THE MECHANICAL BEHAVIOR AND THE MATHEMATICAL MODELING OF AN INTERVERTEBRAL DISC

Olivia FLOREA, Ileana ROŞCA

Abstract


In this paper was developed a study about the dynamical of the intervertebral disc. The three main properties of the bone tissue i.e. material damping, anisotropy and non-homogeneity were took into consideration. We consider the torsional vibration of a intervertebral ring under the action of a moment. Using the Laplace transformation method we obtained the general solution of the components of elastic displacement along radial, circumferential and axial direction. Using the Simulink environment from MatLab Software was given the behavior of the solutions.

Key words: biosolid mechanics, Laplace Transformation, Simulink.

 


Full Text:

PDF

References


Katz JL, Ukraincik K., On the anisotropic elastic properties of hydroxyapatite, J Biomech 4:221, 1971.

Yoon HS, Katz JL., Ultrasonic wave propagation in human cortical bone: I. Theoretical considerations of hexagonal symmetry, J Biomech 9:407, 1976.

Yoon HS, Katz JL, Ultrasonic wave propagation in human cortical bone: II. Measurements of elastic properties and microhardness, J Biomech 9:459, 1976.

Ting TCT, Anisotropic Elasticity. Theory and Applications, Oxford University Press, 1996.

Misra JC, Samanta S, A Mathematical Model for the Biomechanics of the Body of a Vertebra, Comput. Math. Applic., 5:2, 1988

Tanaka M, Wada S, Nakamura M, Computational Biomechanics Vol. 3, Springer, 2012

Schiehlen W., Eberhard P, Applied Dynamics, Springer, 2014

Beuter A, Glass L, Mackey M, Titcombe M, Nonlinear Dynamics in Physiology and Medicine, Springer, 2003

Van Buskirk WC, Ashman RB, The elastic moduli of bone. in: Mechanical Properties of Bone, Joint ASME-ASCE Bioengineering Conference. American Society of Mechanical Engineers, New York; 1981.

Lang SB, Ultrasonic method for measuring elastic coefficients of bone and results on fresh and dried bovine bones, IEEE Trans. Biomed. Engng. 1970


Refbacks

  • There are currently no refbacks.


JOURNAL INDEXED IN :