Anisotropy in hard dental tissues

The critical angle reflection technique was used to determine longitudinal and shear sonic velocity components in the exposed surface of bovine incisors along the tooth axis and perpendicular to it. By grinding a flat on the tooth surface successive layers were exposed and the velocity components measured. Plots of the velocity variation with depth were prepared which show some variation in the enamel, much less in the dentine and a sharp drop at the dentino-enamel junction. Strong evidence of anisotropy is demonstrated, especially in enamel.

The longitudinal velocity component is larger than previous values for measurements through these hard tissues. Hydroxyapatite and bone models assuming hexagonal symmetry indicate that the surface velocity should be the smaller component. The Katz hexagonally symmetrical bone model shows a significant dip in the velocity along the 45° propagation direction. If it is assumed that prior measurements correspond to the 45° rather than the c-axis direction, a set of elastic constants can be calculated which are an estimate for enamel and dentine. These resemble the Katz bone model.

Enamel C₁₁ 115, C₁₂ 42·4, C₁₃ 30, ₃₃ 125, C₄₄ 22·8

Dentine C₁₁ 37, C₁₂ 16·6, C₁₃ 8·7, C₃₃ 39, C₄₄ 5·7

Katz bone model C₁₁ 31, C₁₂ 14·7, C₁₃ 11·3, C₃₃ 33, C₄₄ 6·2

(all × 10⁹N/m²)

Poisson's ratio for enamel is estimated to be 0·28 and for dentine 0·32.