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Dynamic Shear Properties of the Temporomandibular Joint Disc

E. Tanaka1,*, K. Hanaoka1, T. van Eijden2, M. Tanaka3, M. Watanabe1, M. Nishi1, N. Kawai1, H. Murata4, T. Hamada4, and K. Tanne1

1 Department of Orthodontics and Craniofacial Developmental Biology, Hiroshima University Graduate School of Biomedical Sciences, 1-2-3 Kasumi, Minami-ku, Hiroshima 734-8553, Japan;
2 Department of Functional Anatomy, Academic Centre for Dentistry Amsterdam (ACTA);
3 Division of Mechanical Science, Department of Systems and Human Science, Osaka University School of Engineering Science; and
4 Department of Prosthetic Dentistry, Hiroshima University Graduate School of Biomedical Sciences;



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Figure 1. Location of the two specimens (A) and block diagram (B) of the dynamic viscoelastometer with a schematic representation of the relationship between stress and strain of a viscoelastic material during a sinusoidal oscillating strain ({omega}, angular velocity). The sinusoidal strain is produced by a tension control motor in the driver, and the stress {sigma} and strain {gamma} are measured by means of load and displacement detectors and transmitted to a data processor. In a viscoelastic material, the phase difference between stress and strain is somewhere in between (0 < {delta} < {delta}/2), and the complex modulus G* is resolved into two components: the storage modulus G' and the loss modulus G'', shown vectorially. The tangent of the phase angle ({delta}) between stress and strain is a measure of the ratio of energy loss to energy stored during cyclic deformation.

 


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Figure 2. The complex modulus |G*|, storage modulus G', loss modulus G'', and loss tangent tan{delta} as a function of frequency. Error bars are standard deviations (for each group, n = 10). The frequency correlates positively with the values of the moduli.

A-P test: {circ} |G*| {triangleup} G' {square} G'' {diamond} tan{delta}

M-L test: • |G*| {blacktriangleup} G' {blacksquare} G'' {diamondsuit} tan{delta}

 


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Figure 3. Means and standard deviations of storage modulus G', loss modulus G'', and loss tangent tan{delta} at 1.0 Hz. White and black bars are values in A-P and M-L tests, respectively. Error bars are standard deviations (for each group, n = 10). Asterisks: significance of difference between the groups (** p < 0.01; * p < 0.05) as tested with a paired Student t test.

 





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