rec., vol. 158, pp. 375–386, 1965.

E. Giner, C. Arango, A. Vercher, and F. J. Fuenmayor, “Numerical modelling of the mechanical behaviour of an osteon with microcracks,” J. Mech. Behav. Biomed. Mater., vol. 37, pp. 109–124, 2014.

A. A. Abdel-wahab, A. R. Maligno, and V. V Silberschmidt, “Microscale modelling of bovine cortical bone fracture : Analysis of crack propagation and microstructure using X-FEM,” Comput. Mater. Sci., vol. 52, no. 1, pp. 128–135, 2012.

A. Rath, L. F. Bonewald, and D. P. Nicolella, “Tissue strain amplification at the osteocyte lacuna : A microstructural finite element analysis,” vol. 40, pp. 2199–2206, 2007.

Downloads

Published

2018-05-30

How to Cite

Ismail, A., Daud, R., Omar, M., Junoh, A., & Zain, N. (2018). Effect of the Lacuna Distribution on Stress and Strain in Single Osteon. Journal of Telecommunication, Electronic and Computer Engineering (JTEC), 10(1-16), 146–150. Retrieved from https://jtec.utem.edu.my/jtec/article/view/4146

Issue

Vol. 10 No. 1-16: Recent Trends in Biomedical Engineering Systems and Technologies I

Section

Articles

License

TRANSFER OF COPYRIGHT AGREEMENT

The manuscript is herewith submitted for publication in the Journal of Telecommunication, Electronic and Computer Engineering (JTEC). It has not been published before, and it is not under consideration for publication in any other journals. It contains no material that is scandalous, obscene, libelous or otherwise contrary to law. When the manuscript is accepted for publication, I, as the author, hereby agree to transfer to JTEC, all rights including those pertaining to electronic forms and transmissions, under existing copyright laws, except for the following, which the author(s) specifically retain(s):

  1. All proprietary right other than copyright, such as patent rights
  2. The right to make further copies of all or part of the published article for my use in classroom teaching
  3. The right to reuse all or part of this manuscript in a compilation of my own works or in a textbook of which I am the author; and
  4. The right to make copies of the published work for internal distribution within the institution that employs me

I agree that copies made under these circumstances will continue to carry the copyright notice that appears in the original published work. I agree to inform my co-authors, if any, of the above terms. I certify that I have obtained written permission for the use of text, tables, and/or illustrations from any copyrighted source(s), and I agree to supply such written permission(s) to JTEC upon request.


Most read articles by the same author(s)